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SPLINE METHOD OF FRACTIONAL STEPS IN NUMERICAL MODEL OF UNSTEADY NATURAL CONVECTION FLOW AT HIGH RAYLEIGH NUMBER

 

作者: Wang Pu,  

 

期刊: Numerical Heat Transfer  (Taylor Available online 1987)
卷期: Volume 11, issue 1  

页码: 95-108

 

ISSN:0149-5720

 

年代: 1987

 

DOI:10.1080/10407788708913544

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The unsteady natural convection flow in a square cavity at high Rayleigh numbers Ra = 107and 2 × 107, has been treated by using a spline method of fractional steps in each coordinate direction. The essential features of this method are that in each computation step the problem is treated as a one-dimensional case and in the implicit form, and only one tridiagonal matrix system is evaluated. In general, it is not necessary to evaluate the first and second derivatives, and additional boundary conditions are not required. Hence the computer time can be shortened and the storage requirement reduced. The technique represents an improvement over the spline-alternating direction implicit method. Numerical results have been obtained at high Rayleigh numbers. The main features of the transient flow from zero conditions are in good agreement with the theoretical predictions [1, 2]. The steady-state results have been compared with accurate solutions presented recently for Ra = 107.

 

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