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


  • Nadezhda S. Smirnova Moscow Institute of Physics and Technology
  • Michael Dumbser Moscow Institute of Physics and Technology, University of Trento,
  • Mikhail N. Petrov Moscow Institute of Physics and Technology
  • Alexander V. Chikitkin Moscow Institute of Physics and Technology
  • Evgeniy I. Romenski Sobolev Institute of Mathematics




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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How to Cite

Smirnova, N. S., Dumbser, M., Petrov, M. N., Chikitkin, A. V., & Romenski, E. I. (2018). A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows. Supercomputing Frontiers and Innovations, 5(3), 83–87. https://doi.org/10.14529/jsfi180315