A Fractional Step Theta-Method for Viscoelastic Fluid Flow Using a UPG Approximation

Abstract

In this article a fractional step theta-method is described and studied for the approximation of time dependent viscoelastic fluid flow equations, using the Johnson-Segalman constitutive model. The theta-method implementation allows the velocity and pressure approximations to be decoupled from the stress, reducing the number of unknowns resolved at each step of the method. The constitutive equation is stabilized using a Streamline Upwinded Petrov-Galerkin "SUPG"-method. A priori error estimates are given for the approximation scheme. Numerical computations supporting the theoretical results and demonstrating the theta-method are also presented.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2007
Accession Number
ADA473838

Entities

People

  • E. W. Jenkins
  • J. C. Chrispell
  • Vincent J. Ervin

Organizations

  • Clemson University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Constitutive Equations
  • Equations
  • Errors
  • Flow
  • Fluid Flow
  • Geometry
  • Inequalities
  • Linear Systems
  • Mathematics
  • Notation
  • Poiseuille Flow
  • Steady State
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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