Finite Element Approximation of Boussinesq Model for Thermosolutal Convection: Error Analysis and Numerical Results

Mr. Tobin Jackson

Department of Mathematical Sciences
UAHuntsville

3 September 2010
218 Shelby Center
3:00 (Refreshements at 2:30)

Abstract

Thermosolutal convection refers to flows driven by combined temperature and concentration gradients and is important in oceanography, atmospheric sciences and chemical vapor deposition. The Boussinesq model for thermosolutal convection is a tightly coupled non-linear system of PDEs. In this talk we will discuss error analysis of fully discrete finite element approximations to the doubly diffusive convection model under minimal regularity assumptions. We will also present some finite element numerical simulations.