Repository: Freie Universität Berlin, Math Department

Gradient structures for flows of concentrated suspensions

Peschka, D. and Thomas, M. and Ahnert, T. and Münch, A. and Wagner, B. (2018) Gradient structures for flows of concentrated suspensions. SFB 1114 Preprint at WIAS 10/2018 . (Unpublished)

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Official URL: http://dx.doi.org/10.20347/WIAS.PREPRINT.2543

Abstract

In this work we investigate a two-phase model for concentrated suspensions. We construct a PDE formulation using a gradient flow structure featuring dissipative coupling between fluid and solid phase as well as different driving forces. Our construction is based on the concept of flow maps that also allows it to account for flows in moving domains with free boundaries. The major difference compared to similar existing approaches is the incorporation of a non-smooth two-homogeneous term to the dissipation potential, which creates a normal pressure even for pure shear flows.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:2349
Deposited By: Silvia Hoemke
Deposited On:18 Jun 2019 15:05
Last Modified:18 Jun 2019 15:05

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