A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow

URN to cite this document:: urn:nbn:de:bvb:355-epub-297849
DOI to cite this document:: 10.5283/epub.29784

Garcke, Harald ; Hinze, Michael ; Kahle, Christian

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Date of publication of this fulltext: 08 Apr 2014 08:56

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	3/2014
Date:	2014
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	29784

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Abstract

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermo dynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time energy inequality. An adaptive spatial discretization is proposed that conserves the energy inequality in the fully discrete setting by applying a suitable post ...

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