| 应用两步隐式算法求解Navier-Stokes方程 |
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| 引用本文： | 叶坚,单芳芳.应用两步隐式算法求解Navier-Stokes方程[J].计算物理,1993,10(4):502-506. |
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| 作者姓名： | 叶坚 单芳芳 |
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| 作者单位： | 南京水利科学研究院, 南京 210029 |
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| 摘 要： | 本文提出一种隐式分步算法求解流体的运动方程。研究证明,SIMPLEC算法是这种算法的特例。通过两组层流算例的计算表明,改变加权隐式系数α可以明显加快计算的收敛速度。
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| 关 键 词： | 分步法 压力修正法 Navier-stokes方程 加权隐式系数 |
| 收稿时间： | 1992-04-06 |
| 修稿时间： | 1993-01-15 |
A TWO-STEP IMPLICIT SCHEME FOR THE NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS |
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| Ye Jian,Shan Fangfang.A TWO-STEP IMPLICIT SCHEME FOR THE NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS[J].Chinese Journal of Computational Physics,1993,10(4):502-506. |
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| Authors: | Ye Jian Shan Fangfang |
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| Institution: | Nanjing Hydraulic Research Institute, Nanjing 210029 |
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| Abstract: | The purpose of this paper is to introduce a new implicit fractional step altorighm of two processes for the calculation of the transport equations of fluid flows i.e., the convection-diffusion process and propagation process.It is found that the second step of the propagation process in the present method resembles the velocity-pressure correction procedure in the SIMPLE-like methods, and the SIMPLEC algorithm is a special case of the proposed method. Two numerical examples of laminar flows show that the rate of convergence can be significantly improved by the change of the optimal coefficient α. |
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| Keywords: | fractional step method pressure-correction algorithm Navier-Stokes equations implicit-explicit weighting factor |
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