## CCSE Home |
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## AMReX |
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Senior Scientist, CCSE

Chief Scientist, Applied Mathematics and Computational Research Division

Director, ECP AMR Co-Design Center (AMReX)

John Bell MS 50A-3111 Lawrence Berkeley National Lab 1 Cyclotron Rd. Berkeley, CA 94720 510-486-5391 (ofc) 510-604-7437 (cell) 510-486-6900 (fax) |

Awarded the 2018 Director's Award for Lifetime Achievement in November 2018.

Development and analysis of numerical methods for partial differential equations arising in science and engineering. General topics in scientific computing, computational physics, and fluid dynamics.

I. Srivastava, D. R. Ladiges, A. Nonaka, A. L. Garcia, J. B. Bell,
**A Staggered Scheme for the Compressible Fluctuating Hydrodynamics of Multispecies Fluid Mixtures**,
*submitted for publication*, 2022.
[arxiv]

Roberto Porcu, Jordan Musser, Ann S. Almgren, John B. Bell, William D. Fullmer, Deepak Rangarajan,
**MFIX-Exa: CFD-DEM simulations of thermodynamics and chemical reactions in multiphase flows,**,
*hemical Engineering Science*, to appear, 2023.

A. Giuliani, A.S. Almgren, J.B. Bell, M.J. Berger, M.T. Henry de Frahan, D. Rangarajan,
**Weighted State Redistribution Algorithms for Embedded Boundary Methods**,
*Journal of Computational Physics,*, Vol 464, Sept. 2022.

D. R. Ladiges, J. G. Wang, I. Srivastava, S. P. Carney, A. Nonaka, A. L. Garcia, A. Donev and J. B. Bell,
**Modeling Electrokinetic Flows with the Discrete Ion Stochastic Continuum Overdamped Solvent Algorithm**,
*Physical Review E*, **106**, 035104, 2022.
[doi]

Jon Rood, Marc Henry de Frahan, Marc Day, Hariswaran Sitaraman, Shashank Yellapantula,
Bruce Perry, Ray Grout, Ann Almgren, Weiqun Zhang, John B. Bell, Jacqueline Chen,
**PeleC: An Adaptive Mesh Refinement Solver for Compressible Reacting Flows**,
*International Journal of High Performance Computing Applications*, 2022.
[doi]

V. Gulizzi, A. S. Almgren, John B. Bell
**"A coupled discontinuous Galerkin-Finite Volume framework for solving gas dynamics over embedded geometries"**,
*J. Comp. Phys.*, 450, 2022.
[arxiv]

John Bell, Andrew Nonaka, Alejandro L. Garcia, Gregory Eyink,
**Thermal Fluctuations in the Dissipation Range of Homogeneous
Isotropic Turbulence,**
*submitted for publication*, 2021.
[arXiv]

Weiqun Zhang, Andrew Myers, Kevin Gott, Ann Almgren and John Bell,
**AMReX: Block-Structured Adaptive Mesh Refinement for Multiphysics Applications**,
*International Journal of High Performance Computing Applications*,
June 12, 2021.
[IJHPCA]
[doi]

J-L Vay, Ann Almgren, LD Amorim, John Bell, L Fedeli, L Ge, K Gott, DP Grote, M Hogan,
A Huebl, R Jambunathan, R Lehe, A Myers, C Ng, M Rowan, O Shapoval,
M Thevenet, H Vincenti, E Yang, N Zaim, W Zhang, Y Zhao and E Zoni
**Modeling of a chain of three plasma accelerator stages with the
WarpX electromagnetic PIC code on GPUs**,
*Physics of Plasmas*, **28**(2), 2021.
[doi]

D. R. Ladiges, S. P. Carney, A. Nonaka, K. Kymko, G. C. Moore, A. L. Garcia, S. R. Natesh, A. Donev and J. B. Bell,
**A Discrete Ion Stochastic Continuum Overdamped Solvent Algorithm for Modeling Electrolytes**,
*Phys. Rev. Fluids*, 6(4), 2021.
[arxiv]

Jordan Musser, Ann S Almgren, William D Fullmer, Oscar Antepara, John B Bell,
Johannes Blaschke,Kevin Gott, Andrew Myers, Roberto Porcu, Deepak Rangarajan,
Michele Rosso, Weiqun Zhang, and Madhava Syamlal,
**MFIX:Exa: A Path Towards Exascale CFD-DEM Simulations**,
*International Journal of High Performance Computing Applications*,
April 16, 2021.

Luigi Delle Site, Matej Praprotnik, John B. Bell and Rupert Klein,
**Particle-Continuum Coupling and its Scaling Regimes: Theory and Applications**,
*Advanced Theory and Simulations*, Vol. 3, No. 5, 1900232, 2020.
[doi]

Ann Almgren, Maria Barrios Sazo, John Bell, Alice Harpole, Max Katz,
Jean Sexton, Donald Willcox, Weiqun Zhang, and Michael Zingale,
**CASTRO: A Massively Parallel Compressible Astrophysics Simulation Code**,
*Journal of Open Source Software*, 5, 54, 2513, 2020

J-L Vay, Ann Almgren, LD Amorim, John Bell, L Ge, K Gott, DP Grote, M Hogan,
A Huebl, R Jambunathan, R Lehe, A Myers, C Ng, J Park, M Rowan, O Shapoval,
M Thevenet, W Zhang, Y Zhao, and E Zoni
**Toward the modeling of chains of plasma accelerator stages with WarpX**,
*Journal of Physics: Conference Series*, 1596, 1, 012059, 2020

Andrew Myers, Ann Almgren, Diana Almorim, John Bell, Luca Fedeli, Lixin Ge, Kevin Gott, David Grote, Mark Hogan,
Axel Huebl, Revathi Jambunathan, Remi Lehe, Cho Ng, Michael Rowan, Olga Shapoval, Maxence Thevenet, Jean-Luc Vay,
Henri Vincenti, Eloise Yang, Neil Zaim, Weiqun Zhang, Yin Zhao, Edoardo Zoni,
**Porting WarpX to GPU-accelerated platforms**,
*submitted for publication*, 2020.

D. Dalakoti, A. Wehrfritz, B. Savard, M. Day, J. Bell, and E. Hawkes,
**An a priori evaluation of a principal component and artificial neural network based combustion model in diesel engine conditions**,
*in press, Proc. Combust. Inst.*, 2020.

D. Dalakoti, B. Savard, E. R. Hawkes, A. Wehrfritz, H. Wang, M. Day, and J. Bell,
**Direct numerical simulation of a spatially developing n-dodecane jet flame under spray a thermochemical
conditions: Flame structure and stabilisation mechanism**,
*Combust. Flame*, 217:57-76, 2020.

K. Klymko, S. P. Carney, A. Nonaka, A. L. Garcia, and J. B. Bell,
**A Low Mach Number Fluctuating Hydrodynamics Model For Ionic Liquids**,
*Phys. Rev. Fluids*, 5, 9, 2020.
[arxiv]

F. Alexander, A. Almgren, J. Bell, A. Bhattacharjee, J. Chen, P. Colella, D. Daniel,
J. DeSlippe, L. Diachin, E. Draeger, A. Dubey, T. Dunning, T. Evans, I. Foster,
M. Francois, T. Germann, M. Gordon, S. Habib, M. Halappanavar, S. Hamilton, W. Hart,
Z. Huang, A. Hungerford, D. Kasen, P. Kent, T. Kolev, D. Kothe, A. Kronfeld, Y. Luo,
P. Mackenzie, D. McCallen, B. Messer, S. Mniszewski, C. Oehmen, A. Perazzo, D. Perez,
D. Richard, W. Rider, R. Rieben, K. Roche, A. Siegel, M. Sprague, C. Steefel, R. Stevens,
M. Syamlal, M. Taylor, J. Turner, J.-L. Vay, A. Voter, T. Windus and K. Yelick,
**"Exascale applications: skin in the game"**,
*Phil. Trans. R. Soc. A*, 2020.
[doi].

Leen Alawieh, Jonathan Goodman, John B. Bell,
**Iterative construction of Gaussian process surrogate models for Bayesian inference,**
* Journal of Statistical Planning and Inference*, **207**, July 2020.
[doi]

M. Zingale, M. P. Katz, J. B. Bell, M. L. Minion, A. J. Nonaka, W. Zhang,
**Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections, **
*Astrophysical Journal*, **886**, 2, 2019
[arxiv]

L. Esclapez, V. Ricchiuti, J. B. Bell, and M. S. Day,
**"A spectral deferred correction strategy for low Mach number flows subject to electric fields"**
*Combustion Theory and Modelling*, 2019,
[doi],
[ArXiV].

