Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces

JOURNAL OF COMPUTATIONAL PHYSICS

卷:376

Article

Bochkov, Daniil¹  Gibou, Frederic^1,2 

[1] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

[2] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA

关键词: Poisson;    Irregular domains;    Level-set;    Robin boundary conditions;   

DOI  :  10.1016/j.jcp.2018.10.020

来源: Elsevier

【 摘 要 】

We present two finite volume schemes to solve a class of Poisson-type equations subject to Robin boundary conditions in irregular domains with piecewise smooth boundaries. The first scheme results in a symmetric linear system and produces second-order accurate numerical solutions with first-order accurate gradients in the L-infinity-norm (for solutions with two bounded derivatives). The second scheme is nonsymmetric but produces second-order accurate numerical solutions as well as second-order accurate gradients in the L-infinity-norm (for solutions with three bounded derivatives). Numerical examples are given in two and three spatial dimensions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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