 
Summary: Parallel TwoLevel Methods for ThreeDimensional Transonic
Compressible Flow Simulations on Unstructured Meshes
R. Aitbayeva
, X.C. Caia
, and M. Paraschivoiub
a
Department of Computer Science, University of Colorado,
Boulder, CO 80309, U.S.A., {rakhim, cai}@cs.colorado.edu
b
Department of Mechanical and Industrial Engineering, University of Toronto,
Toronto, Canada, M5S 3G8, marius@mie.utoronto.ca
We discuss our preliminary experiences with several parallel twolevel additive Schwarz
type domain decomposition methods for the simulation of threedimensional transonic
compressible flows. The focus is on the implementation of the parallel coarse mesh solver,
which is used to reduce computational cost and speed up convergence of the linear al
gebraic solvers. Results of a local twolevel and a global twolevel algorithm on a multi
processor computer are presented for computing steady flows around a NACA0012 airfoil
using the Euler equations discretized on unstructured meshes.
1. INTRODUCTION
We are interested in the numerical simulation of threedimensional inviscid steadystate
