Colloquium - Professor Dennis Sullivan

Date: April 30, 2014

Time: 4:20PM - 5:10PM

Location: BLOC 166

Speaker: Professor Dennis Sullivan, Stony Brook University

Description:

Title: Numerical algorithms for ideal 3D fluid motion based on algebraic topology

Abstract:
At the continuum level, there are a skew-symmetric 3-form and a quadratic form on the space of 1-forms that are purely topological, but in the presence of a metric allow one to express fluid motion algebraically. These structures can be transferred to finite-dimensional grid approximations respecting non-linearity by making use of the idea of structures up to homotopy from algebraic topology. The goal of this work in progress is to construct consistent numerical algorithms that are typically stable for incompressible 3D fluid motion without friction.