Implicit Method for the Computation of Unsteady Flows on Unstructured Grids.

Abstract

An implicit method for the computation of unsteady flows on unstructured grids is presented. Following a finite difference approximation for the time derivative, the resulting nonlinear system of equations is solved at each time step by using an agglomeration multigrid procedure. The method allows for arbitrarily large time steps and is efficient in terms of computational effort and storage. Inviscid and viscous unsteady flows are computed to validate the procedure. The issue of the mass matrix which arises with vertex-centered finite volume schemes is addressed. The present formulation allows the mass matrix to be inverted indirectly. A mesh point movement and reconnection procedure is described that allows the grids to evolve with the motion of bodies. As an example of flow over bodies in relative motion, flow over a multi-element airfoil system undergoing deployment is computed.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1995
Accession Number
ADA299899

Entities

People

  • D. J. Mavriplis
  • V. Venkatakrishnan

Tags

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Deployment
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Nonlinear Systems
  • Relative Motion
  • Steady Flow
  • Three Dimensional
  • Unsteady Flow
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)