Deepak K. Dalakoti, Alex Krisman, Bruno Savard, Armin Wehrfritz, Haiou Wang, Marc S. Day, John B. Bell, and Evatt R Hawkes
**"Structure and propagation of two-dimensional, partially premixed, laminar flames in diesel engine conditions,"**
*Proc. Combust. Inst* 37 (2) 2018. [doi]

W. Zhang, A. Almgren, V. Beckner, J. Bell, J. Blaschke, C Chan, M. Day, B. Friesen, K. Gott, D. Graves,
M. Katz, A. Myers T. Nguyen, A. Nonaka, M. Rosso, S. Williams and M. Zingale,
**AMReX: a framework for block-structured adaptive mesh refinement, **
*Journal of Open Source Software*, **4(37)**, 1370, 2019.
[doi]

D. R. Ladiges, A. J. Nonaka, J. B. Bell, A. L. Garcia,
**"On the Suppression and Distortion of Non-Equilibrium Fluctuations by Transpiration,"**
*accepted for publication in Phys. Fluids,* 2019.
[link]

M. Zingale, K. Eiden, Y. Cavecchi, A. Harpole, J. B. Bell, M. Chang, I. Hawke, M. P. Katz, C.M. Malone, A. J. Nonaka, D. E. Willcox, and W. Zhang,
**"Toward resolved simulations of burning fronts in thermonuclear X-ray bursts,"**
*submitted for publication*
[arxiv]

A. Donev, A. J. Nonaka, C. Kim, A. L. Garcia and J. B. Bell,
**"Fluctuating hydrodynamics of electrolytes at electroneutral scales,"**
*Phys. Rev. Fluids.* 4, 4, 2019.
[link]

A. J. Aspden, M. S. Day and J. B. Bell,
**"Towards the Distributed Burning Regime in Turbulent Premixed Flames,"**
*Journal of Fluid Mechanics*, 871, pp. 1-21, 2019.
[arxiv]

A. Donev, A. L. Garcia, J. Peraud, A. Nonaka, J. B. Bell,
**"Fluctuating hydrodynamics and Debye-Hückel-Onsager theory for electrolytes,"**
*Current Opinion in Electrochemistry,* 13, 2019.
[link]

J. Bell, M. Day, J. Goodman, R. Grout and M. Morzfeld,
**"A Bayesian approach to calibrating hydrogen flame kinetics using many experiments and parameters,"**
*Combustion and Flame*, 205, pp. 305-315, 2019.
[arxiv]

M. Emmett, E. Motheau, W. Zhang, M. Minion and J. B. Bell,
**"A Fourth-Order Adaptive Mesh Refinement Algorithm for the Multicomponent, Reacting Compressible Navier-Stokes Equations,"**
*submitted for publication*.
[arxiv]

Jon Rood, Marc Henry de Frahan, Marc Day, Hariswaran Sitaraman, Shashank Yellapantula,
Bruce Perry, Ray Grout, Ann Almgren, Weiqun Zhang, John B. Bell, Jacqueline Chen,
**PeleC: An Adaptive Mesh Refinement Solver for Compressible Reacting Flows**,
*International Journal of High Performance Computing Applications*, 2022.
[doi]

C. Kim, A. Nonaka, J.B. Bell, A.L. Garcia, and A. Donev,
**"Fluctuating hydrodynamics of reactive liquid mixtures,"**
*J. Chem. Phys.* **149**, 084113, 2018.
[doi]
[arxiv]

C. Kim, A. Nonaka, J.B. Bell, A.L. Garcia, and A. Donev,
**"Fluctuating hydrodynamics of reactive liquid mixtures,"**
*to appear in J. Chem. Phys.*
[arxiv]

J.-L. Vay, A. Almgren, J. Bell, L. Ge, D. P. Grote, M. Hogan, O. Kononenko, R. Lehe, A. Myers, C. Ng, J. Park, R. Ryne, O. Shapoval, M. Thevenet, W. Zhang
**"Warp-X: a new exascale computing platform for beam-plasma simulations,"**
*Nuclear Instruments and Methods in Physics Research Section A:
Accelerators, Spectrometers, Detectors and Associated
Equipment*,
in press, 2018
[arxiv]

Deepak K. Dalakoti, Alex Krisman, Bruno Savard, Armin Wehrfritz, Haiou Wang, Marc S. Day, John B. Bell, and Evatt R Hawkes
**"Structure and propagation of two-dimensional, partially premixed, laminar flames in diesel engine conditions,"**
*to appear Proc. Combust. Inst*.

E. Motheau, M. Duarte, A. Almgren, J. Bell,
**"A Hybrid Adaptive Low-Mach-Number/Compressible Method: Euler Equations,"**
*Journal of Computational Physics,* Volume 372, Pages 1027-1047, 2018.
[pdf].

M. Morzfeld, M. Day, R. Grout, G. S. H. Pau, S. Finsterle, J. Bell,
**"Iterative importance sampling algorithms for parameter estimation problems,"**
*SIAM J. Scientific Computing* **40** (2) B329-B352, 2018.
[arxiv]

A. Nonaka, M. S. Day, and J. B. Bell,
**"A conservative, thermodynamically consistent numerical approach for low Mach number combustion. I. Single-level integration,"**
*Combust. Theor. Model.,* vol. 22, no. 1, pp. 156-184, 2018.
[link]

M. Zingale, A. S. Almgren, M. G. Barrios Sazo, V. E. Beckner, J. B. Bell, B. Friesen,
A. M. Jacobs, M. P. Katz, C. M. Malone, A. J. Nonaka, D. E. Willcox, and W. Zhang,
**"Meeting the Challenges of Modeling Astrophysical
Thermonuclear Explosions: Castro, Maestro, and the
AMReX Astrophysics Suite"**, *to appear*.
[arxiv]

J-P. Péraud, A. Nonaka, J. B. Bell, A. Donev, and A. L. Garcia,
**"Fluctuation-enhanced electric conductivity in electrolyte solutions"**,
*P. Natl. Acad. Sci. USA,* **114**, 41, 2017.
[link]

Emmanuel Motheau, Ann Almgren, John Bell,
**"Navier-Stokes Characteristic Boundary Conditions Using Ghost Cells,"**
*AIAA J.*, Vol. 55, No. 10 : pp. 3399-3408, 2017
[doi]

C. Kim, A. Nonaka, J. B. Bell, A. L. Garcia, and A. Donev,
**"Stochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach,"**
*J. Chem. Phys.* **146**, 12, 2017.
[link]

D. Dalakoti, E. Hawkes, M. Day and J. Bell,
**"Direct numerical simulation of two-stage combustion and flame stabilization in diesel engine-relevant conditions"**
*26th ICDERS*, 2017.

R.W.Grout, H. Kolla, M.L. Minion and J.B. Bell,
**"Achieving algorithmic resilience for temporal integration through spectral deferred corrections,"**
*Commun. in Appl. Math. and Comput. Sci*, 12(1), pp 25-50, 2017.
[arxiv].

A. J. Aspden, J. B. Bell, M. S. Day and F. N. Egolfopoulos,
**"Turbulence-Flame Interactions in Lean Premixed Dodecane Flames,"**
*Proc. Combust. Inst.*, **36**(2), pp. 2005-2016, 2017.
[doi]

J. Peraud, A. Nonaka, A. Chaudhri, J. B. Bell, A. Donev, and A. L. Garcia,
**"Low Mach Number Fluctuating Hydrodynamics for Electrolytes,"**
*Phys. Rev. Fluids,* **1**, 074103, 2016.
[link]

W. Pazner, A. Nonaka, J. B. Bell, M. S. Day, and M. L. Minion,
**"A High-Order Spectral Deferred Correction Strategy for Low Mach Number Flow With Complex Chemistry,"**
*Combust. Theor. Model.,* vol. 20, no. 3, pp. 521-547, 2016.
[link]

A. J. Aspden, M. S. Day and J. B. Bell,
**"Three-Dimensional Direct Numerical Simulation of Turbulent
Lean Premixed Methane Combustion with Detailed Kinetics,"**
*in press, Combustion and Flame*, 2016.

A.M. Jacobs, M. Zingale, A. Nonaka, A.S. Almgren, J.B. Bell,
**"Low Mach Number Modeling of Convection in Helium Shells on Sub-Chandrasekhar
White Dwarfs II: Bulk Properties of Simple Models,"**
*Astrophysical Journal*, **827**, 84, 2016.
[iop].

A. Amato, M. Day, R. K. Cheng, J. Bell, D. Dasgupta, T. Lieuwen,
**"Topology and Burning Rates of Turbulent, Lean, H2-Air Flames",**
*Combustion and Flame* **162**, 4553-4565, 2015
[DOI].

A. Nonaka, Y. Sun, J. B. Bell, and A. Donev,
**"Low Mach Number Fluctuating Hydrodynamics of Binary Liquid Mixtures,"**
*Comm. App. Math. and Comp. Sci.*, vol. 10, no. 2, 2015.
[pdf].

M. Zingale, A. Jacobs, A. Almgren, J. Bell, A. Nonaka, C. Malone, S. Woosley
**"Understanding Ignition in Type Ia Supernovae"**,
*25rd International Colloquium on the Dynamics of Explosions and Reactive Systems, Leeds, UK,
*August 2-7, 2015.

A. K. Bhattacharjee, K. Balakrishnan, A. L. Garcia, J. B. Bell, and A. Donev,
**"Fluctuating hydrodynamics of multispecies reactive mixtures,"**
*J. Chem. Phys.*, **142**, 224107, 2015
[arxiv].

A. Donev, A. Nonaka, A. K. Bhattacharjee, A. L. Garcia, and J. B. Bell,
**"Low Mach Number Fluctuating Hydrodynamics of Multispecies Liquid Mixtures"**,
*Phys. Fluids*, 27, 3, 2015
[arxiv].

M. Day, S. Tachibana, J. Bell, M. Lijewski, V. Beckner and R. Cheng,
**"A combined computational and experimental characterization of
lean premixed turbulent low swirl laboratory flames. II. Hydrogen flames."**,
*Combustion and Flame*, to appear.

