A lattice-Boltzmann relaxation scheme for coupled convection-radiation systems
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Semi-implicit time integration for PN thermal radiative transfer
Journal of Computational Physics
Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations
Journal of Scientific Computing
Journal of Computational Physics
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Asymptotic Preserving Scheme for Euler System with Large Friction
Journal of Scientific Computing
Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
SIAM Journal on Scientific Computing
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An asymptotic-induced scheme for nonstationary transport equations with the diffusion scaling is developed. The scheme works uniformly for all ranges of mean-free paths. It is based on the asymptotic analysis of the diffusion limit of the transport equation.A theoretical investigation of the behavior of the scheme in the diffusion limit is given and an approximation property is proven. Moreover, numerical results for different physical situations are shown and the uniform convergence of the scheme is established numerically.