An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
DOI10.1016/j.jcp.2015.01.008zbMath1351.76186OpenAlexW2101689071MaRDI QIDQ729084
Song Jiang, Wen-jun Sun, Kun Xue
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.01.008
unified gas kinetic schemeasymptotic preservingequilibrium diffusion equationgrey radiative transfer equations
Integro-partial differential equations (45K05) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
Related Items (42)
Cites Work
- On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A unified gas-kinetic scheme for continuum and rarefied flows
- 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 Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
- Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations
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