A stable discretization for the simulation of two-phase flow
Duration: 27 mins 10 secs
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About this item
| Description: |
Kahle, C (Universität Hamburg)
Wednesday 25 June 2014, 16:00-16:30 |
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| Created: | 2014-07-11 12:55 |
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| Collection: | Free Boundary Problems and Related Topics |
| Publisher: | Isaac Newton Institute |
| Copyright: | Kahle, C |
| Language: | eng (English) |
| Abstract: | Co-authors: Harald Garcke (University of Regensburg), Michael Hinze (University of Hamburg)
In [Abels, Garcke, Gruen, M3AS, 22, 2012] a model for the simulation of variable density two-phase flow using the diffuse interface approach is presented. Due to an additional transport term in the Navier-Stokes system this model enjoys consistency with thermodynamics. To preserve this important property in the numerical simulation we propose a time discretization that uses a carefully designed weak formulation and delivers a time discrete variant of the continuous energy equality. The spatial discretization is enriched by a suitable post processing step to ensure the energy inequality to hold in the fully discrete setting. An a-posteriori adaptive procedure is proposed that deals with the errors both in the Navier-Stokes and the Cahn-Hilliard system. |
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