Quadrature-free spline method for two-dimensional Navier-Stokes equation

被引:0
|
作者
HU Xian-liang HAN Dan-fu Dept.of Math.
机构
关键词
quadrature-free; spline method; Navier-Stokes equation;
D O I
暂无
中图分类号
O241.8 [微分方程、积分方程的数值解法];
学科分类号
070102 ;
摘要
In this paper,a quadrature-free scheme of spline method for two-dimensional Navier- Stokes equation is derived,which can dramatically improve the efficiency of spline method for fluid problems proposed by Lai and Wenston(2004).Additionally,the explicit formulation for boundary condition with up to second order derivatives is presented.The numerical simulations on several benchmark problems show that the scheme is very efficient.
引用
收藏
页码:31 / 42
页数:12
相关论文
共 50 条
  • [41] A Two-Dimensional Navier-Stokes Code on Parallel PCs
    Mawlood, Mahmood Khalid
    [J]. 2012 FIRST NATIONAL CONFERENCE FOR ENGINEERING SCIENCES (FNCES), 2012,
  • [42] On the two-dimensional compressible isentropic Navier-Stokes equations
    Giacomoni, C
    Orenga, P
    [J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2002, 36 (06): : 1091 - 1109
  • [43] A Five-Dimensional System of Navier-Stokes Equation for a Two-Dimensional Incompressible Fluid on a Torus
    Wang Heyuan
    Li Kaitai
    [J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2016, 29 (04): : 255 - 268
  • [44] Turnpike Property for Two-Dimensional Navier-Stokes Equations
    Zamorano, Sebastian
    [J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 20 (03) : 869 - 888
  • [45] Two-Dimensional Navier-Stokes Turbulence in Bounded Domains
    Clercx, H. J. H.
    van Heijst, G. J. F.
    [J]. APPLIED MECHANICS REVIEWS, 2009, 62 (02) : 1 - 25
  • [46] On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier-Stokes Equations
    Fernandez-Cara, Enrique
    Munch, Arnaud
    Souza, Diego A.
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2017, 70 (02) : 819 - 858
  • [47] Two-dimensional "poor man's Navier-Stokes equation" model of turbulent flows
    Yang, TL
    McDonough, JM
    Jacob, JD
    [J]. AIAA JOURNAL, 2003, 41 (09) : 1690 - 1696
  • [48] Quadrature-Free Non-Oscillation Finite Volume Scheme for Solving Navier-Stokes Equations on Unstructured grids
    Li, W. A.
    Ren, Y. X.
    [J]. RECENT PROGRESSES IN FLUID DYNAMICS RESEARCH - PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON FLUID MECHANICS, 2011, 1376
  • [49] A Discrete Data Assimilation Scheme for the Solution of the Two-Dimensional Navier-Stokes Equation and Their Staistics
    Foias, Ciprian
    Mondaini, Cecilia F.
    Titi, Edriss S.
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2016, 15 (04): : 2109 - 2142
  • [50] On Kato's conditions for the inviscid limit of the two-dimensional stochastic Navier-Stokes equation
    Wang, Ya-guang
    Zhao, Meng
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (08)