HLLC

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 11 articles , 2 standard articles )

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  1. 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)
  2. Cordier, Floraine; Degond, Pierre; Kumbaro, Anela: Phase appearance or disappearance in two-phase flows (2014)
  3. Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo: High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems (2014)
  4. Shekari, Younes; Hajidavalloo, Ebrahim: Application of Osher and PRICE-C schemes to solve compressible isothermal two-fluid models of two-phase flow (2013)
  5. Coquel, Frédéric; Hérard, Jean-Marc; Saleh, Khaled: A splitting method for the isentropic Baer-Nunziato two-phase flow model (2012)
  6. Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping: WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows (2012)
  7. Capdeville, G.: A multi-dimensional HLL-Riemann solver for Euler equations of gas dynamics (2011)
  8. Tian, Baolin; Toro, E.F.; Castro, C.E.: A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver (2011)
  9. Tokareva, Svetlana A.; Toro, Eleuterio F.: HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow (2011)
  10. Finaud-Guyot, P.; Delenne, C.; Lhomme, J.; Guinot, V.; Llovel, C.: An approximate-state Riemann solver for the two-dimensional shallow water equations with porosity (2010)
  11. Tokareva, S.A.; Toro, E.F.: HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow (2010)