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 36 articles , 2 standard articles )

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  1. Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph: Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension (2018)
  2. Pelanti, Marica: Wave structure similarity of the HLLC and Roe Riemann solvers: application to low Mach number preconditioning (2018)
  3. Verma, Prabal Singh; Müller, Wolf-Christian: Higher order finite volume central schemes for multi-dimensional hyperbolic problems (2018)
  4. Boscheri, Walter: High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes (2017)
  5. Coquel, Frédéric; Hérard, Jean-Marc; Saleh, Khaled: A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model (2017)
  6. 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)
  7. Tokareva, Svetlana; Toro, Eleuterio: A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow (2017)
  8. Xu, Liang; Liu, Tiegang: Explicit interface treatments for compressible gas-liquid simulations (2017)
  9. Balsara, Dinshaw S.; Kim, Jinho: A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector (2016)
  10. 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)
  11. Dumbser, Michael; Balsara, Dinshaw S.: A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems (2016)
  12. Fraysse, F.; Redondo, C.; Rubio, G.; Valero, E.: Upwind methods for the Baer-Nunziato equations and higher-order reconstruction using artificial viscosity (2016)
  13. 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)
  14. Lochon, Hippolyte; Daude, Frédéric; Galon, Pascal; Hérard, Jean-Marc: Comparison of two-fluid models on steam-water transients (2016)
  15. Majidi, Sahand; Afshari, Asghar: An adaptive interface sharpening methodology for compressible multiphase flows (2016)
  16. Niu, Yang-Yao: Computations of two-fluid models based on a simple and robust hybrid primitive variable Riemann solver with AUSMD (2016)
  17. Shen, Zhijun; Yan, Wei; Yuan, Guangwei: A robust HLLC-type Riemann solver for strong shock (2016)
  18. Abily, Morgan; Delestre, Olivier; Amossé, Laura; Bertrand, Nathalie; Richet, Yann; Duluc, Claire-Marie; Gourbesville, Philippe; Navaro, Pierre: Uncertainty related to high resolution topographic data use for flood event modeling over urban areas: toward a sensitivity analysis approach (2015)
  19. Crouzet, Fabien; Daude, Frédéric; Galon, Pascal; Hérard, Jean-Marc; Hurisse, Olivier; Liu, Yujie: Validation of a two-fluid model on unsteady liquid-vapor water flows (2015)
  20. Furfaro, Damien; Saurel, Richard: A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows (2015)

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