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Flux corrected remapping using piecewise parabolic reconstruction for 2D cell‐centered ALE methods
Author(s) -
Velechovsky J.,
Breil J.,
Liska R.
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3951
Subject(s) - interpolation (computer graphics) , eulerian path , piecewise , euler's formula , mathematics , context (archaeology) , quadratic equation , simple (philosophy) , euler equations , symmetry (geometry) , flux (metallurgy) , mathematical analysis , algorithm , geometry , physics , classical mechanics , lagrangian , motion (physics) , paleontology , philosophy , materials science , epistemology , metallurgy , biology
Summary A novel conservative interpolation (remapping) method, in the Arbitrary Lagrangian–Eulerian context for numerical solution of Euler equations on unstructured polygonal grids, is presented. Combination of a piecewise quadratic reconstruction and a flux corrected remapping approach provides a simple, symmetry‐preserving and bounds‐preserving method. The positivity of density and specific internal energy is guaranteed. The complete description of the method and both cyclic remapping and full hydrodynamic 2D numerical examples are given. Copyright © 2014 John Wiley & Sons, Ltd.