| Navier-Stokes方程的线性化微分求积法 |
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| 引用本文： | 李晨,吴雄华.Navier-Stokes方程的线性化微分求积法[J].计算物理,2006,23(1):10-18. |
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| 作者姓名： | 李晨 吴雄华 |
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| 作者单位： | 同济大学应用数学系, 上海 200092 |
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| 摘 要： | 提出一种新的线性化微分求积法(LDQM),将这种目的应用到流函数和涡量形式的Navier-Stokes方程.通过LDQM,非线性方程很容易被解出来,并且容易处理压力的边界条件.为检验本目的,计算了两个数值算例.
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| 关 键 词： | Navier-Stokes方程 微分求积法 线性化方法 |
| 文章编号： | 1001-246X（2006）01-0010-09 |
| 收稿时间： | 2004-07-20 |
| 修稿时间： | 2005-03-15 |
A Linearized Differential Quadrature Method for Navier-Stokes Equations in the Stream-function and Vorticity Form |
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| LI Chen,WU Xiong-hua.A Linearized Differential Quadrature Method for Navier-Stokes Equations in the Stream-function and Vorticity Form[J].Chinese Journal of Computational Physics,2006,23(1):10-18. |
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| Authors: | LI Chen WU Xiong-hua |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | A new linearized differential quadrature method(LDQM) is applied to the unsteady Navier-Stokes equations in the stream-function and vorticity form. With LDQM nonlinear equations are solved easily. And the boundary conditions of ω can be expressed as a function of ψ. To verify the method, three examples are treated. Numerical results show that the method is of high accuracy and good convergence. |
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| Keywords: | Navier-Stokes equation differential quadrature method linearized |
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