LARGE-EDDY SIMULATIONS OF TURBULENCE ON THE CM-2

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Abstract
This paper reports the development and performance of a computer program for large-eddy simulations (LES) of turbulence on a massively parallel computer, the Connection Machine-2 (CM-2). The computer program solves the time-dependent Navier-Stokes equations for large scales of turbulence using a second-order time and space accurate, semi-implicit, finite-difference scheme. The effects of small scales of turbulence are represented by a subgrid closure model. The computer program is written in CM Fortran but uses some of the Connection Machine Scientific Subroutine Library (CMSSL) routines for line inversions and discrete Fourier transforms. Calculations are performed for fully developed channel flow and results are compared with previously published numerical and experimental data. In comparison with a similar calculation on a single-processor Cray-2, a speedup factor of 2.1 has been achieved with a 32 K CM-2. It is observed that the CM-2 provides a promising environment for turbulence simulations. Details of the physical problem, the numerical algorithm, and the performance of the machine are reported.

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