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The implementation of a 3D Navier-Stokes algorithm on an algorithm oriented processor
Authors:F. F. Van der Vlugt   D. A. Van Delft   A. F. Bakker  Th. H. Van Der Meer
Affiliation:

Department of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA, Delft, Netherlands

Abstract:The multiprocessor system ATOMS has been used to solve 3D Navier-Stokes problems. ATOMS was originally designed at AT&T Bell Laboratories for Molecular Dynamics calculations. However, certain hardware features were included in the design to permit data transfer between processor boards as closely coupled linear array of processors. In this mode we refer to the multiprocessor system as DNSP (AT&T's/Delft Navier-Stokes Processor).

An algorithm for calculating the buoyancy-driven laminar/turbulent flow in a 3D cavity has been implemented on the DNSP. For this algorithm an efficiency of 35% (which amounts to 14 Mflops) is obtained. This high efficiency can be reached thanks to the strong coupling between the algorithm and the architecture of the multiprocessor system. The speed is obtained at very low cost, resulting in a cost/performance ratio for the DNSP which is at least an order of magnitude lower than (mini-)supercomputers.

Keywords:Navier-Stokes equations   Algorithm oriented processor   k-ε model   Tridiagonal matrices   Special purpose computer
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