M. Zingale, C. M. Malone, A. Nonaka, A. S. Almgren, and J. B. Bell,
**"Comparisons of Two- and Three-Dimensional Convection in Type I X-ray Bursts,"**
*Astrophysical Journal*, **807**, 60, 2015
[arxiv].

Max Duarte, Ann S. Almgren, and John B. Bell,
**"A Low Mach Number Model for Moist Atmospheric Flows,"**
*, Journal of the Atmospheric Sciences*, **72**(4), pp. 1605-1620, 2015
[arxiv].

Didem Unat, Cy Chan, Weiqun Zhang, Samuel Williams, John Bachan, John Bell, and John Shalf
**"ExaSAT: An Exascale Co-Design Tool for Performance Modeling,"**
*International Journal of High Performance Computing Applications (IJHPCA)*,
February 2015, doi: 10.1177/1094342014568690

A. Amato, M. Day, R. K. Cheng, J. Bell, T. Lieuwen,
**"Leading Edge Statistics of Turbulent, Lean, H2-Air Flames,"**
*Proc. Combust. Inst.* **35** (2014) pp. 1313-1320.
[PCI].

M. Cai, A. Nonaka, B. E. Griffith, J. B. Bell, and A. Donev,
**"Efficient Variable-Coefficient Finite-Volume Stokes Solvers"**,
*Commun. Comput. Phys.*, 16, 1263-1297, 2014.
[link]

A. J. Aspden, M. S. Day and J. B. Bell,
**"Turbulence-Chemistry Interaction in Lean Premixed Hydrogen Combustion,"**
*Proceedings of the Combustion Institute*, to appear, 2014.
[pdf]

Anuj Chaudhri, John Bell, Alejandro Garcia and Aleksandar Donev
**"Modeling Multi-Phase Flow using Fluctuating Hydrodynamics",**
*Phys. Rev. E*, 90(3), 033014, 2014.
[arxiv].

Ann Almgren, John Bell, Andy Nonaka and Michael Zingale,
**"Low Mach Number Modeling of Stratified Flows,"**
*Finite Volumes for Complex Applications VII -- Methods and Theoretical
Aspects*, Springer Proceedings in Mathematics and Statistics,
eds. J. Fuhrmann, M. Ohlberger, C. Rohde, Berlin, June 2014.
[link]

M. Emmett, W. Zhang, J.B. Bell,
**"High-Order Algorithms for Compressible Reacting Flow with Complex Chemistry",**
*Combustion Theory and Modelling*, pp. 361-387, May 2014
[doi]
[arxiv].

A. Dubey, A. Almgren, J. Bell, M. Berzins, S. Brandt, G. Bryan, P. Colella,
D. Graves, M. Lijewski, F. Loffler, B. O'Shea, E. Schnetter, B. Van Straalen, K. Weide
**"A Survey of High Level Frameworks in Block-Structured Adaptive Mesh Refinement Packages"**,
*Journal of Parallel and Distributed Computing*, **74**, pp. 3217-3227, 2014
[arxiv]
[doi].

A. Donev, A. Nonaka, Y. Sun, T. Fai, A. Garcia and J. Bell,
**"Low Mach Number Fluctuating Hydrodynamics of Diffusively Mixing Fluids"**
*Comm. App. Math. and Comp. Sci.*, vol. 9, no. 1, 2014.
[pdf].

C. M. Malone, M. Zingale, A. Nonaka, A. S. Almgren, and J. B. Bell,
**"Multidimensional Modeling of Type I X-ray Bursts. II. Two-Dimensional
Convection in a Mixed H/He Accretor"**,
*Astrophysical Journal*, **788**, 115, 2014.
[arxiv]

K. Balakrishnan, A. Garcia, A. Donev, and J. Bell,
**"Fluctuating hydrodynamics of multispecies nonreactive mixtures"**
*Physical Review E*, vol. 89, No. 1, January 2014.
[pdf]

Max Duarte, Ann S. Almgren, Kaushik Balakrishnan, John B. Bell, David M. Romps,
**"A Numerical Study of Methods for Moist Atmospheric Flows: Compressible Equations,"**
*Monthly Weather Review*, **142**, pp. 4269--4283, 2014
[arxiv].

W. Schmidt, A.S. Almgren, H. Braun, J.F. Engels, J.C. Niemeyer,
R.R. Mekuria, A.J. Aspden, J.B. Bell,
**"Cosmological Fluid Mechanics with Adaptively Refined Large Eddy Simulations,"**
*Monthly Notices of the Royal Astronomical Society*, **440**, pp. 3051-3077, 2014.
[arxiv]

Christopher Malone, A. Nonaka, S. Woosley, A. Almgren, J. Bell, S. Dong
and M. Zingale,
**"The Deflagration Stage of Chandrasekhar Mass Models for Type Ia Supernovae:
I. Early Evolution"**, *Astrophysical Journal*, **782**, 11, 2014.
[iop]

C. Chan, D. Unat, M. Lijewski, J. Bell, and J. Shalf,
**"Software Design Space Exploration for Exascale Combustion Co-design"**,
*International Supercomputing Conference 2013, Lecture Notes in Computer Science*,
**7905**, 196-212, 2013.

C. Gilet, A. S. Almgren, J. B. Bell, A. Nonaka, S. E. Woosley, M. Zingale,
**"Low-Mach Number Modeling of Core Convection in Massive Stars"**,
*Astrophysical Journal*, **773**, 137, 2013.
[pdf]

Haitao Ma, Stan Woosley, Chris Malone, Ann Almgren, and J.B. Bell,
**"Carbon Deflagration in Type Ia Supernovae: I. Centrally Ignited Models"**,
*Astrophysical Journal*, **771**, 58, 2013.

M. Zingale, A. Nonaka, A. S. Almgren, J. B. Bell, C. Malone, and R. Orvedahl,
**"Low Mach Number Modeling of Convection in Helium Shells on Sub-Chandrasekhar
White Dwarfs. I. Methodology"**, *Astrophysical Journal*, **764**, 97, 2013.
[pdf]

Weiqun Zhang, L. Howell, A. Almgren, A. Burrows, J. Dolence, J. Bell,
**"CASTRO: A New Compressible Astrophysical Solver. III.
Multigroup Radiation Hydrodynamics"**, *Astrophysical Journal Supplement Series*,
**204**, 7, 2013.
[pdf]

A.S. Almgren, A.J. Aspden, J. B. Bell, and M. L. Minion,
**"On the Use of Higher-Order Projection Methods for Incompressible Turbulent Flow"**,
*SIAM J. Sci. Comput.*, **35**, 1, B25-B42, 2013.
[pdf]

A. S. Almgren, J. B. Bell, M.J. Lijewski, Z. Lukic, E. Van Andel,
**"Nyx: A Massively Parallel AMR Code for Computational Cosmology"**
*Astrophysical Journal*, **765**, 39, 2013.

A. Nonaka, J. B. Bell, M. S. Day, C. Gilet, A. S. Almgren, and M. L. Minion,
**"A Deferred Correction Coupling Strategy for Low Mach Number Flow with Complex Chemistry"**,
*Combustion Theory and Modelling*, vol. 16, no. 6, pp. 1053-1088, 2012.
[pdf]

K. Balakrishnan, J.B. Bell, A. Donev, and A. Garcia,
**"Fluctuating Hydrodynamics and Direct Simulation Monte Carlo"**,
*28th International Symposium on Rarefied Gas Dynamics *, AIP Conf. Proc. **1501 **, 695-704, 2012.
[pdf]

J. B. Bell, M. S. Day and M. J. Lijewski,
**"Simulation of Nitrogen Emissions in a Premixed Hydrogen Flame
Stabilized on a Low Swirl Burner"**,
*Proceeding of the Combustion Institute*, 2012.
[pdf]

G. S. H. Pau, J. B. Bell, A. S. Almgren, K. M. Fagnan and M. J. Lijewski,
**"An Adaptive Mesh Refinement Algorithm for Compressible Two-Phase Flow In Porous Media"**,
*Computational Geosciences*, **16**, 577-592, 2012.
[pdf]

A. Nonaka, A. J. Aspden, M. Zingale, A. S. Almgren, J. B. Bell, and S. E. Woosley,
**"High-Resolution Simulations of Convection Preceding Ignition in Type Ia
Supernovae Using Adaptive Mesh Refinement"**,
*Astrophysical Journal*, **745**, 73, 2012.
[pdf]

F. Balboa Usabiaga, J. Bell, R. Delgado-Buscalioni, A. Donev, T. Fai, B. Griffith, C. Peskin,
**"Staggered Schemes for Fluctuating Hydodynamics"**,
*Multiscale Modeling and Simulation*, **10**, 4, 1369-1408, 2012.
[pdf]

A. J. Aspden, M. S. Day, and J. B. Bell,
**"Turbulence-flame interactions in lean premixed hydrogen: transition to the distributed burning regime"**,
*Journal of Fluid Mechanics*, **680**, 287-320, 2011.
doi:10.1017/jfm.2011.164.
[JFM]
[pdf]

A. Nonaka, A. S. Almgren, J. B. Bell, H. Ma, S. E. Woosley, and M. Zingale,
**"From Convection to Explosion: End-to-End Simulation of Type Ia Supernovae,"**
*Proceedings of SciDAC 2011*, Denver, CO, July 2011.
[pdf]

W. Zhang, L. Howell, A. Almgren, A. Burrows, and J. Bell
**"CASTRO: A New Compressible Astrophysical Solver. II. Gray Radiation Hydrodynamics"**,
*Astrophysical Journal Supplement Series, 1962, 20, 2011.*
[pdf]

