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A multidimensional positive definite remapping algorithm for unstructured meshes

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journal contribution
posted on 27.01.2020, 14:30 by Joanna Szmelter, Mike Gillard
We 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 & Fluids

Volume

200

Publisher

Elsevier

Version

AM (Accepted Manuscript)

Rights holder

© Elsevier Ltd

Publisher 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

26/01/2020

Publication date

2020-01-27

Copyright date

2020

ISSN

0045-7930

Language

en

Depositor

Dr Mike Gillard. Deposit date: 27 January 2020

Article number

104454

Exports

Loughborough Publications

Exports