A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier-Stokes and Euler Equations on Unstructured Meshes

被引：3

作者：

Costa, Ricardo ^{[1
,2
]}

Clain, Stephane ^{[2
]}

Machado, Gaspar J. ^{[2
]}

Loubere, Raphael ^{[1
]}

机构：

[1] Univ Paul Sabatier, Inst Math Toulouse, F-31062 Toulouse, France

[2] Univ Minho, Ctr Matemat, Campus Azurem, P-4800058 Guimaraes, Portugal

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2017年 / 71卷 / 03期

关键词：

Finite volume method; High-order scheme; Polynomial reconstruction; Navier-Stokes equations; Euler equations; Fixed-point algorithm; CONVECTION-DIFFUSION PROBLEM; MOVING LEAST-SQUARES; DIFFERENCE SCHEMES; FLOW;

D O I：

10.1007/s10915-016-0348-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a sixth-order staggered finite volume scheme based on polynomial reconstructions to achieve high accurate numerical solutions for the incompressible Navier-Stokes and Euler equations. The scheme is equipped with a fixed-point algorithm with solution relaxation to speed-up the convergence and reduce the computation time. Numerical tests are provided to assess the effectiveness of the method to achieve up to sixth-order convergence rates. Simulations for the benchmark lid-driven cavity problem are also provided to highlight the benefit of the proposed high-order scheme.

引用

页码：1375 / 1411

页数：37

共 41 条

[1] HIGHLY ACCURATE COMPACT IMPLICIT METHODS AND BOUNDARY-CONDITIONS [J].