COMPARATIVE STUDY OF WEIGHTED UPWIND AND SECOND ORDER UPWIND DIFFERENCE SCHEMES

Abstract

An extensive survey of difference schemes for approximating the advection terms in the conservation equations of fluid flow and heat transfer was conducted. In this study, two of these schemes, the weighted upwind and the second-order upwind difference schemes (WUDS and SOVDS, respectively), were tested by application to four problems, two of which have not previously been used. The problems involve two-dimensional forced and mixed convection and the predictions were compared with experimental data andlor analytical solutions. The results concur with previous findings and indicate that the SOUDS produces less numerical diffusion than the WUDS and gives predictions in closer agreement with the analytical or experimental data.

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Notes on contributors

Yousef H. Zurigat

Yousef H. Zurigafs present address is ESM Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061.