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

doi:10.1007/s10483-011-1458-6

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

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

王艺

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

收稿日期:2010-06-04 修回日期:2011-04-09 出版日期:2011-06-01 发布日期:2011-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (No. 50876114)

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

WANG Yi

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)

摘要/Abstract

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.

关键词: pressure Poisson equation, projection method, numerical analysis, staggered grid, computational fluid dynamics

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

中图分类号:

65M12
76D05

王艺. Essential consistency of pressure Poisson equation method and projection method on staggered grids[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(6): 789-794.

WANG Yi. Essential consistency of pressure Poisson equation method and projection method on staggered grids[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(6): 789-794.

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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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