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

Garcke, Harald ; Hinze, Michael ; Kahle, Christian



Abstract

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically 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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