Spectral property comparison of fifth-order nonlinear WCNS and WENO difference schemes

被引：0
|
作者：
Tu, Guo-Hua [1 ,2 ]
Deng, Xiao-Gang [1 ,3 ]
Mao, Mei-Liang [1 ,4 ]
机构：
[1] State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China
[2] Science and Technology on Scramjet Laboratory, Hypervelocity Aerodynamics Institute of CARDC, Mianyang 621000, China
[3] National University of Defense Technology, Changsha 410073, China
[4] Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China
来源：
Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica | 2012年 / 30卷 / 06期
关键词：
Finite difference method - Dispersions - Quantum theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Approximate dispersion relation (ADR) may represent modified wave numbers of nonlinear schemes, and a numerical procedure is proposed to compute the ADR. The ADRs of the fifth-order nonlinear WENO5 and WCNS-E-5 finite difference schemes are compared with each other to show their spectral property. The results indicate that the dispersion error of the WCNS-E-5 is smaller than that of the WENO5, and the dissipation error of the WCNS-E-5 is also smaller than that of the WENO5. The whole spectral property of the WCNS-E-5 is better than that of the WENO5.
引用
收藏
页码：709 / 712
相关论文
共 50 条
  • [1] A fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws
    Lin, Yu
    Chen, Yaming
    Deng, Xiaogang
    COMPUTERS & FLUIDS, 2021, 221
  • [2] Solvability of a nonlinear fifth-order difference equation
    Stevic, Stevo
    Iricanin, Bratislav
    Kosmala, Witold
    Smarda, Zdenek
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (05) : 1687 - 1701
  • [3] An improved fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws
    Lin, Yu
    Chen, Yaming
    Deng, Xiaogang
    COMPUTERS & FLUIDS, 2023, 250
  • [4] Linear instability of the fifth-order WENO method
    Wang, Rong
    Spiteri, Raymond J.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (05) : 1871 - 1901
  • [5] On the Linear Stability of the Fifth-Order WENO Discretization
    Mohammad Motamed
    Colin B. Macdonald
    Steven J. Ruuth
    Journal of Scientific Computing, 2011, 47 : 127 - 149
  • [6] On the Linear Stability of the Fifth-Order WENO Discretization
    Motamed, Mohammad
    Macdonald, Colin B.
    Ruuth, Steven J.
    JOURNAL OF SCIENTIFIC COMPUTING, 2011, 47 (02) : 127 - 149
  • [7] Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
    El-Dessoky, M. M.
    Elabbasy, E. M.
    Asiri, Asim
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [8] FIFTH-ORDER A-WENO FINITE-DIFFERENCE SCHEMES BASED ON A NEW ADAPTIVE DIFFUSION CENTRAL NUMERICAL FLUX
    Wang, Bao-Shan
    Don, Wai Sun
    Garg, Naveen K.
    Kurganov, Alexander
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (06): : A3932 - A3956
  • [9] A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations
    Li, Xiaogang
    Li, Guodong
    Ge, Yongbin
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 13 (01) : 58 - 82
  • [10] ON A FIFTH-ORDER DIFFERENCE EQUATION
    Stevic, Stevo
    Diblik, Josef
    Iricanin, Bratislav
    Smarda, Zdenek
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (07) : 1214 - 1227
12345