HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow We first construct an approximate Riemann solver of the HLLC-type for the Baer-Nunziato equations of compressible two-phase flow for the “subsonic” wave configuration. The solver is fully nonlinear. It is also complete, that is, it contains all the characteristic fields present in the exact solution of the Riemann problem. In particular, stationary contact waves are resolved exactly. We then implement and test a new upwind variant of the path-conservative approach; such schemes are suitable for solving numerically nonconservative systems. Finally, we use locally the new HLLC solver for the Baer-Nunziato equations in the framework of finite volume, discontinuous Galerkin finite element and path-conservative schemes. We systematically assess the solver on a series of carefully chosen test problems.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 49 articles , 2 standard articles )

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  1. Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael: A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model (2020)
  2. Daude, F.; Berry, R. A.; Galon, P.: A finite-volume method for compressible non-equilibrium two-phase flows in networks of elastic pipelines using the Baer-Nunziato model (2019)
  3. Demay, Charles; Bourdarias, Christian; de Laage de Meux, Benoît; Gerbi, Stéphane; Hérard, Jean-Marc: Numerical simulation of a compressible two-layer model: a first attempt with an implicit-explicit splitting scheme (2019)
  4. Demay, Charles; Bourdarias, Christian; de Meux, Benoît de Laage; Gerbi, Stéphane; Hérard, Jean-Marc: A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model (2019)
  5. Saleh, Khaled: A relaxation scheme for a hyperbolic multiphase flow model. I: Barotropic EOS (2019)
  6. Denner, Fabian; Xiao, Cheng-Nian; van Wachem, Berend G. M.: Pressure-based algorithm for compressible interfacial flows with acoustically-conservative interface discretisation (2018)
  7. Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph: Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension (2018)
  8. Pelanti, Marica: Wave structure similarity of the HLLC and Roe Riemann solvers: application to low Mach number preconditioning (2018)
  9. Prebeg, Marin; Flåtten, Tore; Müller, Bernhard: Large time step HLL and HLLC schemes (2018)
  10. Verma, Prabal Singh; Müller, Wolf-Christian: Higher order finite volume central schemes for multi-dimensional hyperbolic problems (2018)
  11. Boscheri, Walter: High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes (2017)
  12. Coquel, Frédéric; Hérard, Jean-Marc; Saleh, Khaled: A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model (2017)
  13. ten Eikelder, M. F. P.; Daude, F.; Koren, B.; Tijsseling, A. S.: An acoustic-convective splitting-based approach for the Kapila two-phase flow model (2017)
  14. Tokareva, Svetlana; Toro, Eleuterio: A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow (2017)
  15. Xu, Liang; Liu, Tiegang: Explicit interface treatments for compressible gas-liquid simulations (2017)
  16. Balsara, Dinshaw S.; Kim, Jinho: A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector (2016)
  17. Daude, F.; Galon, P.: On the computation of the Baer-Nunziato model using ALE formulation with HLL- and HLLC-type solvers towards fluid-structure interactions (2016)
  18. Dumbser, Michael; Balsara, Dinshaw S.: A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems (2016)
  19. Fraysse, F.; Redondo, C.; Rubio, G.; Valero, E.: Upwind methods for the Baer-Nunziato equations and higher-order reconstruction using artificial viscosity (2016)
  20. Lochon, H.; Daude, F.; Galon, P.; Hérard, J.-M.: HLLC-type Riemann solver with approximated two-phase contact for the computation of the Baer-Nunziato two-fluid model (2016)

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