不可压Stokes方程数值计算的无网格方法  

The meshfree method for incompressible Stokes equations

作　　者：倪先桦[1] 张伟[1] 

机构地区：[1]西北工业大学理学院,陕西西安710129

出　　处：《纺织高校基础科学学报》2010年第1期62-66,共5页Basic Sciences Journal of Textile Universities

摘　　要：针对应用标准无网格方法求解不可压缩Stokes方程时压力会产生剧烈的数值伪振荡,给出一种消除压力伪振荡的无网格稳定化方法,并用其计算了2个不可压缩Stokes流动问题的经典算例.数值实验结果表明,此方法成功地消除了压力的数值伪振荡,验证了方法的有效性,且解的精度高、稳定性好,从而为无网格方法进一步模拟复杂流体流动问题提供了一种有效的思路.It is well known that the pressure field is likely to present spurious and oscillatory results when stand- ard mehsfree method is used for solving incompressible Stokes equations. The stabilization technique is proposed to overcome the instability issues in incompressible Stokes equations simulated by meshfree method in this paper. The method is applied to two typical problems of incompressible Stokes equations. Simulation results show that the method can successfully eliminate spurious oscillations of pressure distributions. Therefore, the validity and accuracy of this study are verified, and an effective measure for meshfree method to further simulate complex problems in fluid dynamics is provided.

关 键 词：无网格方法 稳定化 STOKES方程 

分 类 号：O242.1[理学—计算数学]