Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell's Equations in Time Domain

被引：0
|
作者：
Ritzenthaler, Valentin [1 ]
Cantin, Pierre [2 ]
Ferrieres, Xavier [1 ]
机构：
[1] Univ Toulouse, ONERA DEMR, F-31055 Toulouse, France
[2] Univ Paul Sabatier, CNRS, IMT, UMR 5219, Toulouse, France
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2024年 / 99卷 / 03期
关键词：
Computational electromagnetism; Physics compatible scheme; Mesh hybridization;
D O I：
10.1007/s10915-024-02533-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a low-order spatial discretization to solve the Maxwell equations in the time-domain, namely: the Compatible Discrete Operator scheme. The basics to build this scheme are recalled, and it is shown how this scheme allows to efficiently deal with hybrid meshes composed of a Cartesian part and a simplicial part, with polyhedra at the interface between the two. The scheme is formulated for the Maxwell equations in the case where the computational domain is surrounded by Perfectly Matched Layers. Finally, the paper proposes some numerical examples on meshes with non-conformities, to emphasize the robustness and the interest of such a scheme.
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页数：16
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