Title:	Numerical Methods for Incompressible Newtonian Fluid Flow

Speaker: Professor Zhiqiang Cai, Purdue University

Time and place: Thursday May 1st 3:30pm at REC 307


Abstract. 

For incompressible Newtonian fluid flow with homogeneous density,
the primitive physical equations are the conservation of momentum and
the constitutive law. This is a first-order partial differential system
for the physical stress, velocity, and pressure. By differentiating
and eliminating the stress, one obtains the well-known second-order
incompressible Navier-Stokes equations in the velocity-pressure
formulation. Although substantial progress in numerical methods and
in computations has been achieved, the Navier-Stokes equations
may still be difficult and expensive to solve. In this talk, we
will first derive the stress-velocity formulation for incompressible
Newtonian fluid flow and then study numerical methods based on this
formuation.