Adaptive, and Time Dependent, Viscoelastic Fluid Flow Approximation

 

Abstract

In this presentation we describe the modeling equations for viscoelastic fluid flow and contrast them to that for Newtonian fluid flow -- the Navier-Stokes equations. For steady-state viscoelastic flow we present some recent work on a posteriori error estimation and related adaptive computations. For time dependent flows we present recently derived error estimates, and describe some modeling work on the mixing of two inviscid viscoelastic fluids.