A Novel Approach to the Numerical Simulation of Turbulent Flows.

Abstract

During the period covered by this report we have studied the global dynamics of incompressible, viscous fluid motion. This activity included a study of discrete dynamical systems generated by temporal and spatial discretizations of the Navier Stokes equations. We investigated the existence of absorbing sets and attractors associated with the two dimensional Navier-Stokes equations. The dynamical properties of various finite difference and finite element schemes for these equations were also considered. Our goal was to investigate the existence of spurious steady state solutions.

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Document Details

Document Type
Technical Report
Publication Date
Nov 07, 1994
Accession Number
ADA290352

Entities

People

  • James C. Turner Jr

Organizations

  • Central State University

Tags

DTIC Thesaurus Topics

  • Chemical Vapor Deposition
  • Computational Fluid Dynamics
  • Computational Science
  • Current Density
  • Differential Equations
  • Dynamics
  • Equations
  • Flow
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Navier Stokes Equations
  • Partial Differential Equations
  • Simulations
  • Steady State
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers