Skip to content

FRB

Seminar

A stable discretization for the simulation of two-phase flow

Kahle, C (Universitšt Hamburg)
Wednesday 25 June 2014, 16:00-16:30

Seminar Room 1, Newton Institute

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.

Presentation

[pdf ]

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