High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations

Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation

(2020) Jean-Luc Guermond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Unified gas-kinetic wave-particle methods III: Multiscale photon transport

(2020) Weiming Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering

(2020) Martin Frank et al.   NUCLEAR SCIENCE AND ENGINEERING

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling

(2020) Zhichao Peng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Toward Asymptotic Diffusion Limit Preserving High-Order, Low-Order Method

(2020) H. Park   NUCLEAR SCIENCE AND ENGINEERING

Ray effect mitigation for the discrete ordinates method through quadrature rotation

(2019) Thomas Camminady et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling

(2019) Anaïs Crestetto et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

(2019) Haijin Wang et al.   Science China-Mathematics

A multi-dimensional, moment-accelerated deterministic particle method for time-dependent, multi-frequency thermal radiative transfer problems

(2019) Hans Hammer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes

(2019) Min Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension

(2019) Zhichao Peng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An asymptotic preserving angular finite element based unified gas kinetic scheme for gray radiative transfer equations

(2019) Xiaojing Xu et al.   JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER

An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation

(2018) Jie Du et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Functional Expansion Tally Method for Gray Radiative Transfer Equations in Implicit Monte Carlo

(2018) Yi Shi et al.   Journal of Computational and Theoretical Transport

A multidimensional unified gas-kinetic scheme for radiative transfer equations on unstructured mesh

(2017) Wenjun Sun et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Multiscale high-order/low-order (HOLO) algorithms and applications

(2017) L. Chacón et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-order solution methods for grey discrete ordinates thermal radiative transfer

(2016) Peter G. Maginot et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

(2016) Daming Yuan et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations

(2015) Wenjun Sun et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations

(2015) Wenjun Sun et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling

(2015) Juhi Jang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling

(2014) Juhi Jang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

(2014) Sebastiano Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Application of central schemes for solving radiation hydrodynamical models

(2013) Shamsul Qamar et al.   COMPUTER PHYSICS COMMUNICATIONS

On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models

(2013) Luc Mieussens   JOURNAL OF COMPUTATIONAL PHYSICS

Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit

(2013) S. Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Properties of the implicitly time-differenced equations of thermal radiation transport

(2012) Edward W. Larsen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Robust and accurate filtered spherical harmonics expansions for radiative transfer

(2010) Ryan G. McClarren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in Implicit Monte Carlo

(2010) Jeffery D. Densmore   JOURNAL OF COMPUTATIONAL PHYSICS

Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit

(2010) Jean-Luc Guermond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling

(2009) Ryan G. McClarren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws

(2008) Ryan G. McClarren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

(2008) Mohammed Lemou et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING