Christopher Rycroft : Interfacial dynamics of dissolving objects in fluid flow

Posted by Mimi Dai , part of the Analysis and Applied Mathematics Seminar.

At

Dec. 3, 2018, 4 p.m.

In

636 SEO

Abstract

An advection–diffusion-limited dissolution model of an object being eroded by a two-dimensional potential flow will be presented. By taking advantage of conformal invariance of the model, a numerical method will be introduced that tracks the evolution of the object boundary in terms of a time-dependent Laurent series. Simulations of several dissolving objects will be shown, all of which show collapse to a single point in finite time. The simulations reveal a surprising connection between the position of the collapse point and the initial Laurent coefficients, which was subsequently derived analytically.