A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows

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.