Fast Algorithms for Euler and Navier-Stokes Simulations.

Abstract

An explicit flow solver, applicable to the hierarchy of model equations ranging from Euler to full Navier-Stokes, was combined with several techniques designed to reduce computational expense. The computational domain consisted of local grid refinements embedded in a global coarse mesh, where the locations of these refinements are defined by the physics of the flow. Flow characteristics were also used to determine which set of model equations is appropriate for solution in each region, thereby reducing not only the number of grid points at which the solution must be obtained, but also the computational effort required to get that solution. Acceleration to steady-state was achieved by applying multigrid on each of the subgrids, regardless of the particular model equations being solved. Since each of these components is explicit, advantage could readily be taken of the vector-and parallel-processing capabilities of machines such as the Cray X-MP and Cray 2.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1987
Accession Number
ADA190897

Entities

People

  • G. M. Johnson

Tags

Communities of Interest

  • Cyber
  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Computational Fluid Dynamics
  • Computer Programming
  • Computers
  • Equations
  • Equations Of Motion
  • Euler Equations
  • Foreign Languages
  • Navier Stokes Equations
  • Notation
  • Parallel Computing
  • Parallel Processing
  • Simulations
  • Steady State
  • Three Dimensional
  • Two Dimensional

Readers

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