High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes

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dc.contributor.authorMaltsev, Vadim
dc.contributor.authorSkote, Martin
dc.contributor.authorTsoutsanis, Panagiotis
dc.date.accessioned2024-03-15T15:08:57Z
dc.date.available2024-03-15T15:08:57Z
dc.date.issued2024-02-06
dc.description.abstractIn this work we extend the hybrid Discontinuous Galerkin/ Finite Volume framework, introduced in V. Maltsev, D. Yuan, K. W. Jenkins, M. Skote, P. Tsoutsanis, “Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes, Journal of Computational Physics 473 (2023)” [1], to multi-species problems involving gas-gas and gas-liquid systems. The numerical scheme achieves high order accuracy in smooth flow regions thanks to the DG discretisation, yet avoiding oscillations at material interfaces and shocks thanks to a FV type reconstruction. This strategy, as typically represented in literature, makes use of the so-called troubled cell indicators for the detection of numerical oscillations generated by an unlimited high-order scheme in presence of discontinuities, and enables a more dissipative scheme in the troubled cells only in order to suppress the spurious oscillations. As will be shown in a series of increasingly challenging test-cases, when applied to multi-species flows in the context of diffuse-interface models, the hybrid framework is able to limit the excessive material interface dissipation, characteristic of these interface-capturing methods, allowing at the same time a control over the amount of dissipation necessary to solve stiffer problems.en_UK
dc.identifier.citationMaltsev V, Skote M, Tsoutsanis P. (2024) High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes. Journal of Computational Physics, Volume 502, April 2024, Article number 112819en_UK
dc.identifier.issn0021-9991
dc.identifier.urihttps://doi.org/10.1016/j.jcp.2024.112819
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/21010
dc.language.isoen_UKen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectHigh-order finite volumeen_UK
dc.subjectDiscontinuous-Galerkinen_UK
dc.subjectShock-capturingen_UK
dc.subjectMulti-species flowsen_UK
dc.subjectDiffuse-interfaceen_UK
dc.titleHigh-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshesen_UK
dc.typeArticleen_UK
dcterms.dateAccepted2024-01-27

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