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

• DOI: 10.1016/j.jcp.2024.112819
• Publication Date: 2024-02-02T02:30:04Z
• Authors: Vadim Maltsev; Martin Skote; Panagiotis Tsouts...
• Keywords: Classification of discontinuities; Spurious relationship; Compressible flow; Interface (matter)

In 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 smooth flow regions thanks DG discretisation, yet avoiding oscillations at material interfaces shocks a FV type reconstruction. This strategy, as typically represented literature, makes use so-called troubled cell indicators detection generated by an unlimited high-order presence discontinuities, enables more dissipative cells only suppress spurious oscillations. As will be shown series increasingly challenging test-cases, when applied context diffuse-interface models, framework is able limit excessive interface dissipation, characteristic these interface-capturing methods, allowing same time control over amount dissipation necessary solve stiffer problems.