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Download fileA multidimensional positive definite remapping algorithm for unstructured meshes
journal contribution
posted on 2020-01-27, 14:30 authored by Joanna SzmelterJoanna Szmelter, Mike GillardWe report on developments of a second-order, conservative, sign-preserving remapping scheme for Arbitrary Lagrangian-Eulerian (ALE) methods operating on unstructured meshes. The remapping uses concepts of the Multidimensional Positive Definite Advection Transport Algorithm (MPDATA).
The non-oscillatory infinite gauge option of MPDATA remapping is derived in volume coordinates and is based upon a general and compact edge-based data structure, developed for use within an arbitrary finite volume framework. A Flux Corrected Transport style of limiting ensures monotonicity preservation, while the construction of volume coordinates utilises median dual polygonal finite volume cells.
Theoretical developments are supported by numerical testing involving idealised cases with prescribed mesh movement for advection of scalars. The numerical investigations include an asymptotic mesh convergence study and comparisons with both MPDATA and Van Leer MUSCL remapping schemes operating on Cartesian meshes. The results demonstrate that the proposed scheme is suitable for providing accurate ALE remapping for unstructured meshes.
Funding
Atomic Weapons Establishment (AWE), Aldermaston
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
Computers & FluidsVolume
200Publisher
ElsevierVersion
- AM (Accepted Manuscript)
Rights holder
© Elsevier LtdPublisher statement
This paper was accepted for publication in the journal Computers & Fluids and the definitive published version is available at https://doi.org/10.1016/j.compfluid.2020.104454.Acceptance date
2020-01-26Publication date
2020-01-27Copyright date
2020ISSN
0045-7930Publisher version
Language
- en