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Gradient Structures for Flows of Concentrated Suspensions

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Part of the CIM Series in Mathematical Sciences book series (CIMSMS)

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.

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  • DOI: 10.1007/978-3-030-33116-0_12
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Correspondence to Dirk Peschka .

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Peschka, D., Thomas, M., Ahnert, T., Münch, A., Wagner, B. (2019). Gradient Structures for Flows of Concentrated Suspensions. In: Hintermüller, M., Rodrigues, J. (eds) Topics in Applied Analysis and Optimisation. CIM Series in Mathematical Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-33116-0_12

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