Effectiveness of multigrid in accelerating convergence of multidimensional flows in chemical nonequilibrium
Abstract
The effectiveness of the multigrid technique in accelerating convergence of the hyperbolic partial differential equations which govern multidimensional flows in chemical nonequilibrium was investigated. To accelerate the convergence process, a threelevel multigrid scheme was applied to an implicit Euler solver with finite rate chemistry. Results from the work described herein imply that for some chemical nonequilibrium flow problems, multigrid can accelerate convergence by as much as a factor of four over solutions obtained solely on the fine grid. The flow solver used in this work is an implicit, two dimensional, finite volume Euler code. It uses a third order accurate, upwind biased Total Variation Diminishing (TVD) scheme to discretize the convective terms in the Euler equations. The governing equations are fully coupled and are solved by approximate factorization. Chemical source terms are evaluated in a point implicit manner. Two chemistry models are used: a five species reacting air model, and a two species dissociating oxygen model.
 Publication:

AIAA, Fluid Dynamics, 21st Plasma Dynamics and Lasers Conference, 21st, Seattle, WA, June 1820, 1990. 17 p.
 Pub Date:
 June 1990
 Bibcode:
 1990fdpd.confZ....S
 Keywords:

 Combustible Flow;
 Computational Fluid Dynamics;
 Multigrid Methods;
 Nonequilibrium Flow;
 Euler Equations Of Motion;
 Finite Volume Method;
 Reaction Kinetics;
 Thermodynamics;
 Tvd Schemes;
 Fluid Mechanics and Heat Transfer