Solution of Superlarge Problems in Computational Mechanics

ISBN-13: 9781461278542 / Angielski / Miękka / 2011 / 306 str.

James H. Kane; James H. Kane

Opis

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."

Spis treści

Element-By-Element Algorithms for Nonsymmetric Matrix Problems Arising in Fluids.- A Substructure-Based Parallel Algorithm for Large Structure Eigenvalue Problems.- Parallel Spectral Element Methods for the Incompressible Navier-Stokes Equations.- A Project for Developing a Linear Algebra Library for High Performance Computers.- A Comparison of Element-By-Element Preconditioned Iterative Methods for Solid and Structural Mechanics.- Tranair Technology: Solutions for Large PDE Problems.- Component Mode Iteration Technique Applied to Modal Calculation for Fluid/Structure Interaction.- The Coupling of Finite Elements and Boundary Elements for Structural Acoustics.- Vector Concurrent Computations of Explicit Finite Element Processes.- Taylor’s Vortex Array: A New Test Problem for Navier-Stokes Solution Procedures.- Application of the EBE (Element-By-Element) Preconditioned Conjugate Gradient Algorithm to the Fluid (Acoustic) / Structure Problem.- Navier Stokes Computations of a Turbulent Horseshoe Vortex Around an Endwall Mounted Cylinder.- Numerical Integration and Sparse Blocked Equation Solution Techniques for Large Scale Boundary Element Analysis.- Domain Decomposition Techniques for Large Sparse Nonsymmetric Systems Arising from Elliptic Problems with First-Order Terms.- Parallel Computation in Mechanics.- Very Large Scale-Finite Element Wave Simulations, Inverse Modelings, and “Hardware Coded” Algorithms.