Open AccessA Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows
Author(s) -
Nadezhda Smirnova,
Michael Dumbser,
Mikhail Nikolaevich Petrov,
Alexander Viktorovich Chikitkin,
Evgeniy Romenski
Publication year - 2018
Publication title -
supercomputing frontiers and innovations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 16
eISSN - 2409-6008
pISSN - 2313-8734
DOI - 10.14529/jsfi180315
Subject(s) - riemann solver , finite volume method , compressibility , mathematics , convection , roe solver , flow (mathematics) , upwind scheme , solver , compressible flow , mechanics , phase (matter) , flux (metallurgy) , mathematical analysis , riemann problem , riemann hypothesis , physics , mathematical optimization , materials science , quantum mechanics , discretization , metallurgy
In this paper we propose a new flux splitting approach for the symmetric hyperbolic thermodynamically compatible (SHTC) equations of compressible two-phase flow which can be used in finite-volume methods. The approach is based on splitting the entire model into acoustic and pseudo-convective submodels. The associated acoustic system is numerically solved applying HLLC-type Riemann solver for its Lagrangian form. The convective part of the pseudo-convective submodel is solved by a standart upwind scheme. For other parts of the pseudo-convective submodel we apply the FORCE method. A comparison is carried out with unsplit methods. Numerical results are obtained on several test problems. Results show good agreement with exact solutions and reference calculations.
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