A MOOD-like compact high order Finite Volume scheme with Adaptive Mesh Refinement
Language
en
Article de revue
This item was published in
Applied Mathematics and Computation. 2023-04, vol. 443
Elsevier
English Abstract
In this paper, a novel Finite Volume (FV) scheme for obtaining high order approximations of solutions of multidimensional hyperbolic systems of conservation laws within an Adaptive Mesh Refinement framework is proposed. ...Read more >
In this paper, a novel Finite Volume (FV) scheme for obtaining high order approximations of solutions of multidimensional hyperbolic systems of conservation laws within an Adaptive Mesh Refinement framework is proposed. It is based on a point-wise polynomial reconstruction that avoids the recalculation of reconstruction stencils and matrices whenever a mesh is refined or coarsened. It also couples both the limiting of the FV scheme and the refinement procedure, taking advantage of the Multi-dimensional Optimal Order Detection (MOOD) detection criteria. The resulting computational procedure is employed to simulate test cases of increasing difficulty using two models of Partial Differential Equations: the Euler system and the radiative M 1 model, thus demonstrating its efficiency.Read less <
English Keywords
Finite Volume scheme High accuracy Hyperbolic systems MOOD AMR
Finite Volume scheme
High accuracy
Hyperbolic systems
MOOD
AMR
Origin
Hal imported