A. Donev, A. de la Fuente, J. B. Bell, and A. L. Garcia,
**"Enhancement of Diffusive Transport by Nonequilibrium Thermal Fluctuations"**,
*JSTAT*, Vol. 2011, P06014, 2011.
[pdf]

A. Donev, A. de la Fuente, J. B. Bell, and A. L. Garcia,
**"Diffusive Transport by Thermal Velocity Fluctuations"**,
*Phys. Rev. Lett.*, Vol. 106, No. 20, page 204501, 2011.
[pdf]

M. Day, S. Tachibana, J. Bell, M. Lijewski, V. Beckner and R. Cheng,
**"A combined computational and experimental characterization of
lean premixed turbulent low swirl laboratory flames. I. Methane flames."**,
*Combustion and Flame*, **159**(1) 275-290 (2012)
[pdf]

M. Zingale, A. Nonaka, A. S. Almgren, J. B. Bell, C. M. Malone, and S. E. Woosley,
**"The Convective Phase Preceding Type Ia Supernovae"**,
*Astrophysical Journal*, **740**, 8, (2011).
[pdf]

A. Garcia, A. Donev, J.B. Bell, and B. Alder,
**"Hydrodynamic fluctuations in a particle-continuum hybrid for complex fluids"**,
*27th International Symposium on Rarefied Gas Dynamics *, AIP Conf. Proc. **1333 **, 551-556, 2011.
[pdf]

A. Nonaka, S. May, A. S. Almgren, and J. B. Bell,
**"A Three-Dimensional, Unsplit Godunov Method for Scalar Conservation Laws"**,
*SIAM J. Sci. Comput.*, vol. 33, no. 4, 2011.
[pdf]

S. May, A. Nonaka, A. S. Almgren, and J. B. Bell,
**"An Unsplit, Higher-Order Godunov Method Using Quadratic
Reconstruction for Advection in Two Dimensions"**,
* Comm. App. Math. and Comp. Sci.*, vol. 6, no. 1, 2011.
[pdf]

C. M. Malone, A. Nonaka, A. S. Almgren, J. B. Bell, and M. Zingale,
**"Multidimensional Modeling of Type I X-ray Bursts. I. Two-Dimensional
Convection Prior to the Outburst of a pure ^{4}He Accretor"**,

G.H. Weber, P.-T. Bremer, M.S. Day, J.B. Bell and V. Pascucci,
**"Feature Tracking Using Reeb graphs"**,
*Topological Methods in Data Analysis and Visualization:
Theory, Algorithms, and Applications,*
edited by V. Pascucci, X. Tricoche, H. Hagen, and J. Tierny,
Springer-Verlag, pp. 241-253, LBNL 4226E, 2011.

P.-T. Bremer, G.H. Weber, J. Tierny, V. Pascucci, M.S. Day and J.B. Bell,
**"Interactive Exploration and Analysis of Large Scale Turbulent Combustion
Using Topology-based Data Segmentation"**,
*IEEE Transactions on Visualization and Computer Graphics,*,
**17**(9), pp. 1307-1324, LBNL 5921E, doi: 10.1109/TVCG.2010.253, 2011.

J. Nordhaus, A. Burrows, A. Almgren, and J. Bell,
**"Dimension as a Key to the Neutrino Mechanism of Core-Collapse Supernova Explosions,"**
*Astrophysical Journal*, **720**, 694, Sept. 2010.
[arxiv].

A. Almgren, J. Bell,
D. Kasen, M. Lijewski, A. Nonaka, P. Nugent, C. Rendleman, R. Thomas, and M. Zingale,
**"MAESTRO, CASTRO and SEDONA -- Petascale Codes for Astrophysical Applications,"**
*Proceedings of SciDAC 2010*,
Chattanooga, Tennessee, July 2010. [arxiv]

H. Ma, M. Zingale, S. E. Woosley, A. J. Aspden, J. B. Bell, A. S. Almgren, A. Nonaka, and S. Dong,
**"Type Ia Supernovae: Advances in Large Scale Simulation,"**
*Proceedings of SciDAC 2010*,
Chattanooga, Tennessee, July 2010.

J. Bell, M. S. Day, X. Gao, M. J. Lijewski,
**"Simulation of Nitrogen Emissions in a Low Swirl Burner,"**
*Proceedings of SciDAC 2010*,
Chattanooga, Tennessee, July 2010. [pdf]

A. Nonaka, A.S. Almgren, J. B. Bell, M. J. Lijewski, C. M. Malone, and M. Zingale,
**"MAESTRO: An Adaptive Low Mach Number Hydrodynamics Algorithm for Stellar Flows"**,
*Astrophysical Journal Supplement Series*, **188**, 358-383, June 2010.
[pdf]

A. S. Almgren, V.E. Beckner, J.B. Bell, M.S. Day, L.H. Howell, C.C. Joggerst, M.J.
Lijewski, A. Nonaka, M. Singer, M. Zingale, **"CASTRO: A New
Compressible Astrophysical Solver. I. Hydrodynamics and Self-Gravity"**,
*Astrophysical Journal*, **715** 1221-1238, June 2010.
[pdf]

A. Donev, J. B. Bell, A. L. Garcia, and B. J. Alder, "A hybrid particle-continuum method for
hydrodynamics of complex fluids", *SIAM J.
Multiscale Modeling and Simulation*, 8(3):871-911, 2010. [pdf]

G. S. H. Pau, J. B. Bell, K. Pruess, A. S. Almgren, M.
J. Lijewski, K. Zhang, **"High resolution simulation and
characterization of density-driven flow in CO2 storage in saline
aquifers''**, *Advances in Water
Resources *, 33(4):443-455, 2010. [pdf]

A. J. Aspden, M. S. Day, and J. B. Bell,
**"Characterization of Low Lewis Number Flames"**,
*accepted for publication in the Proceedings of the Combustion Institute*.
[pdf]

A. J. Aspden, M. S. Day, and J. B. Bell,
**"Lewis Number Effects in Distributed Flames"**,
*accepted for publication in the Proceedings of the Combustion Institute*.
[pdf]

M.S. Day, J.B. Bell, X. Gao and P. Glarborg,
**"Numerical Simulation of Nitrogen Oxide Formation in Lean Premixed Turbulent Flames"**,
*Proc. Combust. Inst.* 33 (2011) p. 1591-1599.
[pdf]

M. S. Day, X. Gao, and J. B. Bell, **"Properties of Lean Turbulent Methane-Air
Flames with Significant Hydrogen Addition"**,
*Proc. Combust. Inst.* 33 (2011) p. 1601-1608.
[pdf]

A. Donev, E. Vanden-Eijnden, A. Garcia, and J. Bell, **``On the Accuracy of
Explicit Finite-Volume Schemes for Fluctuating Hydrodynamics,''** Communications in Applied Mathematics and
Computational Science, 5(2):149-197,
2010. [pdf]

C. C.
Joggerst, A. Almgren, J. Bell, Alexander Heger, Daniel Whalen, and S.
E. Woosley, **"Primordial Core-Collapse Supernovae and the Chemical
Abundances of Metal-Poor Stars,"** *Astrophysical Journal*, **709**,
11-26, January 2010.

M.
Zingale, A. S. Almgren, J. B. Bell, A. Nonaka, and S. E. Woosley, **"Low
Mach Number Modeling of Type Ia Supernovae. IV. White Dwarf
Convection"**, *Astrophysical Journal*, **704**, 196-210,
2009. [pdf]

G.
S. H. Pau, J. B. Bell, K. Pruess, A. S. Almgren, M. J.
Lijewski, K. Zhang, **"Numerical studies of density-driven flow in
CO2 storage in saline aquifers"**, Proceedings of TOUGH Symposium,
September 14-16 2009, Berkeley, California, USA. [pdf]

G.
S. H. Pau, A. S. Almgren, J. B. Bell, M. J. Lijewski, E.
Sonnenthal, N. Spycher, T. Xu, G. Zhang, **"A Parallel
Second-Order Adaptive Mesh Algorithm for Reactive Flow in Geochemical
Systems"**, Proceedings of TOUGH Symposium, September 14-16 2009,
Berkeley, California, USA. [pdf]

G. S. H.
Pau, A. S. Almgren, J. B. Bell, and M. J. Lijewski, **"A Parallel
Second-Order Adaptive Mesh Algorithm for Incompressible Flow in Porous
Media"**, *Phil. Trans. R. Soc. A* 367, 4633-4654, 2009. LBNL
Report
LBNL-176E. [pdf]

S.E.
Woosley, A.S. Almgren, A.J. Aspden, J.B. Bell, D. Kasen, A.R. Kerstein,
H. Ma, A. Nonaka and M. Zingale, **"Type Ia Supernovae: Advances in
Large Scale Simulation "**, *SciDAC 2009*, J. of Physics:
Conference Series, **180**, July 2009. [pdf]

A. S.
Almgren, J. B. Bell, A. Nonaka, M. Zingale, **"A New Low Mach Number
Approach in Astrophysics"**, *Computing in Science and Engineering*,
vol. 11, no. 2, pp. 24-33, March/April 2009.
[CiSE]

S. E. Woosley, D. Kasen, H. Ma, G. Glatzmaier, A. J.
Aspden, J. B. Bell, M. S. Day, A. R. Kerstein, V. Sankaran, F. Ropke, **"Type
Ia Supernovae"**, Proceedings of Science, 10th Symposium on Nuclei in
the Cosmos, July 27 - August 1 2008, Mackinac Island, Michigan, USA. [pdf]

