Ebook: Solution of Superlarge Problems in Computational Mechanics
Author: Farzin Shakib Thomas J. R Hughes (auth.) James H. Kane Arthur D. Carlson Donald L. Cox (eds.)
- Tags: Characterization and Evaluation of Materials
- Year: 1990
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages i-viii
Element-By-Element Algorithms for Nonsymmetric Matrix Problems Arising in Fluids....Pages 1-33
A Substructure-Based Parallel Algorithm for Large Structure Eigenvalue Problems....Pages 35-48
Parallel Spectral Element Methods For The Incompressible Navier-Stokes Equations....Pages 49-65
A Project for Developing a Linear Algebra Library for High-Performance Computers....Pages 67-71
A Comparison of Element-By-Element Preconditioned Iterative Methods for Solid and Structural Mechanics....Pages 73-93
TranAir Technology: Solutions for Large PDE Problems....Pages 95-124
Component Mode Iteration Technique Applied to Modal Calculation for Fluid/Structure Interaction....Pages 125-135
The Coupling of Finite Elements and Boundary Elements for Structural Acoustics....Pages 137-149
Vector Concurrent Computations of Explicit Finite Element Processes....Pages 151-165
Taylor’s Vortex Array: A New Test Problem for Navier-Stokes Solution Procedures....Pages 167-181
Application of the EBE (Element-By-Element) Preconditioned Conjugate Gradient Algorithm to the Fluid (Acoustic)/Structure Problem....Pages 183-207
Navier Stokes Computations of a Turbulent Horseshoe Vortex Around an Endwall Mounted Cylinder....Pages 209-227
Numerical Integration and Sparse Blocked Equation Solution Techniques for Large Scale Boundary Element Analysis....Pages 229-250
Domain Decomposition Techniques for Large Sparse Nonsymmetric Systems Arising from Elliptic Problems with First-Order Terms....Pages 251-266
Parallel Computation in Mechanics....Pages 267-283
Very Large-Scale Finite Element Wave Simulations, Inverse Modeling, and “Hardware Coded” Algorithms....Pages 285-301
Back Matter....Pages 303-305
Content:
Front Matter....Pages i-viii
Element-By-Element Algorithms for Nonsymmetric Matrix Problems Arising in Fluids....Pages 1-33
A Substructure-Based Parallel Algorithm for Large Structure Eigenvalue Problems....Pages 35-48
Parallel Spectral Element Methods For The Incompressible Navier-Stokes Equations....Pages 49-65
A Project for Developing a Linear Algebra Library for High-Performance Computers....Pages 67-71
A Comparison of Element-By-Element Preconditioned Iterative Methods for Solid and Structural Mechanics....Pages 73-93
TranAir Technology: Solutions for Large PDE Problems....Pages 95-124
Component Mode Iteration Technique Applied to Modal Calculation for Fluid/Structure Interaction....Pages 125-135
The Coupling of Finite Elements and Boundary Elements for Structural Acoustics....Pages 137-149
Vector Concurrent Computations of Explicit Finite Element Processes....Pages 151-165
Taylor’s Vortex Array: A New Test Problem for Navier-Stokes Solution Procedures....Pages 167-181
Application of the EBE (Element-By-Element) Preconditioned Conjugate Gradient Algorithm to the Fluid (Acoustic)/Structure Problem....Pages 183-207
Navier Stokes Computations of a Turbulent Horseshoe Vortex Around an Endwall Mounted Cylinder....Pages 209-227
Numerical Integration and Sparse Blocked Equation Solution Techniques for Large Scale Boundary Element Analysis....Pages 229-250
Domain Decomposition Techniques for Large Sparse Nonsymmetric Systems Arising from Elliptic Problems with First-Order Terms....Pages 251-266
Parallel Computation in Mechanics....Pages 267-283
Very Large-Scale Finite Element Wave Simulations, Inverse Modeling, and “Hardware Coded” Algorithms....Pages 285-301
Back Matter....Pages 303-305
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