Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm

D. Kuzmin and S. Turek
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D. Kuzmin: University of Dortmund, Institute of Applied Mathematics (LS III)
S. Turek: University of Dortmund, Institute of Applied Mathematics (LS III)

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 133-143 from Springer

Abstract: Summary A new approach to flux correction for finite elements is presented. The low order transport operator is constructed from the discrete high-order operator by elimination of negative off-diagonal entries, so as to enforce the M-matrix property. The corresponding antidiffusive terms can be decomposed into a sum of internodal fluxes (rather than element contributions). In this way essentially one-dimensional flux correction tools can be applied on unstructured meshes. The proposed algorithm guarantees mass conservation and makes it possible to design both explicit and implicit FEM-FCT schemes based on a unified limiting procedure.

Keywords: Explicit Scheme; Flux Correction; Defect Correction; Discrete Maximum Principle; Consistent Mass Matrix (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_12

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DOI: 10.1007/978-88-470-2089-4_12

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