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SUMMARY:A stable discretization for the simulation of two-phase flow - Kah
 le\, C (Universitt Hamburg)
DTSTART:20140625T150000Z
DTEND:20140625T153000Z
UID:TALK53153@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Harald Garcke (University of Regensburg)\, Michael
  Hinze (University of Hamburg) \n\nIn [Abels\, Garcke\, Gruen\, M3AS\, 22\
 , 2012] a model for the simulation of variable density two-phase flow usin
 g the diffuse interface approach is presented. Due to an additional transp
 ort term in the Navier-Stokes system this model enjoys consistency with th
 ermodynamics. To preserve this important property in the numerical simulat
 ion we propose a time discretization that uses a carefully designed weak f
 ormulation and delivers a time discrete variant of the continuous energy e
 quality. The spatial discretization is enriched by a suitable post process
 ing step to ensure the energy inequality to hold in the fully discrete set
 ting. An a-posteriori adaptive procedure is proposed that deals with the e
 rrors both in the Navier-Stokes and the Cahn-Hilliard system.\n
LOCATION:Seminar Room 1\, Newton Institute
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