High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer

DOI10.1137/19M1297907zbMath1454.65122arXiv1910.11931MaRDI QIDQ5132006

Weizhang Huang, Jianxian Qiu, Min Zhang

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11931

zbMATH Keywords

radiative transfer equationconservativepositivity preservingMMPDEDG-interpolationmoving mesh DG method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Radiative transfer in astronomy and astrophysics (85A25) Integro-partial differential equations (35R09)

Related Items (10)

A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes ⋮ A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations ⋮ A metric tensor approach to data assimilation with adaptive moving meshes ⋮ Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Residual distribution schemes for steady radiative transfer equations on unstructured meshes ⋮ A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes ⋮ A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow ⋮ A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography ⋮ A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver

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