Multi-Model Multi-Domain Computational Methods

A Numerical Laboratory for Multi-Model Multi-Domain Computational Methods in Aerodynamics and Acoustics


Welcome to this NSF-sponsored project, a collaborative research effort among investigators at the Courant Institute, Old Dominion University, the University of Colorado at Boulder, the University of Notre Dame, Argonne National Laboratory, and Boeing Computer Services. (The U.S. Department of Energy, NASA, ICASE, and Boeing have also co-sponsored individual investigators in parts of this work. DOE and NASA have also provided important software.) Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation or the other sponsors.

This research project is concerned with the development of a numerical laboratory that employs domain decomposition for the solution of large-scale aerodynamics and acoustics problems. It is sponsored by the National Science Foundation under the Multidisciplinary Challenges program (NSF report). The project strives to fulfill computationally the legacies of Hermann Schwarz (1843-1921) and Ludwig Prandtl (1875-1953). Schwarz's 1869 paper on what has become known as the "Schwarz alternating method" gave multi-domain algorithms a mathematical foundation that predated by a century their widespread adoption in fine-grained data-parallel scientific computing. Prandtl's work on boundary layer theory in fluid mechanics, beginning with his 1904 paper, is paradigmatic for multi-model algorithms generally, and particularly for asymptotics-induced task-parallel scientific computing.

Highlights points to a combination of project accomplishments. Taken together, they characterize our priorities and progress in bullet form. Overview is a more formal executive summary. Distinctives describes how our project differs from a traditional engineering community computational fluid dynamics development effort. Physical regimes that are motivating our research to date are indexed in Applications. People introduces our project team of nine co-principal investigators and many affiliated colleagues, some post-doctoral, some more junior. A collection of Papers & Software attributable to this project is available, many of them downloadable from author sites. Related Links carries you to a few selected sites of general follow-up interest, in addition to the subtrees of topical links emanating from this top-level menu.

  • A postscript abstract with references, dating from March 1996, is available.
  • A postscript slide commemorating the Newton-Krylov-Schwarz algorithmic framework, central to this project, is available.
  • A postscript slide describing parallel performance data obtained on 512 nodes of the T3E for a fully implicit sparse 3D unstructured CFD problem with 2.8 million tetrahedral vertices is available.
  • A postscript slide comparing parallel performance data obtained on up to 96 nodes of each of the T3E, the SP, and the Origin for a fully implicit sparse 3D unstructured CFD problem with 358 thousand tetrahedral vertices is available.

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    Last modified on October 8, 1997.