Third-order accurate finite volume schemes for Euler computations on curvilinear meshes

被引：29

作者：

Rezgui, A ^{[1
]}

Cinnella, P ^{[1
]}

Lerat, A ^{[1
]}

机构：

[1] Ecole Natl Super Arts & Metiers, SINUMEF Lab, F-75013 Paris, France

来源：

COMPUTERS & FLUIDS | 2001年 / 30卷 / 7-8期

关键词：

finite volumes; Euler equations; third-order accuracy;

D O I：

10.1016/S0045-7930(01)00033-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

After looking for a convenient definition of accuracy for finite-volume schemes on structured meshes, a high-order accurate scheme is constructed for the Euler equations. Thanks to suitably weighted discretization operators, the proposed scheme is third-order on mildly deformed grids and second-order on highly deformed grids. The influence of mesh deformations on the scheme accuracy is studied theoretically and numerically. Numerical results are shown for a Lamb vortex, subsonic flow past a cylinder and transonic flow past a NACA0012 airfoil. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：875 / 901

页数：27

共 25 条

[1]

ABGRALL R, 1995, J COMP PHYS, V114, P54

[2]

CINNELLA P, 1998, ACCURATE SIMULATION, P326

[3]

CINNELLA P, 2000, COMPUT FLUID DYNAM J, V9, P1

[4]

CINNELLA P, 1999, THESIS ENSAM PARIS F

[5]

CORRE C, 1996, COMPUT FLUID DYNAM J, V5, P213

[6]

EYMARD R, 1999, HDB NUMERICAL ANAL

[7] A CONTROL VOLUME METHOD TO SOLVE AN ELLIPTIC EQUATION ON A 2-DIMENSIONAL IRREGULAR MESH [J].

FAILLE, I .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 100 (02) :275-290

[8]

Godunov SK., 1959, MAT SBORNIK, V89, P271

[9]

HARTEN A, 1987, J COMPUT PHYS, V71, P231, DOI [10.1016/0021-9991(87)90031-3, 10.1006/jcph.1996.5632]

[10]

HUANG Y, 1998, P NUM METH FLUID DYN, V6, P355

← 1 2 3 →