Third-Order Accurate Finite-Volume Method on a Triangular Grid

被引：1
|
作者：
Shirobokov, D. A. [1 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
finite-volume method; triangular grids; Navier-Stokes equations; compact schemes; flow around a cylinder; TRANSITION; CYLINDER; WAKE;
D O I：
10.1134/S0965542511100125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A third-order accurate finite-volume method on triangular grids is proposed for the numerical solution of conservation law systems. The method is described in detail as applied to the advection equation. The accuracy of its numerical solutions obtained on grids of various degrees of detail is compared. The viscous flow over a plate and the unsteady flow around a cylinder are solved. For comparison purposes, the latter problem is also solved using third- and fifth-order accurate compact approximations.
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页码：1805 / 1816
页数：12
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