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不可压粘流N-S方程的边界积分解法
引用本文:陆志良,杨生.不可压粘流N-S方程的边界积分解法[J].力学学报,1996(2).
作者姓名:陆志良  杨生
作者单位:南京航空航天大学六系
摘    要:对原变量的N-S方程进行一阶时间离散,采用共轭梯度法解除压强-速度的耦合.对所得的一系列Laplace方程、Possion方程和Helmhotz方程均进行边界积分法求解,首次得到了粘性N-S方程的边界积分表示式.圆柱的定常、非定常尾迹计算结果表明了本文方法的有效性.

关 键 词:边界积分解法,Navier-Sicks方程,不可压流

THE BOUNDARY INTEGRAL METHOD FOR INCOMPRESSIBLE VISCOUS NAIER-STOKES EQUATION
Lu Zhiliang,Yang Zuosheng.THE BOUNDARY INTEGRAL METHOD FOR INCOMPRESSIBLE VISCOUS NAIER-STOKES EQUATION[J].chinese journal of theoretical and applied mechanics,1996(2).
Authors:Lu Zhiliang  Yang Zuosheng
Abstract:The first-order time splitting method is used to discretize the Navier-Stokes equations with primitive variables and a conjugate gradient method is used to decouple the variables.The resulted Laplace equations, Possion equations and Helmhotz equations are solved by using Boundary Integral Method and thus a boundary integral formulation for viscous Navier-Stokes equation is established for the first time.The numerical results for the steady and unsteady viscous flow aroulld cylindical body show the method developed in this paper is efficient.
Keywords:boundary integral method  Navier-Stokes equation  incompressible flow  
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