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Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows


Abgrall, Rémi; Bacigaluppi, Paola (2017). Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. In: 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA 8 2017, Lille, France, 12 June 2017 - 16 June 2017, 257-264.

Abstract

The design of a fully explicit second-order scheme applied to the framework of non-conservative time dependent 1D hyperbolic problems, in the context of compressible multiphase flows with strong interacting discontinuities, is presented. The aim is to investigate an explicit second-order approximation for a non-conservative system, given by the five equation model of Kapila et al. (Physics of Fluids 2001). The discretization is based on a predictor-corrector scheme, which follows the concept of residual distributions in Ricchiuto and Abgrall (J. Comp. Physics 2010). The novelty of this work is the capability of the presented approximation to provide mesh convergence and to be easily extended to 2D and unstructured meshes. A benchmark on the two-phase compressible system for a stiffened gas verifies the robustness and convergence to the expected solution of the presented approximation.

Abstract

The design of a fully explicit second-order scheme applied to the framework of non-conservative time dependent 1D hyperbolic problems, in the context of compressible multiphase flows with strong interacting discontinuities, is presented. The aim is to investigate an explicit second-order approximation for a non-conservative system, given by the five equation model of Kapila et al. (Physics of Fluids 2001). The discretization is based on a predictor-corrector scheme, which follows the concept of residual distributions in Ricchiuto and Abgrall (J. Comp. Physics 2010). The novelty of this work is the capability of the presented approximation to provide mesh convergence and to be easily extended to 2D and unstructured meshes. A benchmark on the two-phase compressible system for a stiffened gas verifies the robustness and convergence to the expected solution of the presented approximation.

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Additional indexing

Item Type:Conference or Workshop Item (Paper), not_refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Event End Date:16 June 2017
Deposited On:04 Oct 2017 14:52
Last Modified:29 Jul 2018 05:01
Publisher:Springer
Series Name:Springer Proceedings in Mathematics and Statistics
Number:200
ISSN:21941009
ISBN:978-3-319-57393-9
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-3-319-57394-6_28

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