交错网格上的压力Poisson方程法和抛射法的本质相容性

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基金项目: 国家自然科学基金资助项目(50876114)

Essential Consistency of Pressure Poisson Equation Method and Projection Method on Staggered Grid

Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102249, P. R. China

摘要: 通过保留压力Poisson方程源项中的粘性项，建立了交错网格上的一种求解压力Poisson方程的新方法．该方法的推导过程显示，新建立的压力方程与抛射法中的压力方程具有相同的形式．数值计算显示这两种求解压力的方法不会影响速度和压力的结果，而且计算耗时相当．
- 压力Poisson方程 /
- 抛射法 /
- 数值分析 /
- 计算流体力学 /
- 交错网格
Abstract: A new pressure Poisson equation method was established on staggered grid by keeping the viscous terms in the source of pressure Poisson equation.The derivations show that newly established pressure equation has the identical form of the equation in projection method.The results show that selection between the two methods does not affect velocity and pressure values,and CPU times have slight differences.
- pressure Poisson equation /
- projection method /
- numerical analysis /
- computational fluid dynamics /
- staggered grid

[1]	Abdallah S. Numerical solutions for the pressure Poisson equation with Neumann boundary conditions using a non-staggered grid (I)[J]. Journal of Computational Physics, 1987, 70(1): 182-192. doi: 10.1016/0021-9991(87)90008-8
[2]	陶文铨.数值传热学[M]. 第2版. 西安：西安交通大学出版社，2002. (TAO Wen-quan. Numerical Heat Transfer[M]. 2nd ed. Xi’an: Xi’an Jiaotong University Press, 2002. (in Chinese))
[3]	陶文铨.计算传热学的近代进展[M]. 北京：科学出版社, 2005. (TAO Wen-quan. Recent Advances of Numerical Heat Transfer[M]. Beijing: Science Press, 2005. (in Chinese))
[4]	Harlow F H, Welch J E. Numerical calculations of time-dependent viscous incompressible flow of fluid with free surface[J]. Physics of Fluids, 1965, 8: 2182-2189. doi: 10.1063/1.1761178
[5]	Roache P J. Computational Fluid Dynamics[M]. Albuquerque: Hermosa, 1976.
[6]	Abdallah S. Numerical solutions for the incompressible Navier-Stokes equations in primitive variables using a non-staggered grid [J]. Journal of Computational Physics, 1987, 70 (1): 193-202. doi: 10.1016/0021-9991(87)90009-X