Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity
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Published version
Accepted version
Author(s)
Type
Journal Article
Abstract
© 2016 .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.
Date Issued
2016-05-31
Online Publication Date
2016-05-31
Date Acceptance
2016-05-27
ISSN
1090-2716
Publisher
Elsevier
Start Page
512
End Page
531
Journal / Book Title
Journal of Computational Physics
Volume
321
Copyright Statement
Creative Commons Attribution 4.0 International (CC BY 4.0)
Source Database
manual-entry
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Total E&P UK Limited
Exxon Mobil Upstream Research Company
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Grant Number
EP/I003010/1
Contract Number: 4300002692
EM08154
EP/K003976/1
603663
Subjects
Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status
Published