An asymptotic-preserving IMEX method for nonlinear radiative transfer equation

DOI10.1007/s10915-022-01870-3OpenAlexW3049631218MaRDI QIDQ2149166

Jinxue Fu, Peng Song, Yan Li Wang, Wei-Ming Li

Publication date: 28 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06730

zbMATH Keywords

radiative transfer equationenergy stabilityasymptotic preserving

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Thermodynamics and heat transfer (80Axx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Related Items (1)

Solving multiscale steady radiative transfer equation using neural networks with uniform stability

Uses Software

• StaRMAP

Cites Work

• Unnamed Item
• On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models
• Simulating radiative transfer with filtered spherical harmonics
• Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo
• Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements
• High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling
• Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems
• High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation
• An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
• Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks
• Semi-implicit time integration for \(P_N\) thermal radiative transfer
• Robust and accurate filtered spherical harmonics expansions for radiative transfer
• Second-order time evolution of \(P_N\) equations for radiation transport
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• High-order solution methods for grey discrete ordinates thermal radiative transfer
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Unified gas-kinetic wave-particle methods. III: Multiscale photon transport
• An asymptotic preserving unified gas kinetic particle method for radiative transfer equations
• Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling
• A multi-dimensional, moment-accelerated deterministic particle method for time-dependent, multi-frequency thermal radiative transfer problems
• Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling
• Filtered hyperbolic moment method for the Vlasov equation
• Properties of the implicitly time-differenced equations of thermal radiation transport
• Computing nearly singular solutions using pseudo-spectral methods
• On solutions to the \(P_n\) equations for thermal radiative transfer
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations
• Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
• The discrete-ordinate method in diffusive regimes
• Fully-discrete numerical transfer in diffusive regimes
• An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
• Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
• A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations
• Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation
• A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
• A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations
• StaRMAP---A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer
• A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems
• Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations

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