DFG-CNRS Researchgroup

Micro-Macro Modelling and Simulation of Liquid-Vapour Flows

Events

Project A1: Numerical Solution of the Navier-Stokes-Korteweg system

We consider the local and nonlocal versions of the Navier-Stokes-Korteweg system (NSK-system) that govern the compressible dynamics of a two-phase flow undergoing dynamical phase transitions. In the project we develop, implement and validate a numerical scheme to solve initial boundary value problems for the NSK-system in multiple space dimensions.
The basic discretization method consists of a Discontinuous-Galerkin method in combination with Riemann-solver free fluxes. To achieve the required efficiency we make use of self-adaptive grids control led by error indicators.

	Project leaders
	Prof. Dr. Dietmar Kröner Mathematisches Institut Universität Freiburg Hermann-Herder-Str. 10 D-79104 Freiburg Tel.: +49 (0)761-203-5637 or 5640 Fax: +49 (0)761-203-5632 e-mail: dietmar@mathematik.uni-freiburg.de http://www.mathematik.uni-freiburg.de/IAM/	Dr. Mario Ohlberger Mathematisches Institut Universität Freiburg Hermann-Herder-Str. 10 D-79104 Freiburg Tel.: +49 (0)761-203-5642 Fax: +49 (0)761-203-5632 e-mail: mario@mathematik.uni-freiburg.de http://www.mathematik.uni-freiburg.de/IAM/
	Prof. Dr. Christian Rohde Fakultät für Mathematik Universität Bielefeld Universitätsstraße 25 D-33615 Bielefeld Tel: +49 (0)521-106 4801 Fax: +49 (0)521-106 6498 e-mail: crohde@math.uni-bielefeld.de http://www.math.uni-bielefeld.de/~crohde/
	Prof. Dr. Frédéric Coquel Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie Boite courrier 187 F-75252 Paris cedex 05 Tel.: +33 (0)1 44 27 54 08 Fax: +33 (0)1 44 27 72 00 e-mail: coquel@ann.jussieu.fr http://www.ann.jussieu.fr	Prof. Dr. Philippe LeFloch Centre de Mathématiques Appliquées Ecole Polytechnique F-91128 Palaiseau Cedex Tel.: +33 (0) 1 69 33 46 10 Fax: +33 (0) 1 69 33 30 11 e-mail: lefloch@cmap.polytechnique.fr http://www.cmap.polytechnique.fr/~lefloch/