M. Zingale, A. S. Almgren, J. B. Bell, C. M. Malone
and A. Nonaka, **"Astrophysical Applications of the MAESTRO Code"**,
*SciDAC 2008*, J. of Physics: Conference Series, **125**,
Seattle Washington, July 2008. [pdf]

J. B. Bell, R. K. Cheng, M. S. Day, V. E. Beckner, M.
J. Lijewski, **"Interaction of Turblence and Chemistry in a Low Swirl
Burner"**, *SciDAC 2008*, J. of Physics: Conference Series,
Seattle Washington, July 2008. [pdf]

S. E. Woosley, A. J. Aspden, J. B. Bell, A. R.
Kerstein, and V. Sankaran, **"Numerical simulation of low Mach number
reacting flows"**, *SciDAC 2008*, J. of Physics: Conference
Series, **125**, Seattle Washington, July 2008. [pdf]

A. S. Almgren, J. B. Bell, A. Nonaka, and M. Zingale, **"Low
Mach Number Modeling of Type Ia Supernovae. III. Reactions"**, *Astrophysical
Journal*, **684**, 449-470, 2008. [pdf]

M. Day, J. Bell, P.-T. Bremer, V. Pascucci, V.
Beckner, M. Lijewski, **"Turbulence effects on cellular burning
structures in lean premixed hydrogen flames"**, *Combustion and
Flame***156** 1035-1045 (2009). DOI
10.1016/j.combustflame.2008.10.029

J. B. Bell, A. L. Garcia, S. A. Williams, **"Computational
fluctuating fluid dynamicss"**, *to appear in ESAIM: Mathematical
Modelling and Numerical Analysis*. [pdf]

D.E.A. van Odyck, J.B. Bell, F. Monmont, N.
Nikiforakis, **"Mathematical structure porous media flow]{The
mathematical structure of multiphase thermal models of flow in porous
media"**, *to appear in Proc. Royal Soc. A*. [pdf]

J. F. Grcar, J. B. Bell, M. S. Day, **"The Soret
Effect in Naturally Propagating, Premixed, Lean, Hydrogen-Air Flames"**,
LBNL Report LBNL-669E, *Proc. Combust. Inst.,* **32** pp.
1173-1180. [pdf]

A. J. Aspden, J. B. Bell, M. S. Day, S. E. Woosley, M.
Zingale, **"Turbulence-Flame Interactions in Type Ia Supernovae"**,
*Astrophysical Journal*, **689**, pp.1173-1185,
December 20, 2008. [pdf]

S. A. Williams, J. B. Bell, and A. L. Garcia, **"Algorithm
refinement for fluctuating hydrodynamics"**, *Multiscale Model.
Simul.* 6, 1256-1280, 2008. [pdf]

A. J. Aspden, N. Nikiforakis, S. B. Dalziel, and
J.B.Bell, **"Analysis of Implicit LES Methods"**,
*Communications in Applied Mathematics and Computational Science*, **3**,
pp.103-126, 2008. [CAMCoS]

A.S. Almgren, J.B. Bell, and M. Zingale, **"MAESTRO:
A Low Mach Number Stellar Hydrodynamics Code "**, *SciDAC 2007*,
J. of Physics: Conference Series, Boston, Massachusetts, July 2007.

J. Bell, A. Aspden, M. Day, M. Lijewski, **"Numerical
simulation of low Mach number reacting flows"**, *SciDAC 2007*,
J. of Physics: Conference Series, Boston, Massachusetts, July 2007.
LBNL Report No. LBNL-63088.

S.E. Woosley, A.S. Almgren, J.B. Bell, G. Glatzmaier,
D. Kasen, A.R. Kerstein, H. Ma, P. Nugent, F. Ropke, V. Sankaran and M.
Zingale, **"Type Ia Supernovae "**, *SciDAC 2007*, J. of
Physics: Conference Series, Boston, Massachusetts, July 2007.

John B. Bell, Alejandro L. Garcia and Sarah A.
Williams, **"Numerical Methods for the Stochastic Landau-Lifshitz
Navier-Stokes Equations"**, Phys. Rev. E 76, 016708, 2007. [pdf]

J. Bell, M. Day, A. Almgren, M. Lijewski, C.
Rendleman, R. Cheng, I. Shepherd, **"Simulation of Lean Premixed
Turbulent Combustion "**, *SciDAC 2006*, J. of Physics:
Conference Series, (William Tang, Ed.), Denver, Colorado, **46**,
1-15, 2006. [pdf]

M. Day and J. Bell, **"Simulation of premixed
turbulent flames"**, *SciDAC 2006*, J. of Physics: Conference
Series, (William Tang, Ed.), Denver, Colorado, **46**, 43-47, 2006.
[pdf]

A. S. Almgren, J. B. Bell, C. A. Rendleman, and M.
Zingale, **"Low Mach Number Modeling of Type Ia Supernovae. II.
Energy Evolution"**, *Astrophysical Journal*, **649**,
927-938, 2006. LBNL Report LBNL-58673 Pt. II. [pdf]

A. S. Almgren, J. B. Bell, C. A. Rendleman, and M.
Zingale, **"Low Mach Number Modeling of Type Ia Supernovae. I.
Hydrodynamics"**, *Astrophysical Journal*, **637**,
922-936, 2006. LBNL Report LBNL-58673. [pdf](revised)

M. S. Day, J. B. Bell, J. F. Grcar and M. J. Lijewski,
**"Equivalence Ratio Effects in
Turbulent, Premixed Methane-Air Flames"**, LBNL Report LBNL-59246, *in
press - Proc. ECCOMAS-CFD 2006*. [pdf]

J. B. Bell, M. S. Day, I. G. Shepherd, M. Johnson, R.
K. Cheng, J. F. Grcar, V. E. Beckner, M. J. Lijewski, **"Numerical
Simulation of a Laboratory-Scale Turbulent V-flame"**, LBNL Report
LBNL-54198-Journal, *Proc. Natl. Acad. Sci. USA*, **102**(29)
10006-10011, 2005. [pdf]

J. B. Bell, J. Foo, and A. L. Garcia, **"Algorithm
Refinement for the Stochastic Burgers' Equation"**, *J. Comp. Phys.*,
**223**, pp. 603-708, 2006. [pdf]

J. B. Bell, R. K. Cheng, M. S. Day and I. G. Shepherd,
** "Numerical Simulation of Lewis Number Effects on Lean
Premixed Turbulent
Flames"**, LBNL Report LBNL-59247, *Proc. Combust. Inst.*,**31**
1309-1317 (2007). [pdf]

J. B. Bell, M. S. Day, J. F. Grcar, and M. J.
Lijewski, **"Active Control for Statistically Stationary Turbulent
Premixed Flame Simulations"**, LBNL Report LBNL-58751, *Communications
in Applied Mathematics and Computational Science*, **1**,
29-51, 2006. [pdf]

J. B. Bell, M. S. Day, J. F. Grcar, M. J. Lijewski, J.
F. Driscoll and S. F. Filatyev, **"Numerical Simulation of a
Laboratory-Scale Turbulent Slot Flame"**, LBNL Report LBNL-59245, *Proc.
Combust. Inst.*, **31** 1299-1307 (2007). [pdf]

M. Zingale, S. E. Woosley, C.A. Rendleman, M. S. Day,
and J. B. Bell, **"Three-dimensional Numerical Simulations of
Rayleigh-Taylor Unstable Flames in Type Ia Supernovae"**, LBNL Report
LBNL-56966, accepted, *Astrophysical Journal*, 2005. [pdf]

M. S. Day, J. B. Bell, J. F. Grcar, V. E. Beckner, **"Numerical
Control of 3D Turbulent Premixed Flame Simulations"**, LBNL Report
LBNL-56882 Ext. Abs., * 20th International Colloquium
on the Dynamics of Explosions and Reactive Systems*, July 31-August 5,
2005. [pdf]

J. F. Grcar,
M. S. Day, J. B. Bell, **"A Taxonomy of Integral Reaction Path
Analysis"**, LBNL Report LBNL-56772, in press - * Combust. Theory
Modelling*, 2004. [pdf]

J. B. Bell, M. S. Day, and J. F. Grcar, M. J.
Lijewski, **"Stochastic Algorithms for the Analysis of Numerical
Flame Simulations"**, LBNL Report LBNL-49326-Journal, *J. Comp.
Phys.*, **202**, 262-280, 2004. [pdf]

J. B. Bell, **"AMR for low Mach number reacting
flows"**, LBNL Report LBNL-54351, Proceedings of the Chicago Workshop
on Adaptvie Mesh Refinement Methods, 2003. [pdf]

J. B. Bell, M. S. Day, C. A. Rendleman, S. E. Woosley,
and M. A. Zingale, **"Direct Numerical Simulations of Type Ia
Supernovae Flames II: The Rayleigh-Taylor Instability"**, LBNL Report
LBNL-54300, *Astrophysical Journal*, **608**, 883-906,
2004. [pdf]

J. F. Grcar, P. Glarborg, J. B. Bell, M. S. Day, A.
Loren, and A. D. Jenson, **"Effects of Mixing on Ammonia Oxidation in
Combustion Environments at Intermediate Temperatures"**, LBNL Report
LBNL-54187, Proceedings of the Combustion Institute, 2003. [pdf]

