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Post-edited A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows

Auteurs : Furfaro, Damien (Auteur de la Conférence)
CIRM (Editeur )

 Loading the player... two-phase flow model the discrete equations method basis two-phase flow model rewriting locally constant interfacial variables local conservative formulation two-phase Riemann problem solver entropy preserving Godunov type scheme

Résumé : A simple, robust and accurate HLLC-type Riemann solver for two-phase 7-equation type models is built. It involves 4 waves per phase, i.e. the three conventional right- and left-facing and contact waves, augmented by an extra "interfacial" wave. Inspired by the Discrete Equations Method (Abgrall and Saurel, 2003), this wave speed $u_I$ is assumed function only of the piecewise constant initial data. Therefore it is computed easily from these initial data. The same is done for the interfacial pressure $P_I$. Interfacial variables $u_I$ and $P_I$ are thus local constants in the Riemann problem. Thanks to this property there is no difficulty to express the non-conservative system of partial differential equations in local conservative form. With the conventional HLLC wave speed estimates and the extra interfacial speed $u_I$, the four-waves Riemann problem for each phase is solved following the same strategy as in Toro et al. (1994) for the Euler equations. As $u_I$ and $P_I$ are functions only of the Riemann problem initial data, the two-phase Riemann problem consists in two independent Riemann problems with 4 waves only. Moreover, it is shown that these solvers are entropy producing. The method is easy to code and very robust. Its accuracy is validated against exact solutions as well as experimental data.

Codes MSC :
76Mxx - Basic methods in fluid mechanics, See also {65-XX}
76TXX - Two-phase and multiphase flows

 Informations sur la Vidéo Réalisateur : Hennenfent, Guillaume Langue : Anglais Date de publication : 26/08/14 Date de captation : 21/08/14 Collection : Research talks Format : QuickTime (.mov) Durée : 00:45:05 Domaine : Mathematical Physics Audience : Chercheurs ; Doctorants , Post - Doctorants Download : http://videos.cirm-math.fr/2014-08-21_Furfaro.mp4 Informations sur la rencontre Nom du congrès : CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmasOrganisteurs Congrès : Campos Pinto, Martin ; Charles, Frédérique ; Guillard, Hervé ; Nkonga, BonifaceDates : 21/07/14 - 29/08/14 Année de la rencontre : 2014 URL Congrès : http://smai.emath.fr/cemracs/cemracs14/ Citation DataDOI : 10.24350/CIRM.V.18557003Cite this video as: Furfaro, Damien (2014). A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18557003URI : http://dx.doi.org/10.24350/CIRM.V.18557003

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