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

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Garcke, Harald ; Hinze, Michael ; Kahle, Christian
Date of publication of this fulltext: 08 Apr 2014 08:56


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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