We describe some algorithms and software components that allow us to solve
on parallel computers classical test cases for unsteady incompressible 3D N
avier-Stokes equations. Our main focus is the design of robust and efficien
t parallel solvers for systems with singularly perturbed convection-reactio
n-diffusion and Laplace operators, which are important constituents of the
Navier-Stokes solvers. The performance of the solvers on two parallel compu
ters is examined. (C) 2001 Elsevier Science B.V. All rights reserved.