AN INEXACT NEWTON METHOD FOR FULLY COUPLED SOLUTION OF THE NAVIER-STOKES EQUATIONS WITH HEAT AND MASS-TRANSPORT

The solution of the governing steady transport equations for momentum, heat and mass transfer in flowing fluids can be very difficult. These difficulties arise from the nonlinear, coupled, nonsymmetric nature o f the system of algebraic equations that results from spatial discreti zation of the PDEs. In this manuscript we focus on evaluating a propos ed nonlinear solution method based on an inexact Newton method with ba cktracking. In this context we use a particular spatial discretization based on a pressure stabilized Petrov-Galerkin finite element formula tion of the low Mach number Navier-Stokes equations with heat and mass transport. Our discussion considers computational efficiency, robustn ess and some implementation issues related to the proposed nonlinear s olution scheme. Computational results are presented for several challe nging CFD benchmark problems as well as two large scale 3D flow simula tions. (C) 1997 Academic Press.