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Essential consistency of pressure Poisson equation method and projection method on staggered grids

Essential consistency of pressure Poisson equation method and projection method on staggered grids
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摘要 A new pressure Poisson equation method with viscous terms is established on staggered grids. The derivations show that the newly established pressure equation has the identical equation form in the projection method. The results show that the two methods have the same velocity and pressure values except slight differences in the CPU time. A new pressure Poisson equation method with viscous terms is established on staggered grids. The derivations show that the newly established pressure equation has the identical equation form in the projection method. The results show that the two methods have the same velocity and pressure values except slight differences in the CPU time.
作者 王艺
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第6期789-794,共6页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 50876114)
关键词 pressure Poisson equation projection method numerical analysis staggeredgrid computational fluid dynamics pressure Poisson equation, projection method, numerical analysis, staggeredgrid, computational fluid dynamics
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参考文献6

  • 1Abdallah, S. Numerical solutions for the pressure Poisson equation with Neumann boundary conditions using a non-staggered grid, I. Journal of Computational Physics, 70, 182-192 (1987).
  • 2Tao, W. Q. Numerical Heat Transfer (in Chinese), 2nd ed., Xi'an Jiaotong University Press, Xi'an (2002).
  • 3Tao, W. Q. Recent Advances of Numerical Heat Transfer (in Chinese), Science Press, Beijing (2005).
  • 4Harlow, F. H. and Welch, J. E. Numerical calculations of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids, 8, 2182-2189 (1965).
  • 5Roache, P. J. Computational Fluid Dynamics, Hermosa Publishers, Albuquerque (1976).
  • 6Abdallah, S. Numerical solutions for the incompressible Navier-Stokes equations in primitive vari- ables using a non-staggered grid, II. Journal of Computational Physics, 70, 193-202 (1987).

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