Computational Fluid Dynamics (CFD): Element-by-Element Analysis for Advanced Computers

Abstract

The research has focussed on a class of domain decomposition techniques for solution of problems in Computational Fluid Dynamics using advanced vector and parallel processors. In particular we consider finite element schemes and use the natural element schemes and use the natural element- partition of the domain to construct the decomposition algorithm. This then fits conveniently into the usual framework of finite element calculations in which the primary loop is the independent calculation and assembly of element matrix and vector contributions. By recasting the conjugate gradient method at this level, the system matrix need not be assembled and the intensive matrix-vector product step can be completely parallelized. These ideas constitute a major departure from traditional finite element schemes and we feel our efforts are a major new development that will strongly influence the technology. Parallel processing, Domain decomposition.

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1988
Accession Number
ADA205096

Entities

People

  • Graham F. Carey

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Availability
  • Classification
  • Computational Fluid Dynamics
  • Computers
  • Decomposition
  • Dynamics
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Parallel Computing
  • Parallel Processing
  • Parallel Processors
  • Physics Laboratories
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Parallel and Distributed Computing.