Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws

被引：0
|
作者：
Christov, Ivan [1 ]
Mishev, Ilya D. [2 ]
Popov, Bojan [3 ]
机构：
[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
[2] ExxonMobil Upstream Res Co, Houston, TX 77252 USA
[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2 | 2009年 / 67卷
关键词：
Finite volume method; Non-oscillatory reconstruction; Voronoi mesh; Two-phase immiscible incompressible flow; SCHEMES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the construction and convergence of high-resolution Godunov-type finite volume schemes for hyperbolic conservation laws on a class of unstructured polygonal meshes. In particular, we examine how reconstructions designed for unstructured triangulations can be extended to the more general Voronoi meshes. Finally, we apply the proposed high-resolution scheme to the equations of two-phase immiscible incompressible flow and ascertain the utility of the scheme for reservoir simulation.
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页码：507 / +
页数：2
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