J. B. Bell, M. S. Day, C. A. Rendleman, S. E. Woosley,
and M. A. Zingale, **"Direct Numerical Simulations of Type Ia
Supernovae Flames I: The Landau-Darrieus Instability"**, LBNL Report
LBNL-54088, Astrophysical Journal, **606**, 1029-1038, 2004. [pdf]

J. B. Bell, M. S. Day, C. A. Rendleman, S.
E. Woosley, and M. A. Zingale, **"Adaptive low Mach number
simulations of nuclear flames"**, J. Comp. Phys, **195**,
677-694,
2004. [pdf]

J. B. Bell, M.
S. Day, A. S. Almgren, R. K. Cheng and I. G. Shepherd, **"Numerical
Simulation of Premixed Turbulent Methane
Combustion"**, Proceedings of the Second MIT Conference on
Computational Fluid and Solid Mechanics, June 17-20, 2003. [pdf]

J. B. Bell, M.
S. Day, J. F. Grcar, M. J. Lijewski, M. Johnson, R. K. Cheng, I.
G. Shepherd, **"Numerical Simulation of a Premixed Turbulent
V-Flame"**, 19th International Colloquium on the Dynamics of
Explosions and Reactive Systems, July 27-August 1, 2003. [pdf]

J. F. Grcar,
M. S. Day and J. B. Bell, **"Conditional and opposed reaction
path diagrams for the analysis of fluid-chemistry
interactions"**, 19th International Colloquium on the Dynamics
of Explosions and Reactive Systems, July 27-August 1, 2003.

J. B. Bell, M.
S. Day, J. F. Grcar, M. J. Lijewski, **"Analysis of carbon
chemistry in numerical simulations of vortex flame
interactions"**, 19th International Colloquium on the Dynamics
of Explosions and Reactive Systems, July 27-August 1, 2003. [pdf]

N. Sullivan, A. D. Jensen,
P. Glarborg,
M.
S. Day, J. F. Grcar, J. B. Bell, C. J. Pope, and R. J. Kee, **"Ammonia
Conversion and NOx Formation in Laminar Coflowing
Nonpremixed Methane-Air Flames"**, LBNL Report LBNL-49347, *Combustion
and Flame* **131**(3):285-298 (2002). [pdf]

J. B. Bell, M.
S. Day, J. F. Grcar, W. G. Bessler, C. Shultz, P. Glarborg, and
A. D. Jensen, **"Detailed Modeling and Laser-Induced
Fluorescence Imaging of Nitric Oxide in an NH3-seeded
non-premixed methane/air flame"**, LBNL Report LBNL-49333, *Proceedings
of the Combustion Institute*, **29**:2195-2202 (2002). [pdf]

J. B. Bell, M.
S. Day, and J. F. Grcar, **"Numerical Simulation of Premixed
Turbulent Methane Combustion"**, LBNL Report LBNL-49331, *Proceedings
of the Combustion Institute*, **29**:1987-1993 (2002). [pdf]

J. B. Bell, M.
S. Day, and J. F. Grcar, **"Stochastic Algorithms for the
Analysis of Numerical Flame Solutions"**, LBNL Report
LBNL-49326, 2002. [pdf]

J. B. Bell, M.
S. Day, A. S. Almgren, M. J. Lijewski, and C. A. Rendleman, **"A
Parallel Adaptive Projection Method for Low Mach Number
Flows"**, *International Journal for Numerical Methods in
Fluids*, **40**:209-216, 2002. Also appears in *Numerical
Methods for Fluid Dynamics VII*, Proceedings of the 7th
International Conference on Numerical Methods for Fluid Dynamics
(ICFD 2001), Oxford University, March 26-29, 2001.

J. B. Bell, M.
S. Day, A. S. Almgren, M. J. Lijewski, and C. A. Rendleman, **"Adaptive
numerical simulation of turbulent premixed
combustion"**, Proceedings of the First MIT Conference on
Computational Fluid and Solid Mechanics, June 11-15, 2001. [ps.gz]

J. B. Bell, M.
S. Day, V. E. Beckner, A. L. Kuhl, P. Neuwald and H. Reichenbach **"Simulations
of shock-induced mixing and combustion of an
acetylene cloud in a chamber"**, 18th International Colloquium
on the Dynamics of Explosions and Reactive Systems, July
29-August 3, 2001.

J. B. Bell, M.
S. Day, J. F. Grcar and A. E. Lutz **"Turbulent combustion of
spherical fuel-rich hydrogen pockets"**, 18th International
Colloquium on the Dynamics of Explosions and Reactive Systems,
July 29-August 3, 2001.

A. S. Almgren,
J. B. Bell, and W. Y. Crutchfield, **``Approximate Projection
Methods: Part I. Inviscid Analysis,''** LBNL Report LBNL-43374, *SIAM
J. Sci. Comput.*, **22**:4, pp. 1139-59, 2000. [ps.gz]

J. Bell, A. Chorin and W. Crutchfield **``Stochastic
optimal prediction with application to Averaged
Euler equations''** * Proc. 7th Nat. Conf. Comput. Fluid Mech.*,
(C.A. Lin, Ed.), Pingtung, Taiwan, (2000), pp. 1-13. [bcc00_1.ps.gz]

M. S. Day and J. B. Bell **``Numerical Simulation of
Laminar Reacting Flows with Complex
Chemistry''** *Combust. Theory Modelling* **4**(4)
pp.535-556 *(also appears as LBNL Report LBNL-44682)* [pdf]

J. B. Bell, N. J. Brown, M. S. Day, M. Frenklach, J. F.
Grcar and S. R.
Tonse **``The Effect of Stoichiometry on Vortex Flame Interactions,''**
LBNL Report LBNL-44730, * Proceedings of the Combustion Institute*,
**28**
(2000). [pdf]

J. B. Bell, N. J. Brown, M. S. Day, M. Frenklach, J. F.
Grcar,
R. M. Propp and S. R. Tonse **``Scaling and Efficiency of PRISM in
Adaptive Simulations of
Turbulent Premixed Flames,''** LBNL Report LBNL-44732, *
Proceedings of the Combustion Institute*, **28**
(2000). [LBNLreport.ps.gz]
[Abstract(html)]

D. S. Nolan, A. S. Almgren, and J. B. Bell, **``High
Reynolds Number Simulations of Axisymmetric
Tornado-like
Vortices with Adaptive Mesh Refinement,''**
LBNL Report LBNL-42860. [paper.ps.gz]
[Abstract(html)]

A. S. Almgren, J. B. Bell, and W. Y. Crutchfield, **``Approximate
Projection Methods: Part I. Inviscid Analysis,''** * SIAM J. Sci.
Comput.,* **22**:4, pp. 1139-59, 2000.
Also LBNL Report LBNL-43374. [paper.ps.gz]

A. L. Garcia, J. B. Bell, W. Y. Crutchfield, B. J.
Alder, **``Adaptive Mesh and Algorithm Refinement''**, * J.
Comp. Phys.*, **154**, pp. 134-155, 1999. [ps.gz]

C. A. Rendleman, V. E. Beckner, M. Lijewski,
W. Y.
Crutchfield,
J. B. Bell,
``**Parallelization of Structured, Hierarchical Adaptive Mesh
Refinement
Algorithms**,'' *Computing and Visualization in Science,*,
Volume 3, 2000. [pdf]

G. I. Barenblatt, J. B. Bell, W. Y. Crutchfield, **``The
thermal
explosion
revisited,''** *Proceedings of the National Academy*, **95**,
November
pp.13384-13386, 1998.

David E. Stevens, John B. Bell, Ann S. Almgren, Vincent
E. Beckner,
and Charles A. Rendleman, **``Small Scale Processes and Entrainment
in a Stratocumulus
Marine Boundary Layer''** * J. Atmos. Sci.*, ** 57**:4, pp.
567-581, Feb. 2000. [ps.gz]

R.B. Pember, L.H. Howell, J.B. Bell, P. Colella, W.Y.
Crutchfield, W.A.
Fiveland, and J.P. Jessee, **``An Adaptive Projection Method for
Unsteady, Low-Mach Number
Combustion,''** * Comb. Sci. Tech.*, **140**, pp. 123-168,
1998.

