Multigrid solution of flame sheet problems
on serial and parallel computers

Craig C. Douglas
IBM T. J. Watson Research Center
Yorktown Heights, NY, USA and
Computer Science Department
Yale University
New Haven, CT, USA

Alexandre Ern
Department of Mechanical Engineering
Yale University
P. O. Box 208286
New Haven, CT 06520-8286, USA and
CERMICS, ENPC
La Courtine
93167 Noisy-le-Grand Cedex
FRANCE

Mitchell D. Smooke
Department of Mechanical Engineering
Yale University
P. O. Box 208286
New Haven, CT 06520-8286, USA

Abstract

Flame sheet problems are on the natural route to the numerical solution of detailed chemistry, laminar diffusion flames, which, in turn, are important in many engineering applications. In order to model the flame structure more accurately, we use the vorticity-velocity formulation of the fluid flow equations instead of the more traditional stream function-vorticity approach. The numerical solution of the resulting nonlinear coupled elliptic partial differential equations involves damped Newton iterations, adaptive grid procedures, and multigrid methods. We focus on nonlinear damped Newton multigrid, using either one way or correction schemes. Results on serial and parallel processors are presented.


Contributed August 2, 1994.