Abstract
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.
Highlights
Modeling of two-phase compressible flows finds many applications in various engineering spheres
The key disadvantage of the BaerNunziato and the Kapila models is that they are of non-conservative form, while the symmetric hyperbolic thermodynamically compatible (SHTC) equations can be written in the conservation-law form
In this paper we introduce a new method for solving the SHTC equations of compressible two-phase flow with one common entropy
Summary
Modeling of two-phase compressible flows finds many applications in various engineering spheres. Nowadays mathematical models of this class of problems and their computational methods are actively developed. The key disadvantage of the BaerNunziato and the Kapila models is that they are of non-conservative form, while the SHTC equations can be written in the conservation-law form. This shortcoming of first two models leads to difficulties in the definition of the discontinuous solutions and in the development of high order numerical methods. In this paper we introduce a new method for solving the SHTC equations of compressible two-phase flow with one common entropy. The aim of the present work is to develop a method which allows efficient parallelization and provides reliable numerical solutions
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