Ann S. Almgren, John B. Bell, Phillip Colella, Louis H.
Howell, Michael
L. Welcome, **A Conservative Adaptive Projection Method for
the Variable Density Incompressible Navier-Stokes Equations**, *J.
Comp. Phys.*, 142, pp. 1-46, 1998. [Abstract]
[Paper(ps.gz)]

E.Gerry Puckett, Ann S. Almgren, John B. Bell, Daniel
L. Marcus,
William J. Rider, **A Higher-Order Projection Method for Tracking
Fluid Interfaces in Variable Density Incompressible Flows,** *J.
Comp. Phys.*, 130, pp. 269-282, 1997. [Abstract]

Ann S. Almgren, John B. Bell, Phillip Colella, Tyler
Marthaler **A Cartesian Grid Projection Method for the Incompressible
Euler
Equations in Complex Geometries**, *SIAM J. Sci. Comp.*,
18:5, Sept. 1997. [Abstract]
[Paper(ps.gz)]

Ann S. Almgren, John B. Bell, Phillip Colella, Tyler
Marthaler **A Cell-Centered Cartesian Grid Projection Method for the
Incompressible Euler Equations in Complex Geometries**, *Proceedings
of the AIAA 12th
Computational Fluid Dynamics Conference*, June 19-22, 1995, San
Diego, CA. [Abstract]
[Paper(ps.gz)]

Richard B. Pember, Ann S. Almgren, John B. Bell,
Phillip Colella,
Louis Howell, Mindy Lai, **A Higher-Order Projection Method for the
Simulation of Unsteady Turbulent Nonpremixed Combustion in an
Industrial Burner,**, *Transport Phenomena in Combustion*,
Taylor and Francis,
publ., July 1996. [Abstract] [Preprint] [fig. 2,3] [fig. 4] [Paper(ps.gz)]

R.B. Pember, P. Colella, L.H. Howell, A.S. Almgren,
J.B. Bell,
W. Y. Crutchfield, V.E. Beckner, K.C. Kaufman, W.A. Fiveland,
J.P. Jessee, **The Modeling of a Laboratory Natural Gas-Fired Furnace
with a
Higher-Order Projection Method for Unsteady Combustion,**
Technical Report UCRL-JE-123244, LLNL, February 1996. Twenty-sixth
International Symposium on Combustion,Naples, Italy, July 28 - August
2, 1996. [Abstract(ps.gz)]
[Paper(ps.gz)]
[Poster
session(ps.gz)]

Mark M. Sussman, Ann S. Almgren, John B. Bell, Phillip
Colella,
Louis H. Howell, Michael Welcome, **An Adaptive Level Set Approach
for Incompressible Two-Phase
Flows,**
LBNL-40327, *J. Comp. Phys.*, 148, pp. 81-124, 1999. [Paper(ps.gz)]

Mark M. Sussman, Ann S. Almgren, John B. Bell, Phillip
Colella, Louis
H. Howell, Michael Welcome, **An Adaptive Level Set Approach for
Incompressible Two-Phase
Flows,** *Proceedings of the ASME Fluids Engineering Summer
Meeting:
Forum on Advances in Numerical Modeling of Free Surface and Interface
Fluid Dynamics*, San Diego, CA, July 7-11, 1996. [Abstract]

Richard B. Pember, Ann S. Almgren, William Y.
Crutchfield, Louis H.
Howell,
John B. Bell, Phillip Colella, and Vincent E. Beckner, **An Embedded
Boundary Method for the Modeling of Unsteady Combustion
in an Industrial Gas-Fired Furnace,** Technical Report
UCRL-JC-122177,
LLNL, October 1995. *Proceedings of
the 1995 Fall Meeting of the Western States Section of the Combustion
Institute,*, Stanford, CA, October 30-31, 1995. [Paper(ps.gz)]
[Abstract(ps.gz)]

Ann S. Almgren, John B. Bell, Phillip Colella, Louis H.
Howell, Michael
Welcome, **A High-Resolution Adaptive Projection Method for
Regional Atmospheric Modeling,** Proceedings of the NGEMCOM
Conference sponsored by the U.S. EPA, August 7-9, 1995, Bay City, MI. [Abstract]

Ann S. Almgren, John B. Bell, Louis H. Howell, Phillip
Colella, **An
Adaptive Projection Method for the Incompressible Navier-Stokes
Equations,** *Proceedings of the IMACS 14th World Conference*,
July 11-15, 1994, Atlanta, GA. [Abstract]

Ann S. Almgren, John B. Bell, Phillip Colella, Louis H.
Howell, **An
Adaptive Projection Method for the Incompressible Euler
Equations,** *Proceedings of the AIAA 11th
Computational Fluid Dynamics Conference*, July 6-9, 1993, Orlando,
FL. [Abstract]

Ann S. Almgren, John B. Bell, William G. Szymczak, **A
Numerical
Method for
the Incompressible Navier-Stokes Equations Based on an Approximate
Projection,** *SIAM J. Sci. Comp.*,17:2, March 1996. [Abstract]

D.L. Marcus, R.B. Pember, J.B. Bell, V.E. Beckner, D. Simkins, M.L.
Welcome, **Multidimensional numerical simulation of a pulse combustor,**
AIAA 94-2315, *Proceedings of the 25th AIAA Fluid Dynamics
Conference,* Colorado Springs, CO, June 20-23, 1994,
*Comb. Sci. Tech*.

J.A. Greenough, V. Beckner, R. B. Pember, W. Y.
Crutchfield, J.B. Bell,
and P. Colella, **An Adaptive Multifluid Interface-Capturing Method
for
Compressible Flow
in Complex Geometries**, UCRL-JC-118609, April, 1995, *Proceedings
of the 12th AIAA CFD Conference*, San Diego,
CA,
June 19-22, 1995. [Abstract(ps.gz)]

J.A. Greenough, J.B. Bell, P. Colella, and E.G.
Puckett, **A Numerical Study of Shock-Induced Mixing of a Helium
Cylinder:
Comparison with Experiment**, *Proceedings of the 20th
International
Symposium on Shock Waves*.

E. Steinthorsson, D. Modiano, W. Y. Crutchfield, J. B.
Bell, and P.
Colella, **An adaptive semi-implicit scheme for simulations of
unsteady
viscous
compressible flow,** *Proceedings of the 12th AIAA CFD Conference*,
San Diego, CA,
June 19-22, 1995.

D.L. Marcus, R.B. Pember, J.B. Bell **Induction time
effects in pulse combustors,**
AIAA 95-0875, *33rd Aerospace Sciences Meeting*, Reno, NV, Jan.
9-12, 1995.

L. H. Howell and J. B. Bell, **An Adaptive-Mesh
Projection Method for
Viscous Incompressible Flow,** *SIAM J. Sci. Comp.*, 18, No.
4, pp. 996-1013, July 1997. [Abstract]

J. Bell, M. Berger, J. Saltzman, M. Welcome, **Three
Dimensional Adaptive Mesh Refinement for Hyperbolic
Conservation Laws,** *SIAM J. Sci. Stat. Comput.*, January
1994.

J. B. Bell, J. M. Solomon, and W. G. Szymczak, **A
Projection Method
for Viscous Incompressible Flow on Quadrilateral Grids,** *AIAA J.*,
32:1961--1969, 1994.

W.Y. Crutchfield and J.B. Bell, **Instabilities of
the Skyrme Model,** *J. Comp. Phys.*, 110:234-241, 1994 .

R. B. Pember, J. B. Bell, P. Colella, W. Y.
Crutchfield, and M. L.
Welcome, **An adaptive Cartesian grid method for
for unsteady compressible flow in complex geometries,** *J. Comp.
Phys.*, 120:2, pp 278-304, 1995.

M. Lai, J. B. Bell and P. Colella, **A Projection
Method for
Combustion in
the Zero Mach Number Limit,** *Proceedings of the 11th AIAA CFD
Conference*, Orlando,
Florida, July 1993.

R. B. Pember, J. B. Bell, P. Colella, W. Y.
Crutchfield, and M. L.
Welcome, **Adaptive Cartesian grid methods for representing geometry
in
inviscid compressible flow,** *Proceedings of the 11th AIAA CFD
Conference*, Orlando,
Florida, July 1993.

J. A. Greenough and J. B. Bell, **Direct Simulation
of a
Shock-Induced
Mixing Layer,** *Proceedings of the
4th International Workshop on Physics of Compressible Turbulent
Mixing*, Cambridge, England, March 1993.

R. I. Klein, J. B. Bell, R. B. Pember, T. Kelleher, **Three
Dimensional
Hydrodynamic Calculations with Adaptive Mesh Refinement of the
Evolution of Rayleigh Taylor and Richtmyer Meshkov Instabilities in
Converging Geometry: Multi-Mode Perturbations,** *Proceedings of
the
4th International Workshop on Physics of Compressible Turbulent
Mixing*, Cambridge, England, March 1993.

J.B. Bell and D.L. Marcus, **Vorticity
Intensification and Transition
to Turbulence in a Three-Dimensional Euler Equations,** *Comm.
Math. Phys.*, 147:371-394, 1992.

D. L. Marcus and J. B. Bell, **The Structure and
Evolution of the
Vorticity and Temperature Fields in Thermals,** *Theor. and Comp.
Fluid Dynamics*, 3:327-344, 1992.

A. L. Kuhl, J. B. Bell, R. E. Ferguson, K.-Y. Chien and
J. P. Collins, **Evolution of Reactants Volume in Turbulent Jets,**
*Twenty-Fourth
Symposium
(Internation) on Combustion*, published by the Combustion
Institute,
77-82, 1992.

J. B. Bell and D. L. Marcus, **A Second-Order
Projection Method
for Variable Density Flows,** *J. Comp. Phys.*,
101:334-348,1992.

D.L. Marcus, E.G. Puckett, J.B. Bell, and J. Saltzman, **Numerical
Simulation of Accelerated Interfaces,** *Proceedings
of the 3rd International Workshop on the Physics of Compressible
Turbulent Mixing*, R. Dautray, editor, pp. 63--81, Royaumont,
France, 1991.

J. Bell, P. Colella, and L. Howell, **An efficient
second-order
projection method for viscous incompressible flow,** *Proceedings
of the 10th AIAA Computational Fluid
Dynamics Conference*, Honolulu, June 24-26, 1991.

J. Bell, P. Colella, and M. Welcome, **Conservative
Front-Tracking
for Inviscid Compressible Flow,** *Proceedings of the 10th AIAA
Computational Fluid
Dynamics Conference*, Honolulu, June 24-26, 1991.

D. L. Marcus and J. B. Bell, **Numerical simulation
of a
viscous vortex ring interaction with a density interface,** *Phys.
Fluids A*, 6(4), 1994, 1505-1515.

