Spectral difference method for compressible flow on unstructured grids with mixed elements

被引:56
作者
Liang, Chunlei [1 ]
Jameson, Antony [1 ]
Wang, Z. J. [2 ]
机构
[1] Stanford Univ, Stanford, CA 94305 USA
[2] Iowa State Univ, Dept Aerosp Engn, Ames, IA 50011 USA
基金
美国国家科学基金会;
关键词
Spectral difference method; Curved wall boundary; Unstructured grid; Mixed elements; CONSERVATION-LAWS; BASIC FORMULATION; EULER EQUATIONS; VOLUME METHOD; EXTENSION;
D O I
10.1016/j.jcp.2008.12.038
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents the development of a 2D solver for inviscid and viscous compressible flows using the spectral difference (SD) method for unstructured grids with mixed elements. A mixed quadrilateral and triangular grid is first refined using one-level h-refinement to generate a quadrilateral grid while keeping the curvature of boundary edges. The SD method designed for quadrilateral meshes can subsequently be applied for the refined unstructured grid. Results obtained with the SD method for both inviscid and viscous compressible flows compare well with analytical solutions and other published results. Published by Elsevier Inc.
引用
收藏
页码:2847 / 2858
页数:12
相关论文
共 21 条
[1]   High-order accurate discontinuous finite element solution of the 2D Euler equations [J].
Bassi, F ;
Rebay, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 138 (02) :251-285
[2]   The Runge-Kutta discontinuous Galerkin method for conservation laws V - Multidimensional systems [J].
Cockburn, B ;
Shu, CW .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 141 (02) :199-224
[3]  
FLORES J, 1985, 9 INT C NUM METH FLU, V218, P213
[4]  
Huang PG, 2005, 20055255 AIAA
[5]  
Huynh H, 2007, AIAA20074079
[6]   A conservative staggered-grid chebyshev multidomain method for compressible flows .2. A semi-structured method [J].
Kopriva, DA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 128 (02) :475-488
[7]   A p-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids [J].
Liang, C. ;
Kannan, R. ;
Wang, Z. J. .
COMPUTERS & FLUIDS, 2009, 38 (02) :254-265
[8]  
LIANG C, 2009, COMPUTERS S IN PRESS
[9]  
Liang C., 2009, 47 AIAA AER SCI M
[10]   Spectral difference method for unstructured grids I: Basic formulation [J].
Liu, Yen ;
Vinokur, Marcel ;
Wang, Z. J. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (02) :780-801