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New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling
Cory D. Hauck, Qiwei Sheng, Yulong Xing
Discontinuous Galerkin (DG) methods are widely adopted to discretize the radiation transport equation (RTE) with diffusive scalings. One of the most important advantages of the DG…
Sparse-grid Discontinuous Galerkin Methods for the Vlasov-Poisson-Lenard-Bernstein Model
Stefan Schnake, Coleman Kendrick, Eirik Endeve +6
Sparse-grid methods have recently gained interest in reducing the computational cost of solving high-dimensional kinetic equations. In this paper, we construct adaptive and hybrid…
A Hybrid Monte Carlo, Discontinuous Galerkin method for linear kinetic transport equations
Johannes Krotz, Cory D. Hauck, Ryan G. McClarren
We present a hybrid method for time-dependent particle transport problems that combines Monte Carlo (MC) estimation with deterministic solutions based on discrete ordinates. For sp…
Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering
Qiwei Sheng, Cory Hauck, Yulong Xing
In highly diffusion regimes when the mean free path tends to zero, the radiative transfer equation has an asymptotic behavior which is governed by a diffusion equatio…