ASSESSMENT OF HIGHER-ORDER UPWIND SCHEMES INCORPORATING FCT FOR CONVECTION-DOMINATEDPROBLEMS
- 1 January 1995
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 27 (1) , 1-21
- https://doi.org/10.1080/10407799508914944
Abstract
A new generalized formulation is suggested for four-point discretization schemes on nonuniform grids. The central difference scheme, the QUICK scheme, and the second-order upwind scheme fall into this formulation. A second-order hybrid scheme is also presented on nonuniform grids. The unbounded behavior of the generalized formulation is examined. A flux-corrected transport algorithm is then applied to the above four schemes on a uniform grid. Four two-dimensional convection-dominated problems are used to test the schemes. Incorporation of flux-corrected transport (FCT) into the high-order schemes improves the solution accuracy greatly. The unmodified multidimensional FCT limiter is found to be unable to completely suppress the small-scale oscillation of a velocity component which has discontinuities in a direction normal to the advection.Keywords
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