\(p\)-version least squares finite element formulation for axisymmetric incompressible non-Newtonian fluid flow
type: Item
instance of: scholarly article
title: \(p\)-version least squares finite element formulation for axisymmetric incompressible non-Newtonian fluid flow
zbMATH Open document ID: 0846.76045
DOI: 10.1016/0045-7825(94)90050-7
author: Nathan B. Edgar
author: K. S. Surana
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-10-03T00:00:00Z
review text: The paper presents a \(p\)-version least squares finite element formulation for axisymmetric incompressible non-Newtonian fluid flow. The dimensionless form of the equations describing the fluid motion in cast into a set of first order coupled partial differential equations involving non-Newtonian stresses as auxiliary variables. The pressure, velocities (primary variables) and the stresses (auxiliary variables) are interpolated using equal order, \(C^0\) continuous, \(p\)-version hierarchical approximation functions. The least squares functional (or error functional) is constructed using the system of coupled first order nonlinear partial differential equations (integrated sum of squares of the errors resulting from the individual equations for the entire discretization) without linearization, approximations or assumptions. The paper presents an implementation of the power law model for non-Newtonian viscosity.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 873979
zbMATH Keywords: non-Newtonian stresses
zbMATH Keywords: \(p\)-version hierarchical approximation functions
zbMATH Keywords: error functional
zbMATH Keywords: power law model
MaRDI profile type: Publication
full work available at URL: 0045-7825(94)90050-7
OpenAlex ID: W2067099342
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description: scientific article; zbMATH DE number 873979