I. I. Glass, J. Kaca, D. L. Zhang, H. M. Glaz, J. B.
Bell,
J. A. Trangenstein, and J. P. Collins, **Diffraction of Planar Shock
Waves over Half-Diamond and Semicircular Cylinders: An Experimental
and Numerical Comparison,** *Proceedings of the 17th
International
Symposium on Shock Waves and Shock Tubes*, July 17-21, 1989,
Lehigh University.

J. B. Bell, J. M. Solomon and W. G. Szymczak, **A
Second-order
Projection
Method for the Incompressible Navier-Stokes Equations on Quadrilateral
Grids,** *Proceedings of the AIAA 9th Computational Fluid
Dynamics
Conference*, Buffalo, New York, June 14-16, 1989.

J. B. Bell, P. Colella, J. A. Trangenstein and M.
Welcome, **Adaptive Mesh Refinement on Moving Quadrilateral Grids,**
*Proceedings of the AIAA 9th Computational Fluid Dynamics
Conference*, Buffalo, New York, June 14-16, 1989.

J. B. Bell, H. M. Glaz, J. M. Solomon and W. G.
Szymczak, **"Application of a Second-order Projection Method to the
Study
of
Shear Layers,"** *Proceedings of the 11th International
Conference on Numerical
Methods
in Fluid Dynamics*, Williamsburg, Va., June 27-July 1, 1988.

J. B. Bell, P. Colella, J. A. Trangenstein and M.
Welcome, **Godunov Methods and Adaptive Algorithms for Unsteady
Fluids
Dynamics,** *Proceedings of the 11th International Conference on
Numerical
Methods
in Fluid Dynamics*, Williamsburg, Va., June 27-July 1, 1988.

J. B. Bell, P. Colella, and H. M. Glaz, **A
Second-Order Projection
Method for the Incompressible Navier-Stokes Equations**, *J.
Comp. Phys.*, Vol. 85, p. 257-283.

J. B. Bell, P. Colella and J. A. Trangenstein, **Higher-Order
Godunov Methods for Systems of Hyperbolic
Conservation Laws**, UCRL-97258, August 1987, *J. Comp. Phys.*,
Vol. 82, p. 362-397.

J. B. Bell, C. N. Dawson and G. R. Shubin, **An
Unsplit Higher Order Godunov Method for Scalar
Conservation Laws in Multiple Dimensions**, *J. Comp. Phys.*,
Vol. 74, No. 1, p. 362-397, 1988.

J. B. Bell, P. Colella, J. Trangenstein, and M.
Welcome, **Adaptive
Methods for High Mach Number Reacting Flow**, AIAA paper 87-1168-CP, *
Proceedings of the AIAA 8th Computational Fluid Dynamics
Conference*,
Honolulu, Hawaii, June 9-11, 1987, p. 717-725.

J. B. Bell, P. Colella, and H. M. Glaz, **A
Second-Order Projection Method for Viscous, Incompressible
Flow**, AIAA paper 87-1776-CP, * Proceedings of the AIAA 8th
Computational Fluid Dynamics
Conference*,
Honolulu, Hawaii, June 9-11, 1987, p. 789-794.

W. G. Szymczak, J. M. Solomon, A. E. Berger, J. B. Bell
and J. E.
Osborn, **Numerical Solutions for Laminar Flow Over a Backward-Facing
Step**, * 6th IMACS International Symposium on Computer Methods
for
PDEs*,
Bethelehem, PA, June 23-26, 1987.

W. G. Szymczak, J. M. Solomon, A. E. Berger and J. B.
Bell, **Multiple Discrete Solutions of the Incompressible
Steady-State
Navier-Stokes Equations**, UCRL-86765, June, 1987, to appear in *Numerische
Mathemati*k.

J. A. Trangenstein and J. B. Bell, **Mathematical
Structure of
Compositional
Reservoir Simulation**, *SIAM J. Sci. Stat. Comput.*, Vol.
10, p. 817-845.

J. A. Trangenstein and J. B. Bell, **Mathematical
Structure of
Black-Oil
Reservoir Simulation**, *SIAM J. Appl. Math.*, Vol. 49, p.
749-783.

G. R. Shubin and J. B. Bell, **A Modified Equation
Approach to
Constructing
Fourth Order Schemes for Acoustic Wave Propagation**, * SIAM J.
Sci. Stat. Comput.*, Vol. 8, No. 2, pp 135-151,
1987.

J. B. Bell, J. A. Trangenstein, and G. R. Shubin, **Conservation
Laws
of
Mixed Type Describing Three-Phase Flow in Porous Media**, * SIAM
J. Appl. Math.*, Vol. 46, No. 6, pp. 1000-1017,
1986.

J. B. Bell, G. R. Shubin, and J. A. Trangenstein, **A
Method for
Reducing
Numerical Dispersion
in Two-Phase Black-Oil Reservoir Simulation**, *J. Comp. Phys.*,
Vol. 65, No. 1, pp. 71-106, 1986.

J. B. Bell and G. R. Shubin, **Higher Order Godunov
Methods for
Reducing
Numerical Dispersion
in Reservoir Simulation**, SPE Paper 3514, *Proceedings of the
Eighth
SPE Symposium on Reservoir Simulation*, Dallas, TX, Feb. 10-13,
1985.

G. R. Shubin and J. B. Bell, **An Analysis of the
Grid Orientation
Effect
in Numerical Simulation of Miscible Displacement**, *Computer
Methods in
Applied Mechanics and Engineering*, Vol. 47, No. 1-2,
Dec. 1984, pp. 47-71.

J. B. Bell, G. R. Shubin and M. F. Wheeler, **Analysis
of a New
Method for Computing the Flow of Miscible Fluids in a Porous Media**,
* SIAM J. Numer. Anal.*,
Dec. 1985.

J. B. Bell and G. R. Shubin, **An Adaptive Grid
Finite Difference
Method for Conservation Laws**, *J. Comp. Phys.*, 52:3, Dec.
1983, pp. 569-591.

A. Stephen, J. Bell, J. Solomon, and L. Hackerman, **A
Discrete Galerkin formulation for the Incompressible
Navier-Stokes Equations**, *J. Comp. Phys.*, 53:1,
Jan. 1984, pp. 152-172.

G. R. Shubin, A. B. Stephens and J. B. Bell, **Three
Dimensional
Grid Generation Using Biharmonics**, * Numerical Grid Generation*,
Joe F. Thompson, editor,
Elsevier, New
York, 1982, pp. 761-774.

J. B. Bell, G.R. Shubin and J. M. Solomon, **Fully
Implicit
Shock Tracking**, * J. Comp. Phys.*, 48:2, Nov. 1982, pp.
222-245.

J. B. Bell, G. R. Shubin and A. B. Stephens, **A
Segmentation
Approach to Grid Generation Using Biharmonics**, * J. Comp. Phys.*,
47:3, Oct. 1982, pp. 463-472.

J. B. Bell, R. L. Bell and J. A. Hill, **Inverse
Solution
of the Heat Equation for Reducing Wind-Tunnel Data From Thin-Skin Models**,
*Proceedings of the 2nd Aerothermal Workshop*,
Williamsburg, Virginia, March 1982.

J. Bell and L. Payne, **On the numerical solution of
the
backward heat equation**, *Proceedings of the Stefan Banach
Institute*.

J. Bell, **The Noncharacteristic Cauchy Problem for a
Class of
Equations with Time Dependence, Part I: Problems in One Space Dimension
and Part II: Problems in Several Space Dimensions**, *SIAM J.
Math. Anal.*, 12:5, Sept. 1981, pp. 759-797.

K. Aziz, J. Bell and M. Schneider, **Existence and
Uniqueness for
a Mixed Problem in a Rectangle**, *Math. Methods in Applied
Sciences*.

K.-Y. Chien, A. Berger, W. Ragsdale and J. Bell, **Free
Molecular
Flow over a Spinning Cylinder with Heat Transfer**, *Proceedings
of the 11th International Symposium on Rarefied Gas Dynamics*,
Cannes, July 3-8, 1978.

J. Solomon, M. Ciment, R. Ferguson and J. Bell, **Inviscid
Flowfield
Calculations for Re-entry Vehicles with Control Surfaces**, *AIAA
Journal*, Vol. 15, No. 12, Dec. 1977.

S. Leventhal, A. Keel, G. Heiche and J. Bell, **An
Electrostatic
System for Measuring Roll Position on a Supersonic Vehicle, Part
I: Theoretical Analysis and Experimental Results**, *Proceedings
of the AIAA 1977 Guidance and Control Conference*, Hollywood,
Florida, August 1977.

**AMR Algorithms for Multiphysics Applications: Current Practice and Future Directions**
(invited plenary talk given at the 2011 ICiS Multiphysics Workshop, Park City, Utah, August 2011)
[pdf]

**Low Mach Number Models in Computational Astrophysics**
(invited plenary talk given at the 2011 ICIAM Meeting, Vancouver, July 2011)
[pdf]

**Parallel Algorithms for Multiphysics Adaptive Mesh Refinement**
(given at the DD20 Conference, Seattle, June 2011)
[pdf]

**AMR Applications in Astrophysics**
(given at the INT Exascale Workshop, Seattle, June 2011)
[pdf]

**Combustion Simulation on Next Generation Architectures**
(given at Los Alamos National Laboratory in May 2011)
[pdf]

**Modeling of Fluctuations in Algorithm Refinement Methods**
[pdf]