Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm
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.
KeywordsExplicit Scheme Flux Correction Defect Correction Discrete Maximum Principle Consistent Mass Matrix
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