Parallel Iterative Solution of the Navier-Stokes Equations with Heat and Mass Transport



John N. Shadid, Raymond S. Tuminaro, Scott A. Hutchinson

Sandia National Laboratories
Albuquerque, New Mexico 87185

Abstract

The iterative solution of the governing transport equations for momentum, heat and mass transfer in flowing fluids can be very difficult. These difficulties arise from the nonlinear, coupled, nonsymmetric nature of the system of algebraic equations resulting from numerical approximation of the PDEs. This talk focuses on evaluating a number of preconditioned Krylov methods for solution of the Navier-Stokes equations with heat and mass transport. Our discussion considers efficiency, robustness and implementation issues for fully-coupled solutions methods.