Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING   SEPTEMBER 2003 , Volume 16 , Number 3 (TRANSACTIONS A: BASICS); Page(s) 269 To 278.
 
Paper: 

CALCULATION OF COMPLICATED FLOWS, USING FIRST AND SECOND-ORDER SCHEMES

 
 
Author(s):  GOUDARZI M.*, AZIMIAN A.R.
 
* Isfahan, Iran
 
Abstract: 
The first-order schemes used for discretisation of the convective terms are straightforward and easy to use, with the drawback of introducing numerical diffusion. Application of the second order schemes, such as QUICK scheme, is a treatment to reduce the numerical diffusion, but increasing convergence oscillation is unavoidable. The technique used in this study is a compromise between the above-mentioned problem, i.e. reducing the numerical and increasing the stability of the solution. This double folded task is achieved by introducing a modified second-order hybrid scheme. In addition to that by means of this formulation if is possible to show that the coefficients of the discredited equation at all neighboring points are positive and the value of a coefficient at a pole point is equal to the sum of its neighboring points, which means the two basic conditions defined by Patankara are satisfied. Therefore, this scheme has the benefits of the both first and second order schemes together. Results obtained by this scheme to predict the complicated flow regimes were promising and agreed well with experimental data.
 
Keyword(s): SECOND-ORDER HYBRID SCHEME, STABILITY, BOUNDEDNESS, NUMERICAL DIFFUSION, LAMINAR FLOWS
 
References: 
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