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.
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页码：17 / 39
页数：23
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