COMPUTATION OF INCOMPRESSIBLE FLOWS WITH IMPLICIT FINITE-ELEMENT IMPLEMENTATIONS ON THE CONNECTION MACHINE

Two implicit finite element formulations for incompressible flows have been implemented on the Connection Machine supercomputers and success fully applied to a set of time-dependent problems. The stabilized spac e-time formulation for moving boundaries and interfaces, and a new sta bilized velocity-pressure-stress formulation are both described, and s ignificant aspects of the implementation of these methods on massively parallel architectures are discussed. Several numerical results for f low problems involving moving as well as fixed cylinders and airfoils are reported. The parallel implementation, taking full advantage of th e computational speed of the new generation of supercomputers, is foun d to be a significant asset in fluid dynamics research. Its current ca pability to solve large-scale problems, especially when coupled with t he potential for growth enjoyed by massively parallel computers, make the implementation a worthwhile enterprise.