Higher-Order Flux-Limiting Schemes for the Finite Volume Computation of Incompressible Flow |
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| Authors: | M ZIJLEMA P WESSELING |
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| Institution: | Faculty of Technical Mathematics and informatics, Delft University of Technology , P.O. Box 5031, GA Delft, 2600, The Netherlands |
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| Abstract: | Numerical modelling of convection suitable for cell-centred finite volume methods for incompressible flow is considered. Higher-order accurate and oscillation-free solutions are obtained through flux limiting, Two improvements are discussed: the enhancement of accuracy at smooth extrema of the TVD solution, and the construction of flux limiters, which is based on polynomial interpolants in the normalized variable space. Some implementation issues are outlined. Numerical examples are provided to illustrate these advancements. |
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| Keywords: | Incompressible flow finite volume TVD flux limiters high-order accuracy |
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