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20202026
most citedA Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation

6 citations · 23 across the 17 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.NA2023★ 2 cited

A Variable Eddington Factor Model for Thermal Radiative Transfer with Closure based on Data-Driven Shape Function

Joseph M. Coale, Dmitriy Y. Anistratov

A new variable Eddington factor (VEF) model is presented for nonlinear problems of thermal radiative transfer (TRT). The VEF model is a data-driven one that acts on known (a-priori…

math.NA2023★ 6 cited

A Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation

Joseph M. Coale, Dmitriy Y. Anistratov

A data-driven projection-based reduced-order model (ROM) for nonlinear thermal radiative transfer (TRT) problems is presented. The TRT ROM is formulated by (i) a hierarchy of low-o…

math.NA2023

Multilevel Method for Thermal Radiative Transfer Problems with Method of Long Characteristics for the Boltzmann Transport Equation

Joseph M. Coale, Dmitriy Y. Anistratov

In this paper analysis is performed on a computational method for thermal radiative transfer (TRT) problems based on the multilevel quasidiffusion (variable Eddington factor) metho…

math.NA2023

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation

Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel +1

In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geo…

math.NA2023

A Nonlinear Projection-Based Iteration Scheme with Cycles over Multiple Time Steps for Solving Thermal Radiative Transfer Problems

Joseph M. Coale, Dmitriy Y. Anistratov

In this paper we present a multilevel projection-based iterative scheme for solving thermal radiative transfer problems that performs iteration cycles on the high-order Boltzmann t…