MASSIVELY-PARALLEL FINITE-ELEMENT SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE HOWS

We present a review of where our research group stands in parallel fin ite element simulation of how problems on the Connection Machines, an effort that started for our group in the fourth quarter of 1991. This review includes an overview of our work on computation of flow problem s involving moving boundaries and interfaces, such as free surfaces, t wo-liquid interfaces, and fluid-structure and fluid-particle interacti ons. With numerous examples, we demonstrate that, with these new compu tational capabilities, today we are at a point where we routinely solv e practical flow problems, including those in 3D and those involving m oving boundaries and interfaces. We solve these problems with unstruct ured grids and implicit methods, with some of the problem sizes exceed ing 5000000 equations, and with computational speeds up to two orders of magnitude higher than what was previously available to us on the tr aditional vector supercomputers.