基于局部DQ-RBF不可压缩N-S方程的数值求解  

Numerical solution of incompressible Navier-Stokes equations by local radial basis function-based differential quadrature method

作　　者：孙丹[1] 杨建刚[1] 

机构地区：[1]东南大学火电机组振动国家工程研究中心,南京210096

出　　处：《计算力学学报》2011年第2期221-225,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50875045)资助项目

摘　　要：以RBF作为DQ方法的基函数,将迎风机制引入DQ-RBF中,建立了二维不可压缩黏性N-S方程数值求解模型,采用Levenberg-Marquardt算法求解非线性方程组。求解时分析了形状参数对求解精度的影响,改进了边界速度的处理方法。对平板Couette流及有限宽台阶绕流流动问题进行了数值求解。比较了本文方法和FLU-ENT软件计算结果,指出该方法可以用于求解不可压缩N-S方程。Numerical solution of incompressible Navier-Stokes equations by local radial basis function-based differential method was set up.The upwind method was brought into the local radial basis function-based differential method.The non-linear equations were solved using the Levenberg-Marquardt method.The influence of shape parameter on the accuracy of the new method was analyzed.The treatment of the boundary condition was improved.The proposed scheme is validated by its application to simulate the couette flow and the finite width step flow.The obtained numerical results with the method agrees well with those obtained using the Fluent package.

关 键 词：局部微分求积法 径向基函数 迎风机制 NAVIER-STOKES方程 

分 类 号：O357.1[理学—流体力学]