| 欧拉-拉格朗日分裂方法在数值求解Navier-Stokes方程中的应用 |
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| 引用本文： | 唐登海,忻孝康.欧拉-拉格朗日分裂方法在数值求解Navier-Stokes方程中的应用[J].水动力学研究与进展(A辑),1991(1). |
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| 作者姓名： | 唐登海 忻孝康 |
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| 作者单位： | 复旦大学应用力学系
(唐登海)，复旦大学应用力学系(忻孝康) |
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| 摘 要： | 本文在1,2]的基础上,详细地讨论了欧拉—拉格朗日分裂方法(E-L)在数值求解二维不可压缩Navier-Stokes方程中的应用。计算结果表明,该方法具有较好的精度和数值稳定性,且不依赖于区域形状。文中对典型的二维腔体内流动(方腔和环形腔体)进行了祖网格的计算,通过与虚拟流动的精确解、其它格式的数值解和实验结果进行比较表明,E-L分裂方法在求解N-S方程时不仅是可行的而且是很有效的,对高雷诺数流动特别是这样。
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| 关 键 词： | Navier-Stokes方程 欧拉-拉格朗日分裂方法 |
Eulerian-Lagrangian Splitting Method for Navier-Stokes Equations |
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| Tang Deng-hai Xin Xiao-kang.Eulerian-Lagrangian Splitting Method for Navier-Stokes Equations[J].Journal of Hydrodynamics,1991(1). |
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| Authors: | Tang Deng-hai Xin Xiao-kang |
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| Abstract: | Applications of the Eulerian-Lagrangian splitting method to Navier-Stokes equations of incompressible flow in the vorticity-stream function form are presented in this paper. The method is not re'stricted by the geometry of the domain and has higher numerical accuracy and stability. Three typical examples about the cavity flows are studied. Detailed Comparisons with exact solutions of a fictitious flow, other numerical results and experimental data are carried out in order to demonstrate the efficiency and accuracy of the E.-L. method. |
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| Keywords: | Navier-Stokes equation Eulerian-Lagrangian splitting method |
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