Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity

Adam, A., Pavlidis, D., Percival, J. R., Salinas, P., Xie, Z. ORCID: https://orcid.org/0000-0002-5180-8427, Fang, F., Pain, C. C., Muggeridge, A. H. and Jackson, M. D. 2016. Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity. Journal of Computational Physics 321 , pp. 512-531. 10.1016/j.jcp.2016.05.058

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Abstract

A general, higher-order, conservative and bounded interpolation for the dynamic and adaptive meshing of control-volume fields dual to continuous and discontinuous finite element representations is presented. Existing techniques such as node-wise interpolation are not conservative and do not readily generalise to discontinuous fields, whilst conservative methods such as Grandy interpolation are often too diffusive. The new method uses control-volume Galerkin projection to interpolate between control-volume fields. Bounded solutions are ensured by using a post-interpolation diffusive correction. Example applications of the method to interface capturing during advection and also to the modelling of multiphase porous media flow are presented to demonstrate the generality and robustness of the approach.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TC Hydraulic engineering. Ocean engineering
Uncontrolled Keywords:	Mesh adaptivity; Mesh-to-mesh interpolation; Galerkin projection; Conservative; Interface capturing; Viscous fingering
Additional Information:	This is an open access article under the terms of the CC-BY Attribution 4.0 International license.
Publisher:	Elsevier
ISSN:	0021-9991
Funders:	Engineering and Physical Sciences Research Council (EPSRC)
Date of First Compliant Deposit:	2 February 2017
Date of Acceptance:	27 May 2016
Last Modified:	05 May 2023 12:44
URI:	https://orca.cardiff.ac.uk/id/eprint/97690

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