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

Journal Article · Sat Jul 08 00:00:00 EDT 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2017.06.048· OSTI ID:1374334

Kikinzon, Evgeny  ^[1]; Kuznetsov, Yuri ^[2]; Lipnikov, Konstatin ^[1]; Shashkov, Mikhail ^[1]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
2. Univ. of Houston, TX (United States). Dept. of Mathematics

In this study, 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. Finally, we suggest the new method for solving multi-material diffusion problems on such meshes and compare its performance with known homogenization methods.

• Research Organization: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1374334
• Alternate ID(s): OSTI ID: 1550253
• Report Number(s): LA-UR-17-22479
• Journal Information: Journal of Computational Physics, Vol. 347; ISSN 0021-9991
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
36 MATERIALS SCIENCE
Multi-material problems
Diffusion equations
Numerical methods for PDEs