Comments on Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

被引：0
|
作者：
张红娜 [1 ,2 ]
宇波 [1 ]
王艺 [1 ]
魏进家 [3 ]
李凤臣 [2 ]
机构：
[1] Beijing Key Laboratory of Urban Oil and Gas Distribution Technology,China University of Petroleum
[2] State Key Laboratory of Multiphase Flow in Power Engineering,Xi'an Jiaotong University
[3] School of Energy Science and Engineering, Harbin Institute of Technology
来源：
Applied Mathematics and Mechanics(English Edition) | 2009年 / 30卷 / 05期
基金：
中国国家自然科学基金;
关键词：
explicit compact difference scheme; conventional finite difference scheme; central difference scheme; upwind difference scheme;
D O I：
暂无
中图分类号：
TQ021.1 [流体力学过程及原理];
学科分类号：
081701 ; 081704 ;
摘要：
The explicit compact difference scheme,proposed in Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD by Lin et al.,published in Applied Mathematics and Mechanics(English Edition),2007,28(7),943-953,has the same performance as the conventional finite difference schemes.It is just another expression of the conventional finite difference schemes.The proposed expression does not have the advantages of a compact difference scheme.Nonetheless,we can more easily obtain and implement compared with the conventional expression in which the coeffcients can only be obtained by solving equations,especially for higher accurate schemes.
引用
收藏
页码：669 / 676
页数：8
相关论文
共 50 条
  • [21] A Three-point Coupled Compact Integrated RBF Scheme for Second-order Differential Problems
    Tien, C. M. T.
    Thai-Quang, N.
    Mai-Duy, N.
    Tran, C. -D.
    Tran-Cong, T.
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2015, 104 (06): : 425 - 469
  • [22] A three-point coupled compact integrated RBF scheme for second-order differential problems
    Tien, C.M.T.
    Thai-Quang, N.
    Mai-Duy, N.
    Tran, C.-D.
    Tran-Cong, T.
    [J]. CMES - Computer Modeling in Engineering and Sciences, 2015, 104 (06): : 425 - 469
  • [23] A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes
    Jha, Navnit
    Bieniasz, Leslaw K.
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2015, 64 (03) : 898 - 913
  • [24] A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes
    Navnit Jha
    Lesław K. Bieniasz
    [J]. Journal of Scientific Computing, 2015, 64 : 898 - 913
  • [25] Generalized three-point difference schemes of high order of accuracy for nonlinear ordinary differential equations of the second order
    Gnativ L.B.
    Kutniv M.V.
    Chukhrai A.I.
    [J]. Journal of Mathematical Sciences, 2010, 167 (1) : 62 - 75
  • [26] A Compact Explicit Difference Scheme of High Accuracy for Extended Boussinesq Equations
    周俊陶
    林建国
    谢志华
    [J]. China Ocean Engineering, 2007, (03) : 507 - 514
  • [27] A compact explicit difference scheme of high accuracy for extended Boussinesq equations
    Zhou Jun-Tao
    Lin Jian-Guo
    Xie Zhi-Hua
    [J]. CHINA OCEAN ENGINEERING, 2007, 21 (03) : 507 - 514
  • [28] A three-time-level explicit difference scheme of the second order of accuracy for parabolic equations
    Shvedov, AS
    [J]. MATHEMATICAL NOTES, 1996, 60 (5-6) : 562 - 568
  • [29] Exact Three-Point Scheme and Schemes of High Order of Accuracy for a Forth-Order Ordinary Differential Equation
    Prikazchikov, V.
    [J]. CYBERNETICS AND SYSTEMS ANALYSIS, 2020, 56 (04) : 566 - 576
  • [30] Exact Three-Point Scheme and Schemes of High Order of Accuracy for a Forth-Order Ordinary Differential Equation
    V. Prikazchikov
    [J]. Cybernetics and Systems Analysis, 2020, 56 : 566 - 576
12345