C(0) Collocation Solutions for Weak-Formulation Navier-Stokes Equations.

Abstract

A global collocation procedure was attempted on two-D Navier-Stokes equations, but suffered from significant ringing. Historically, multi-element collocation has been based on Hermit shape functions for Navier-Stokes. Alternative, a weak formulation Navier-Stokes solution was developed using biquadratic Lagrangian functions on element boundaries and discrete Galerkin (collocation) expressions on interiors. To account for pressure, a penalty function expression was evaluated as part of a weighted integral, using bilinear shape functions. This method was exercised on flow through a duct that included a pivoting flap that protruded into the flow where the flap motion and fluid flow interacted. Keywords: Fluid flow; Navier-Stokes equations; Collocation; Finite element method; Interaction.

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Document Details

Document Type
Technical Report
Publication Date
Jun 19, 1985
Accession Number
ADA157250

Entities

People

  • E. Mcreynolds
  • E. Ray
  • H. Migliore

Organizations

  • Portland State University

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Classification
  • Continuity
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Geometry
  • Lagrangian Functions
  • Mechanical Engineering
  • Military Research
  • Navier Stokes Equations
  • Traction
  • Two Dimensional
  • Weighting Functions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.