MULTIDIMENSIONAL SINGLE-STEP VECTOR UPWIND SCHEMES FOR HIGHLY CONVECTIVE TRANSPORT PROBLEMS
- 1 June 1993
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 23 (4) , 425-460
- https://doi.org/10.1080/10407799308914910
Abstract
After a synthesis of existing numerical approaches, a family of single-step time-marching upwind schemes is proposed for the convective-diffusive balance of a scalar in multidimensional incompressible laminar flows. A functional description of the new approach is given too. The schemes are adequate to the simulation of purely or highly convective transport phenomena. The proposed schemes were applied to a scalar test problem (rotating hill) and the results evaluated after an analysis of the intrinsic limitations of test itself, A third-order, fully upwind-biased scheme of the family is applied to the lid-driven and thermally driven square cavity problems. In the lid-driven case a steady-state solution is not achieved at Re = 104.Keywords
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