A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation

Heningburg, Vincent E.; Hauck, Cory

doi:10.1137/19m1304520

Title: A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation

Journal Article · Thu Jan 07 00:00:00 EST 2021 · Multiscale Modeling & Simulation

DOI:https://doi.org/10.1137/19m1304520· OSTI ID:1846554

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

In this report we propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous Galerkin (DG) method and a second-order finite-volume (FV) method. The strategy relies on a simple operator splitting that has been used previously to combine different angular discretizations. Unlike standard FV methods with upwind fluxes, the hybrid approach is able to accurately simulate problems in scattering dominated regimes. However, it requires less memory and yields a faster computational time than a uniform DG discretization. In addition, the underlying splitting allows naturally for hybridization in both space and angle. Numerical results are given to demonstrate the efficiency of the hybrid approach in the context of discrete ordinate angular discretizations and Cartesian spatial grids.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC05-00OR22725; AC52-06NA25396

OSTI ID:: 1846554

Journal Information:: Multiscale Modeling & Simulation, Vol. 19, Issue 1; ISSN 1540-3459

Publisher:: SIAMCopyright Statement

Country of Publication:: United States

Language:: English

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