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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:321

Article

Adam, A.^1,2  Pavlidis, D.¹  Percival, J. R.^1,2  Salinas, P.^1,2  Xie, Z.¹  Fang, F.¹  Pain, C. C.¹  Muggeridge, A. H.²  Jackson, M. D.² 

[1] Imperial Coll London, Dept Earth Sci & Engn, Appl Modelling & Computat Grp, Prince Consort Rd, London SW7 2BP, England

[2] Imperial Coll London, Dept Earth Sci & Engn, Novel Reservoir Modelling & Simulat Grp, Prince Consort Rd, London SW7 2BP, England

关键词: Mesh adaptivity;    Mesh-to-mesh interpolation;    Galerkin projection;    Conservative;    Interface capturing;    Viscous fingering;   

DOI  :  10.1016/j.jcp.2016.05.058

来源: Elsevier

【 摘 要 】

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. (C) 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license.

【 授权许可】

Free