HLLC swMATH ID: 6530 Software Authors: Tokareva, S.A.; Toro, E.F. Description: 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. Homepage: http://dl.acm.org/citation.cfm?id=1751785 Keywords: compressible multiphase flow; hyperbolic equations; nonconservative products; complete Riemann solvers; HLLC solver; finite volumes; DG finite elements; path-conservative methods Related Software: HLLE; HE-E1GODF; AUSM; CATHARE; RIEMANN; PVM; MOOD; ECHO; ReALE; CHIC; CUDA; NEPTUNE; Gmsh; FlowModellium; Aghora; WABBIT; FluSI; GitHub; Peano; Coq Cited in: 73 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1346.76098Tokareva, Svetlana A.; Toro, Eleuterio F. 2011 HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. Zbl 1391.76440Tokareva, S. A.; Toro, E. F. 2010 all top 5 Cited by 143 Authors 9 Hérard, Jean-Marc 7 Daude, Frédéric 7 Toro, Eleuterio Francisco 6 Galon, Pascal 5 Tokareva, Svetlana A. 4 Dumbser, Michael 4 Hurisse, Olivier 3 Coquel, Frédéric 3 Renac, Florent 3 Saleh, Khaled 2 Balsara, Dinshaw S. 2 Bourdarias, Christian 2 de Laage de Meux, Benoît 2 Demay, Charles 2 Gerbi, Stéphane 2 Hidalgo, Arturo 2 Kumbaro, Anela 2 Lochon, Hippolyte 2 Pelanti, Marica 2 Quibel, Lucie 2 Rai, Pratik 2 Saurel, Richard 2 Tian, Baolin 2 Xu, Kun 1 Abgrall, Rémi 1 Abily, Morgan 1 Afshari, Asghar 1 Alekseev, M. V. 1 Alekseev, Mikhail Nikolaevich 1 Amossé, Laura 1 Beccantini, Alberto 1 Bertrand, Nathalie 1 Blaud, E. 1 Boscheri, Walter 1 Boukili, Hamza 1 Capdeville, Guy 1 Castro, Cristóbal E. 1 Causon, D. M. 1 Chalons, Christophe 1 Chang, Keun-Shik 1 Chen, Qian 1 Chiapolino, Alexandre 1 Colonna, Piero 1 Cordier, Floraine 1 Corre, Christophe 1 Crouzet, Fabien 1 Degond, Pierre 1 Delenne, Carole 1 Delestre, Olivier 1 Denner, Fabian 1 Duluc, Claire-Marie 1 Fechter, Stefan 1 Fedkiw, Ronald P. 1 Finaud-Guyot, Pascal 1 Flåtten, Tore 1 Fraysse, François 1 Furfaro, Damien 1 Gaburro, Elena 1 Goncalves, Eric 1 Gourbesville, Philippe 1 Guinot, Vincent 1 Guo, Xiaohu 1 Hajidavalloo, Ebrahim 1 Hammer, Morten 1 Hennessey, Michael Patrick 1 Henry de Frahan, Marc T. 1 Hong, Yao 1 Hyde, David A. B. 1 Ji, Xing 1 Johnsen, Eric 1 Kapila, Ashwani Kumar 1 Kemm, Friedemann 1 Kim, Jinho 1 Koren, Barry 1 le Touzé, David 1 Lei, Xin 1 Lhomme, Julien 1 Li, Jiequan 1 Li, Zhe 1 Liang, Shan 1 Liu, Hua 1 Liu, Tiegang 1 Liu, Wei 1 Liu, Yujie 1 Llovel, Cécile 1 Log, Alexandra Metallinou 1 Ma, Zhihua 1 Majidi, Sahand 1 Marmignon, Claude 1 Martínez Ferrer, Pedro José 1 Meng, Baoqing 1 Men’shov, Igor S. 1 Mingham, C. G. 1 Müller, Bernhard 1 Müller, Wolf-Christian 1 Munkejord, Svend Tollak 1 Munz, Claus-Dieter 1 Navaro, Pierre 1 Nguyen, Nguyen Thanh 1 Niu, Yang-Yao ...and 43 more Authors all top 5 Cited in 18 Serials 26 Journal of Computational Physics 18 Computers and Fluids 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Scientific Computing 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Communications in Computational Physics 1 International Journal for Numerical Methods in Fluids 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Differential Equations 1 Archives of Computational Methods in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 International Journal on Finite Volumes all top 5 Cited in 7 Fields 68 Fluid mechanics (76-XX) 42 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year