An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations

DOI10.1137/140999992zbMath1339.82008arXiv1501.02180OpenAlexW3099129670MaRDI QIDQ2788630

Kerstin Küpper, Martin Frank, Shih Jin

Publication date: 22 February 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02180

zbMATH Keywords

stability analysisasymptotic-preserving schemesmethod of manufactured solutionslinear transport theorymultiple scale methodsmultiscale transport equationsspace-dependent scattering

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

Asymptotic-preserving schemes for multiscale physical problems ⋮ An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation ⋮ A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit ⋮ A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations ⋮ Implicit Asymptotic Preserving Method for Linear Transport Equations ⋮ Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation ⋮ Odd-even based asymptotic preserving scheme for a 2D stochastic kinetic-fluid model ⋮ A new stable splitting for the isentropic Euler equations

Uses Software

• StaRMAP

Cites Work

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