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Parallel Solution Schemes for the Navier-Stokes Equations

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Supercomputer ’93

Part of the book series: Informatik aktuell ((INFORMAT))

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Abstract

Two programs for the simulation of viscous flows were implemented on Parsytec Transputer and Intel i860 systems.

The first case is an explicit solution scheme with possible multigrid acceleration for the computation of three dimensional steady or unsteady flows. Parallelization of this algorithm is straightforward. Efficiency values for different processor numbers are presented and discussed. Overall computing times are compared to those of different super vector computers.

The second algorithm is an implicit scheme for unsteady incompressible flows based on the artificial compressibility approach. The linear system of equations arising in this problem is solved with a Gauß-Seidel line relaxation technique. This involves the inversion of a big number of block-tridiagonal equations. Six different methods for their solution were applied and compared with each other.

Part of this material is based upon work supported by the NSF under Cooperative Agreement No. CCR-8809615. Access to the Intel Touchstone Delta was provided by the Concurrent SuperComputing Consortium.

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© 1993 Springer-Verlag Berlin Heidelberg

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Meinke, M., Hofhaus, J. (1993). Parallel Solution Schemes for the Navier-Stokes Equations. In: Meuer, HW. (eds) Supercomputer ’93. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78348-7_14

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  • DOI: https://doi.org/10.1007/978-3-642-78348-7_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56948-0

  • Online ISBN: 978-3-642-78348-7

  • eBook Packages: Springer Book Archive

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