Accurate and stable grid interfaces for finite volume methods

被引：7
作者：
Ferm, L [1 ]
Lötstedt, P [1 ]
机构：
[1] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden
来源：
APPLIED NUMERICAL MATHEMATICS | 2004年 / 49卷 / 02期
关键词：
finite volume method; second order accuracy; stability; grid refinement;
D O I：
10.1016/j.apnum.2003.07.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A convection-diffusion equation is discretized by a finite volume method in two space dimensions. The grid is partitioned into blocks with jumps in the grid size at the block interfaces. Interpolation in the cells adjacent to the interfaces is necessary to be able to apply the difference stencils. Second order accuracy is achieved and the stability of the discretizations is investigated. The interface treatment is tested in the solution of the compressible Navier-Stokes equations. The conclusions from the scalar equation are valid also for these equations. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：207 / 224
页数：18
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