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

被引：29

作者：

Bochkov, Daniil ^{[1
]}

Gibou, Frederic ^{[1
,2
]}

机构：

[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

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2019年 / 376卷 / 1156-1198期

关键词：

Poisson; Irregular domains; Level-set; Robin boundary conditions; FRONT-TRACKING METHOD; ORDER NUMERICAL-METHODS; FINITE-DIFFERENCE METHODS; DELTA-FUNCTION INTEGRALS; NAVIER-STOKES EQUATIONS; LEVEL SET APPROACH; IRREGULAR DOMAINS; IMPLICIT GEOMETRIES; CARTESIAN GRIDS; HEAT-EQUATIONS;

D O I：

10.1016/j.jcp.2018.10.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

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.

引用

页码：1156 / 1198

页数：43

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