Viscous Split Algorithms for the Time Dependent Incompressible Navier Stokes Equations

Abstract

For problems involving the processes of convection and diffusion, a viscous split algorithm is one in which each process is solved separately. The emphasis of this paper is the application of this procedure to obtain numerical solutions to the incompressible Navier-Stokes equations. A second order Godunov method is used to solve the convection step of the algorithm. The diffusion step (Stokes equation) is solved by the Galerkin Finite Difference Method which projects the solution onto a discreetly divergence free space using local mesh basis functions. Numerical results for both steady and unsteady flows are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 06, 1989
Accession Number
ADA211592

Entities

People

  • William G. Szymczak

Organizations

  • Naval Surface Warfare Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Classification
  • Computational Science
  • Convection
  • Convergence
  • Equations
  • Flow
  • Navier Stokes Equations
  • Oscillation
  • Personal Information Managers
  • Reynolds Number
  • Security
  • Standards
  • Steady State
  • Surface Warfare
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.

Technology Areas

  • Space