Calculation of cell face velocity of non-staggered grid system

doi:10.1007/s10483-012-1600-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (8): 991-1000.doi: https://doi.org/10.1007/s10483-012-1600-6

Calculation of cell face velocity of non-staggered grid system

李旺¹, 宇波¹, 王欣然¹, 孙树瑜²

1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, P. R. China;
2. Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia

收稿日期:2011-11-28 修回日期:2012-03-31 出版日期:2012-08-10 发布日期:2012-08-10
通讯作者: Bo YU, Professor, Ph.D., E-mail: yubobox@cup.edu.cn E-mail:yubobox@cup.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51176204 and 51134006)

Calculation of cell face velocity of non-staggered grid system

Wang LI¹, Bo YU¹, Xin-ran WANG¹, Shu-yu SUN ²

1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, P. R. China;
2. Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia

Received:2011-11-28 Revised:2012-03-31 Online:2012-08-10 Published:2012-08-10
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51176204 and 51134006)

摘要/Abstract

摘要： In this paper, the cell face velocities in the discretization of the continu- ity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution.

关键词: differential equation of fourth order, Liapunov function, boundedness, uniform boundedness, collocated grid, staggered grid, momentum interpolation

Abstract: In this paper, the cell face velocities in the discretization of the continu- ity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution.

Key words: differential equation of fourth order, Liapunov function, boundedness, uniform boundedness, collocated grid, staggered grid, momentum interpolation

中图分类号:

O302
O357.1

李旺;宇波;王欣然;孙树瑜. Calculation of cell face velocity of non-staggered grid system[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 991-1000.

Wang LI;Bo YU;Xin-ran WANG;Shu-yu SUN . Calculation of cell face velocity of non-staggered grid system[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 991-1000.

参考文献

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Calculation of cell face velocity of non-staggered grid system

Calculation of cell face velocity of non-staggered grid system

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