TITLE:

NUMERICAL METHODS FOR INCOMPRESSIBLE NEWTONIAN FLUID FLOW (No. 52)

DATE:

Friday, September 24th, 2004

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Zhiqiang Cai, Department of Mathematics, Purdue University

ABSTRACT:

For incompressible Newtonian fluid flow, the primitive physical equations are the balance of momentum and the constitutive equation. 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 first derive the pseudostress?velocity formulation for incompressible Newtonian fluid flow. We then develop accurate, robust, and efficient computational methods based on this formulation for both stationary and time-dependent problems.

HOST:

Jose Castillo

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