Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces

JOURNAL OF COMPUTATIONAL PHYSICS

卷:347

Article

Kikinzon, Evgeny¹  Kuznetsov, Yuri²  Lipnikov, Konstatin¹  Shashkov, Mikhail³ 

[1] Los Alamos Natl Lab, Appl Math & Plasma Phys, T-5,MS B284, Los Alamos, NM 87545 USA

[2] Univ Houston, Dept Math, 641 PGH, Houston, TX 77204 USA

[3] Los Alamos Natl Lab, Methods & Algorithms, XCP 4,MS F644, Los Alamos, NM 87545 USA

关键词: Multi-material problems;    Diffusion equations;    Numerical methods for PDEs;   

DOI  :  10.1016/j.jcp.2017.06.048

来源: Elsevier

【 摘 要 】

In this paper, we describe a new algorithm for solving multi-material diffusion problem when material interfaces are not aligned with the mesh. In this case interface reconstruction methods are used to construct approximate representation of interfaces between materials. They produce so-called multi-material cells, in which materials are represented by material polygons that contain only one material. The reconstructed interface is not continuous between cells. We suggest the new method for solving multi-material diffusion problems on such meshes and compare its performance with known homogenization methods. Published by Elsevier Inc.

【 授权许可】

Free