Parallel Implicit Unstructured Grid Euler Solvers

Abstract

A mesh-vertex finite volume scheme for solving the Euler equations on triangular unstructured meshes is implemented on an MIMD (multiple instruction/ multiple data stream) parallel computer. An explicit four-stage Runge-Kutta scheme is used to solve two-dimensional flow problems. A family of implicit schemes is also developed to solve these problems, where the linear system that arises at each time step is solved by a preconditioned GMRES algorithm. Two partitioning strategies are employed, one that partitions triangles and the other that partitions vertices. The choice of the preconditioner in a distributed memory setting is discussed. All the methods are compared both in terms of elapsed times and convergence rates. It is shown that the implicit schemes offer adequate parallelism at the expense of minimal sequential overhead. The use of a global coarse grid to further minimize this overhead is also investigated. The schemes are implemented on a distributed memory parallel computer, the iPSC/860. Implicit, Unstructured, Parallel.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA277581

Entities

People

  • V. Venkatakrishnan

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Integrals
  • Linear Systems
  • Parallel Computing
  • Steady State
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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