Solution of Superlarge Problems in Computational Mechanics

1. Front Matter

   Pages i-viii

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2. Element-By-Element Algorithms for Nonsymmetric Matrix Problems Arising in Fluids

   • Farzin Shakib, Thomas J. R Hughes, Zdenëk Johan

   Pages 1-33

3. A Substructure-Based Parallel Algorithm for Large Structure Eigenvalue Problems

   • Jeffrey K. Bennighof, Michael C. Sciascia

   Pages 35-48

4. Parallel Spectral Element Methods For The Incompressible Navier-Stokes Equations

   • Paul F. Fischer, Anthony T. Patera

   Pages 49-65

5. A Project for Developing a Linear Algebra Library for High-Performance Computers

   • J. Demmel, J. Dongarra, J. DuCroz, A. Greenbaum, S. Hammarling, D. Sorensen

   Pages 67-71

6. A Comparison of Element-By-Element Preconditioned Iterative Methods for Solid and Structural Mechanics

   • Robert M. Ferencz

   Pages 73-93

7. TranAir Technology: Solutions for Large PDE Problems

   • John E. Bussoletti, Forrester T. Johnson, David P. Young, Robin G. Melvin, Richard H. Burkhart, Michael B. Bieterman et al.

   Pages 95-124

8. Component Mode Iteration Technique Applied to Modal Calculation for Fluid/Structure Interaction

   • Jean-Guy Beliveau

   Pages 125-135

9. The Coupling of Finite Elements and Boundary Elements for Structural Acoustics

   • Gordon C. Everstine

   Pages 137-149

10. Vector Concurrent Computations of Explicit Finite Element Processes

    • Shohei Nakazawa

    Pages 151-165

11. Taylor’s Vortex Array: A New Test Problem for Navier-Stokes Solution Procedures

    • Daniel T. Valentine, A. Gaber Mohamed

    Pages 167-181

12. Application of the EBE (Element-By-Element) Preconditioned Conjugate Gradient Algorithm to the Fluid (Acoustic)/Structure Problem

    • Robert T. Chapman, Donald L. Cox

    Pages 183-207

13. Navier Stokes Computations of a Turbulent Horseshoe Vortex Around an Endwall Mounted Cylinder

    • Craig Wagner

    Pages 209-227

14. Numerical Integration and Sparse Blocked Equation Solution Techniques for Large Scale Boundary Element Analysis

    • James H. Kane, Sunil Saigal

    Pages 229-250

15. Domain Decomposition Techniques for Large Sparse Nonsymmetric Systems Arising from Elliptic Problems with First-Order Terms

    • >David E. Keyes, William D. Gropp, Ali Ecder

    Pages 251-266

16. Parallel Computation in Mechanics

    • Gary M. Johnson

    Pages 267-283

17. Very Large-Scale Finite Element Wave Simulations, Inverse Modeling, and “Hardware Coded” Algorithms

    • Gregory L. Wojcik

    Pages 285-301

18. Back Matter

    Pages 303-305

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There is a need to solve problems in solid and fluid mechanics that currently exceed the resources of current and foreseeable supercomputers. The issue revolves around the number of degrees of freedom of simultaneous equations that one needs to accurately describe the problem, and the computer storage and speed limitations which prohibit such solutions. The goals of tHis symposium were to explore some of the latest work being done in both industry and academia to solve such extremely large problems, and to provide a forum for the discussion and prognostication of necessary future direc­ tions of both man and machine. As evidenced in this proceedings we believe these goals were met. Contained in this volume are discussions of: iterative solvers, and their application to a variety of problems, e.g. structures, fluid dynamics, and structural acoustics; iterative dynamic substructuring and its use in structural acoustics; the use of the boundary element method both alone and in conjunction with the finite element method; the application of finite difference methods to problems of incompressible, turbulent flow; and algorithms amenable to concurrent computations and their applications. Furthermore, discussions of existing computational shortcomings from the big picture point of view are presented that include recommendations for future work.

• acoustics
• algebra
• boundary element method
• computational mechanics
• finite element method
• flow
• fluid
• fluid mechanics
• future
• industry
• linear algebra
• modeling
• partial differential equation
• structural mechanics
• turbulent flow

• Clarkson University, Potsdam, USA

  James H. Kane

• Naval Underwater Systems Center, New London, USA

  Arthur D. Carlson, Donald L. Cox

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