Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (6): 789-794.doi: https://doi.org/10.1007/s10483-011-1458-6

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

 WANG Yi   

  1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102249, P. R. China
  • Received:2010-06-04 Revised:2011-04-09 Online:2011-06-01 Published:2011-06-01
  • Supported by:

    Project supported by the National Natural Science Foundation of China (No. 50876114)

Abstract: 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.

Key words: pressure Poisson equation, projection method, numerical analysis, staggered grid, computational fluid dynamics

2010 MSC Number: 

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