Abstract
The paper presents an effective procedure for approximating convective transport in steady-state flow conditions. The procedure combines three simple discretization schemes, that is, the second-order upwind, central and first-order upwind differencing, the switch between them being controlled by a convection boundedness criterion. The resultant composite scheme is stable, conservative and easy to implement for the simulation of multi-dimensional flows. Three test cases, two linear and one nonlinear, are used to assess the performance of the method, and comparisons are made with QUICK and the first-order upwind scheme. The test problem results demonstrate that the present scheme strictly preserves the boundedness of solutions while maintaining low dispersion of steep gradients, and it is applicable to both linear and nonlinear problems.
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