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Applied Math Seminar – Andrea Giorgini (Indiana University)

October 23, 2020 @ 11:00 am - 12:00 pm

TITLE: Diffuse interface methods for incompressible two-phase flows

ABSTRACT: The diffuse interface (or phase field) theory has emerged in the last decades as a versatile approach to describe the interface dynamics in many problems arising from fluid and solid mechanics, image processing, material sciences and biology. Among many, recent applications are Li-ion batteries and tumor growth dynamics. The diffuse interface method combines in a unified framework the concept of transition interface with the energy-based formalism from thermodynamics and statistical mechanics. In recent years, particular interest has been devoted to theoretical and numerical studies of models for mixtures of two incompressible fluids with different densities. In this talk I will first present the main features of the diffuse interface method and its advantages as opposed to sharp interface problems. Then, I will discuss some recent results for diffuse interface models describing two-phase flows. In particular, I will focus on the analysis of Navier-Stokes-Cahn-Hilliard type models.

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Date:
October 23, 2020
Time:
11:00 am - 12:00 pm
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