Project Details
Projekt
Homogenized systems for liquid-vapour transition in unsteady compressible two-phase flow
Applicant
Professor Dr. Gerald Warnecke
Subject Area
Mathematics
Term
from 2005 to 2011
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5471371
In this project, we consider the liquid-vapour flow as a homogenizedmixture of the two phases. The resulting models pose amajor challenge to mathematics, since there are a number ofimportant open questions to be studied. The primary goal is toimprove and validate numerical schemes for such models. Numericalsolutions are needed in many diverse engineering applicationsinvolving phenomena such as liquid sprays or bubblyflows. In order to improve the quality of numerical results weneed to address some mathematical issues concerning the modellingand resulting well-posedness of the equations. Also wewill have to develop a deeper unterstanding of the theory andnumerical methods for hyperbolic systems of equations containingnon-conservative derivatives. Another challenge is phaseextincion, which is related to vacuum states in gas dynamics.Further, it will be necessary to encorporate phase transitioninto the models and numerical computations.
DFG Programme
Research Units
International Connection
France
Participating Persons
Professor Dr. Remi Abgrall; Dr. Christophe Berthon; Dr. Boniface Nkonga; Professor Dr. Richard Saurel
