Interfacial dynamics of dissolving objects in fluid flow
Seminar
Speaker
Prof. Chris Rycroft- Harvard
Date
09/01/2020 - 15:00 - 14:00Add to Calendar
2020-01-09 14:00:00
2020-01-09 15:00:00
Interfacial dynamics of dissolving objects in fluid flow
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.
Bldg. 216, Room 201
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Bldg. 216, Room 201
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.
Last Updated Date : 23/12/2019
