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

被引：52
|
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
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 08期
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 50 条
  • [1] Discontinuous spectral difference method for conservation laws on unstructured grids
    Liu, Yen
    Vinokur, Marcel
    Wang, Z. J.
    [J]. COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS, 2006, : 449 - +
  • [2] Spectral difference method for unstructured grids I: Basic formulation
    Liu, Yen
    Vinokur, Marcel
    Wang, Z. J.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (02) : 780 - 801
  • [3] THE SPECTRAL-DIFFERENCE METHOD FOR COMPRESSIBLE FLOW
    GUO, BY
    HUANG, W
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 11 (01) : 37 - 49
  • [4] Spectral difference method for unstructured grids II: Extension to the Euler equations
    Wang, Z. J.
    Liu, Yen
    May, Georg
    Jameson, Antony
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2007, 32 (01) : 45 - 71
  • [5] An Arbitrarily High-order Spectral Difference Method with Divergence Cleaning (SDDC) for Compressible Magnetohydrodynamic Simulations on Unstructured Grids
    Chen, Kuangxu
    Liang, Chunlei
    [J]. ASTROPHYSICAL JOURNAL, 2022, 932 (01):
  • [6] A high-order spectral difference method for unstructured dynamic grids
    Yu, M. L.
    Wang, Z. J.
    Hu, H.
    [J]. COMPUTERS & FLUIDS, 2011, 48 (01) : 84 - 97
  • [7] Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations
    Z. J. Wang
    Yen Liu
    Georg May
    Antony Jameson
    [J]. Journal of Scientific Computing, 2007, 32 : 45 - 71
  • [8] Implementation of spectral difference method on overset grids for compressible inviscid flows
    Yang, Liu
    Yang, Aiming
    [J]. COMPUTERS & FLUIDS, 2016, 140 : 500 - 511
  • [9] A heterogeneous hybrid-precision finite volume method for compressible flow on unstructured grids
    [J]. Chen, Long (lchen@nuaa.edu.cn), 2025, 288
  • [10] A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes
    Li, Mao
    Qiu, Zihua
    Liang, Chunlei
    Sprague, Michael
    Xu, Min
    Garris, Charles A.
    [J]. COMPUTERS & FLUIDS, 2019, 184 : 187 - 198
12345