A Fast Algorithm for Non-Newtonian Flow.

Abstract

The goals of the project described here are twofold: First, to turn an existing pilot algorithm for the steady flow of non-Newtonian memory fluids into a robust and efficient algorithm. Second, render enhancements of the method's current capabilities computationally feasible. Such enhancements include fully coupled thermal dependence, material compressibility, and free surface flows. The pilot algorithm is a finite element method whose novelty lies in its computation of the stress field in a nonlinear iteration scheme. The stress at a point is a non-local functional of the current velocity iterate, and the pilot method has demonstrated the feasibility of reliable computation with such constitutive equations. Before the method can take its place as a reliable scientific and engineering tool, intensive effort must be made to reduce the computational cost in the manner described here. Keywords:Equations of motion; Viscoelastic fluids; Fluid flow. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA160977

Entities

People

  • David S. Malkus

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Materials
  • Mathematics
  • Steady Flow
  • Steady State
  • Stratified Fluids
  • United States

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  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.
  • Operations Research