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 72 articles , 2 standard articles )

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  1. Hong, Yao; Wang, Benlong; Liu, Hua: Numerical simulation of compressible multiphase hydrodynamic problems using reduced five-equation model on body-fitted grids (2022)
  2. Reiss, Julius: Pressure-tight and non-stiff volume penalization for compressible flows. An immersed boundary method with good conservation properties (2022)
  3. Yang, Xiaojian; Ji, Xing; Shyy, Wei; Xu, Kun: Comparison of the performance of high-order schemes based on the gas-kinetic and HLLC fluxes (2022)
  4. Alekseev, Mikhail; Savenkov, Evgeny: Runge-Kutta discontinuous Galerkin method for Baer-Nunziato model with `simple WENO’ limiting of conservative variables (2021)
  5. Boukili, Hamza; Hérard, Jean-Marc: Simulation and preliminary validation of a three-phase flow model with energy (2021)
  6. Chiapolino, Alexandre; Saurel, Richard; Toro, Eleuterio: Investigation of Riemann solver with internal reconstruction (RSIR) for the Euler equations (2021)
  7. Coquel, Frédéric; Marmignon, Claude; Rai, Pratik; Renac, Florent: An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model (2021)
  8. Hérard, Jean-Marc; Hurisse, Olivier; Quibel, Lucie: A four-field three-phase flow model with both miscible and immiscible components (2021)
  9. Hurisse, Olivier: Various choices of source terms for a class of two-fluid two-velocity models (2021)
  10. Hurisse, O.; Quibel, L.: Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model (2021)
  11. Lei, Xin; Li, Jiequan: A staggered-projection Godunov-type method for the Baer-Nunziato two-phase model (2021)
  12. Log, Alexandra Metallinou; Munkejord, Svend Tollak; Hammer, Morten: HLLC-type methods for compressible two-phase flow in ducts with discontinuous area changes (2021)
  13. Tukhvatullina, R. R.; Alekseev, M. V.; Savenkov, E. B.: Numerical solution of the Baer-Nunziato relaxation model using the discontinuous Galerkin method (2021)
  14. Hennessey, M.; Kapila, A. K.; Schwendeman, D. W.: An HLLC-type Riemann solver and high-resolution Godunov method for a two-phase model of reactive flow with general equations of state (2020)
  15. 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)
  16. Li, Zhe; Oger, Guillaume; Le Touzé, David: A finite volume WENO scheme for immiscible inviscid two-phase flows (2020)
  17. Serezhkin, Alexey; Menshov, Igor: On solving the Riemann problem for non-conservative hyperbolic systems of partial differential equations (2020)
  18. Tian, Baolin; Zeng, Junsheng; Meng, Baoqing; Chen, Qian; Guo, Xiaohu; Xue, Kun: Compressible multiphase particle-in-cell method (CMP-PIC) for full pattern flows of gas-particle system (2020)
  19. Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A.: Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form (2020)
  20. 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)

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