MATH Seminar

Title: Computing free surface flows of viscoplastic fluids
Seminar: Numerical Analysis and Scientific Computing
Speaker: Maxim Olshanskii of University of Houston
Contact: Michele Benzi, benzi@mathcs.emory.edu
Date: 2014-09-26 at 12:00PM
Venue: MSC W301
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Abstract: Free surfaces flows of yield stress fluids are common in nature and in engineering applications. Viscoplastic models, such as the Herschel-Bulkley model, are often used to describe the complex rheology of such fluids and predict fluids dynamics with reasonable accuracy. The numerical modeling and analysis of the phenomena is a challenging task due to the non-trivial coupling of complex fluid dynamics and free surface evolution.\\ \\ In this talk we discuss an approach for numerical simulation of free surface flows of viscoplastic incompressible fluids. The approach features adaptive Cartesian grids and a splitting technique for numerical time integration. We shall point to several open problems in the mathematical and numerical analysis of equations governing free surface flows of viscoplastic fluids.