Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation

Authors:
Vincent J. Ervin;William W. Miles
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2003

Citing 0
Cited 4

Numerical simulations of shear dependent viscoelastic flows with a combined finite element-finite volume method

Computers & Mathematics with Applications
A fractional step θ-method approximation of time-dependent viscoelastic fluid flow

Journal of Computational and Applied Mathematics
Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow

Journal of Computational and Applied Mathematics
Stabilized finite element method for the viscoelastic Oldroyd fluid flows

Numerical Algorithms

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Abstract

In this article we consider the numerical approximation to the time-dependent viscoelasticity equations with an Oldroyd B constitutive equation. The approximation is stabilized by using a streamline upwind Petrov--Galerkin (SUPG) approximation for the constitutive equation. We analyze both the semidiscrete and fully discrete numerical approximations. For both discretizations we prove the existence of, and derive a priori error estimates for, the numerical approximations.