Flux corrected remapping using piecewise parabolic reconstruction for 2D cell-centered ALE methods

SummaryA 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 s...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2014-11, Vol.76 (9), p.575-586
Main Authors: Velechovsky, J., Breil, J., Liska, R.
Format: Article
Language:English
Subjects:
ALE
Computational fluid dynamics
Density
Fluid flow
Flux
Internal energy
Interpolation
Mathematical models
parabolic reconstruction
remapping
Two dimensional
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Summary:SummaryA 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. A novel conservative interpolation method, in the Arbitrary Lagrangian‐Eulerian context for numerical solution of Euler equations on unstructured polygonal grids, is presented. The positivity of density and specific internal energy is guaranteed. The complete description of the method and both cyclic remapping and full hydrodynamic two‐dimensional numerical examples are given.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.3951