Doreen (Duoming) Fan
Postdoctoral Researcher, Computational Research Division
1 Cyclotron Rd. Berkeley, CA 94720
Lawrence Berkeley National Laboratory
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 focuses on efficient algorithms for complex unsteady hydrodynamics and
compressible fluid flows. Currently, I am working with
codes for modeling low Mach number astrophysical flows. My work is funded by the
TEAMS (Towards Exascale Astrophysics of Mergers and Supernovae) SciDAC project.
High-order Methods for Computational Fluid Dynamics
My doctoral research at the University of Michigan involved development of
a new class of high-order CFD schemes called the Active Flux (AF) method.
The AF method can be best described as a finite-volume method with additional degrees
of freedom (DOF) at interfaces so that the interface fluxes evolve independently
from the cell-averages. It is a fully discrete, maximally stable method that uses
continuous data representation and truly multidimensional solvers
(no Riemann solvers necessary!).
With a focus on solving conservation laws that describe acoustic processes,
we confirmed that the AF method is able to achieve third-order accuracy using
the same number of DOFs as the second-order discontinuous Galerkin method
using linear reconstruction (DG1). In a direct comparison between the two methods
for acoustics problems, we found that the AF method displays superior circular
symmetry with significantly less scatter, and takes one magnitude less in
computation time to achieve the same level of error than DG1.
Fan, D. and Roe, P.L.. Investigations of a New Scheme for Wave Propagation.
AIAA Aviation, Dallas, TX, 2015.
Solving Radiative Heat Transfer using Maximum Entropy Moment Closure
My masters' research at the University of Toronto Institute for Aerospace Studies (UTIAS)
explored the numerical evaluation of radiative heat transfer equation using the
M1 model, which uses the maximum entropy moment closure for the
two-moment approximation of the governing equation.
We found that while this model cannot accurately resolve multi-directional radiation transport
occurring in low-absorption media, it does provide reasonably accurate solutions in
more realistic radiation transport problems involving absorbing-emitting or scattering media.
The M1 model is also much less computationally expensive than other radiative
heat transfer solvers such as the discrete ordinates method (DOM) on complex geometries.
Fan, D., Charest, M.R.J., and Liu, F.. Evaluation of Maximum Entropy Moment Closure
for Solutions of Radiative Heat Transfer.
CICS Spring Technical Meeting, Toronto, ON, 2012.