Parallel finite-element computation of 3D flows

The authors describe their work on the massively parallel finite-element computation of compressible and incompressible flows with the CM-200 and CM-5 Connection Machines. Their computations are based on implicit methods, and their parallel implementations are based on the assumption that the mesh is unstructured. Computations for flow problems involving moving boundaries and interfaces are achieved by using the deformable-spatial-domain/stabilized-space-time method. Using special mesh update schemes, the frequency of remeshing is minimized to reduce the projection errors involved and also to make parallelizing the computations easier. This method and its implementation on massively parallel supercomputers provide a capability for solving a large class of practical problems involving free surfaces, two-liquid interfaces, and fluid-structure interactions.<<ETX>>

[1]  S. Mittal,et al.  Computation of unsteady incompressible flows with the stabilized finite element methods: Space-time formulations, iterative strategies and massively parallel implementations , 1992 .

[2]  D. Coles.  Transition in circular Couette flow , 1965, Journal of Fluid Mechanics.

[3]  S. Mittal,et al.  A finite element study of incompressible flows past oscillating cylinders and aerofoils , 1992 .

[4]  Thomas J. R. Hughes,et al.  A data parallel finite element method for computational fluid dynamics on the Connection Machine system , 1992 .

[5]  J. G. Kennedy,et al.  Computation of incompressible flows with implicit finite element implementations on the Connection Machine , 1993 .

[6]  Z. C. Feng,et al.  Symmetry-breaking bifurcations in resonant surface waves , 1989, Journal of Fluid Mechanics.

[7]  Antonio Huerta,et al.  Viscous flow with large free surface motion , 1988 .

[8]  Tayfun E. Tezduyar,et al.  Finite element computation of compressible flows with the SUPG formulation , 1991 .

[9]  Thomas J. R. Hughes,et al.  Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations , 1983 .

[10]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multi-dimensional advective-diffusive systems , 1987 .

[11]  T. Tezduyar,et al.  A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests , 1992 .

[12]  S. Mittal,et al.  Massively parallel finite element computation of three dimensional flow problems , 1992 .