Meshfree method for the non-stationary incompressible Navier-Stokes equations

被引：0
|
作者：
Choe, HJ [1 ]
Kim, DW
Kim, Y
机构：
[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea
[2] Sunmoon Univ, Dept Math, Chungnam 336708, South Korea
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2006年 / 6卷 / 01期
关键词：
meshfree method; MLSRK; stokes equations; Navier-Stokes equations; Error estimate;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L-2-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.
引用
收藏
页码：17 / 39
页数：23
相关论文
共 50 条
  • [1] Meshless method for the stationary incompressible Navier-Stokes equations
    Choe, HJ
    Kim, DW
    Kim, HH
    Kim, Y
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2001, 1 (04): : 495 - 526
  • [2] Non-stationary helical flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 611 - 614
  • [3] On meshfree GFDM solvers for the incompressible Navier-Stokes equations
    Suchde, Pratik
    Kuhnert, Joerg
    Tiwari, Sudarshan
    [J]. COMPUTERS & FLUIDS, 2018, 165 : 1 - 12
  • [4] Non-stationary creeping flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    [J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2017, 61 : 154 - 159
  • [5] Regularity of solutions to non-stationary Navier-Stokes equations
    Amosova, E., V
    [J]. ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV - MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS, 2019, 1268
  • [6] ON THE STATIONARY, COMPRESSIBLE AND INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
    DEFRANCESCHI, A
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 149 : 217 - 236
  • [7] Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations
    Lin, P
    Chen, XQ
    Ong, MT
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2004, 46 (12) : 1169 - 1180
  • [8] A characteristic stabilized finite element method for the non-stationary Navier-Stokes equations
    Jia, Hongen
    Liu, Demin
    Li, Kaitai
    [J]. COMPUTING, 2011, 93 (01) : 65 - 87
  • [9] Non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (07) : 1392 - 1404
  • [10] On a new type of non-stationary helical flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey, V
    Shamin, Roman, V
    Giniyatullin, Ayrat R.
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2020, 32 (01) : 459 - 467
12345