不可压粘流N-S方程的边界积分解法 |
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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,1996,28(2):225-232. |
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作者姓名: | 陆志良 杨生 |
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作者单位: | 南京航空航天大学六系 |
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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.
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关 键 词: | 边界积分 N-S方程 不可压流 粘性流 |
THE BOUNDARY INTEGRAL METHOD FOR INCOMPRESSIBLE VISCOUS NAIER-STOKES EQUATION |
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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 de... |
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Keywords: | boundary integral method Navier-Stokes equation incompressible flow |
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