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The spectral method provides an efficient algorithm for solving the three dimensional incompressible Navier–Stokes equations in periodic boundaries. Most people, so far, have used vectorized machines, such as the CRAY-2, to implement fast Fourier transformations and time integrations in the spectral calculations. In this paper, new results are presented using the spectral calculations on the Connection Machine-2 with a parallel algorithm. The large memory of the Connection Machine-2 and the parallel algorithm allows one, for the first time, to implement a 5123 mesh resolution for high Reynolds number flows. The computational speed of the present code is about 30% faster than the fastest CRAY-2 simulations with four processors. Parallel machines, such as the Connection Machine-2, will possibly provide new computational power for understanding the intermittency and cascade mechanism in fluid turbulence.
Chen et al. (Sun,) studied this question.