Postdoctoral Researcher, Computational Research Division
Affiliation and Research Interests
I am a postdoctoral researcher in the Center for Computational Sciences and Engineering (CCSE) in the Computational Research Division of the Computing Sciences Directorate at the Lawrence Berkeley National Laboratory. My research interests focus on the development of numerical schemes to solve the partial differential equations arising in the physical sciences. I am also interested in the design of efficient nonlinear solution algorithms for these schemes, and in their implementation on high-performance computing platforms.
My current research topics include:
The development of high-order accurate time stepping methods and discretization schemes for low-Mach number combustion with complex chemistry. A key challenge is to integrate these advanced methods in Pele-LM, one of the exascale solvers for reactive flows developed in CCSE. The main application of this research is the numerical simulation of laboratory-scale flames.
The development of high-order parallel-in-time integration methods for the simulation of atmospheric flows. Our approach relies on the multilevel iterative Parallel Full Approximation Scheme in Space and in Time (PFASST) to solve multiple time steps in parallel and therefore reduce the time-to-solution. The applications are Numerical Weather Prediction (NWP) and long-term climate simulations.
The analysis of robust discretization schemes for multiphase flow in geological porous media used to simulate oil & gas recovery processes and underground hydrosystems. This effort builds on my PhD research at Stanford University with Prof. Hamdi Tchelepi and Dr. Brad Mallison (Chevron).
In December 2016, I defended my PhD thesis in the Energy Resources Engineering department at Stanford University. I graduated with a minor in Computational and Mathematical Engineering. Under the supervision of Prof. Hamdi Tchelepi, I designed efficient nonlinear solvers and spatial discretization schemes for multiphase flow and transport in geological porous media. My PhD was funded by the French oil company Total, and included scientific collaborations and internships with Total and Chevron.
F. P. Hamon, M. Schreiber, M. L. Minion, "Multi-Level Spectral Deferred Corrections Scheme for the Shallow Water Equations on the Rotating Sphere", submitted for publication. [arxiv]
F. P. Hamon, M. S. Day, M. L. Minion, "Concurrent Implicit Spectral Deferred Correction Scheme for Low-Mach Number Combustion with Detailed Chemistry", submitted for publication. [arxiv]
D. J. Gardner, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, C. S. Woodward, "Implicit-Explicit Runge-Kutta Methods for Non-Hydrostatic Atmospheric Models", Geosci. Model Dev., 11(4), pp 1497-1515, 2018. [pdf]
F. P. Hamon, B. T. Mallison, H. A. Tchelepi, "Implicit Hybrid Upwinding for Two-Phase Flow in Heterogeneous Porous Media with Buoyancy and Capillarity", Comput. Methods in Appl. Mech. Eng., 331, pp 701-727, 2018. [link]
F. P. Hamon, B. T. Mallison, H. A. Tchelepi, "Implicit Hybrid Upwind Scheme for Coupled Multiphase Flow and Transport with Buoyancy", Comput. Methods in Appl. Mech. Eng., 311, pp 599-624, 2016. [link]
F. P. Hamon, H. A. Tchelepi, "Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Multiphase Flow with Gravity", SIAM J. Numer. Anal., 54(3), pp 1682-1712, 2016. [link]
F. P. Hamon, H. A. Tchelepi, "Ordering-based Nonlinear Solver for Fully-Implicit Simulation of Three-Phase Flow", Comput. Geosci., 20, pp 475-493, 2016. [link]