Abstract

There exists a wide range of problems in computational physics where no analytical and few experimental results exist. Of particular interest at the Navier–Stokes Supercomputer Laboratory of Princeton University is a range of problems dealing with fluid flow. Most flows of interest are complex in nature, involving non-simple boundaries and initial conditions. A typical case involves turbulent flow over arbitrary air and water vehicles. Of particular interest is the active control of these flows. To simulate such flows directly, with boundary and initial conditions directed towards active control schemes, one must numerically solve the Navier–Stokes equations of fluid motion. These equations form a set of nonlinear, coupled, partial differential equations that account for the conservation of mass, momentum and energy in continuum flow. Because of the vast amount of computer memory and associated processing speed required to tackle even simple numerical simulations, a typical general-purpose supercomputer (e.g. Cray-2) would require unreasonably large computer time to tackle most flows involving turbulence.

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