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Adaptive Multigrid Solution of the Convection-Diffusion Equation on the Dirmu Multiprocessor

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Robust Multi-Grid Methods

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 23))

Summary

The two-dimensional convection-diffusion equation is solved using a nested iteration multigrid scheme with local grid refinement on a parallel Computer with distributed shared memory. The adaptive grid refinement is based on estimates of local truncation errors. An array of processors is used; the grids on all levels are subdivided equally amongst all processors. The parallel efficiencies obtained range from 57% to 81%.

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References

  1. THOMPSON, M. C., FERZIGER, J. H.: “An Efficient Adaptive Multigrid Technique for the Incompressible Navier-Stokes Equations” private communication (1987).

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  3. BERGER, M., “Adaptive Mesh Ref inement for Hyperbolic Partial Differential Equations”, Ph.D. Thesis, Dept. Computer Sc., Stanford University (1982)

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  4. HÄNDLER, W., MAEHLE, E., WIRL, K., “The DIRMU Testbed for High-Performance Multiprocessor Configurations”, Proc. of the first Intern. Conf. on Supercomputing Systems, St. Petersburg (1985).

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  5. HACKBUSCH, W., “Multi-Grid Methods and Applications”, Springer Verlag, 1985.

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Author information

Authors and Affiliations

  1. Institut für Mathematische Maschinen und Datenverarbeitung III, Universität Erlangen Nürnberg, Martensstr. 3, D-8520, Erlangen, Germany

    P. Bastian, G. Horton & J. Volkert

  2. Department of Mechanical Engineering, Stanford University, Stanford, CA, 94305, USA

    J. H. Ferziger

Authors
  1. P. Bastian
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  2. J. H. Ferziger
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  3. G. Horton
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  4. J. Volkert
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Editor information

Wolfgang Hackbusch

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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Bastian, P., Ferziger, J.H., Horton, G., Volkert, J. (1989). Adaptive Multigrid Solution of the Convection-Diffusion Equation on the Dirmu Multiprocessor. In: Hackbusch, W. (eds) Robust Multi-Grid Methods. Notes on Numerical Fluid Mechanics, vol 23. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86200-6_2

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  • DOI: https://doi.org/10.1007/978-3-322-86200-6_2

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08097-6

  • Online ISBN: 978-3-322-86200-6

  • eBook Packages: Springer Book Archive

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