A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries

被引:65
作者
Calhoun, D
LeVeque, RJ
机构
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
基金
美国国家科学基金会;
关键词
finite-volume; advection-diffusion; Cartesian grid; embedded boundary; high-resolution; software;
D O I
10.1006/jcph.1999.6369
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a fully conservative, high-resolution, finite volume algorithm for advection-diffusion equations in irregular geometries. The algorithm uses a Cartesian grid in which some cells are cut by the embedded boundary. A novel feature is the use of a "capacity function" to model the fact that some cells are only partially available to the fluid. The advection portion then uses the explicit wave-propagation methods implemented in CLAWPACK, and is stable for Courant numbers up to 1. Diffusion is modelled with an implicit finite-volume algorithm. Results are shown for several geometries. Convergence is verified and the 1-norm order of accuracy is found to between 1.2 and 2 depending on the geometry and Peclet number. Software is available on the web. (C) 2000 Academic Press.
引用
收藏
页码:143 / 180
页数:38
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