Modelling error and constitutive relations in simulation of flow and transport

Graham F. Carey; William Barth; Juliette A. Woods; Benjamin S. Kirk; Michael L. Anderson; Sum Chow; Wolfgang Bangerth

doi:10.1002/fld.797

Modelling error and constitutive relations in simulation of flow and transport

Graham F. Carey, William Barth, Juliette A. Woods, Benjamin S. Kirk, Michael L. Anderson, Sum Chow, Wolfgang Bangerth

Consulting Services Group

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The main theme of this paper is the modelling error associated with the choice of constitutive equations and associated parameter sensitivity. These key concepts are first discussed in a general way and explored in detail subsequently for three flow application problems which share certain similarities not only in the finite element formulation but also in the nature of the non-linear constitutive laws that are investigated. The specific flow problems involve: density driven flow in porous media, the Powell-Eyring model for generalized Newtonian flows, and the related Glen's flow type of constitutive relations for glacier modelling.

Original language	English
Pages (from-to)	1211-1236
Number of pages	26
Journal	International Journal for Numerical Methods in Fluids
Volume	46
Issue number	12
DOIs	https://doi.org/10.1002/fld.797
State	Published - Dec 30 2004

Keywords

Adaptive strategies
Constitutive equations
Finite elements
Modelling error

Access to Document

10.1002/fld.797

Cite this

@article{21c5621716dd4ff8adf4daff5a15a354,

title = "Modelling error and constitutive relations in simulation of flow and transport",

abstract = "The main theme of this paper is the modelling error associated with the choice of constitutive equations and associated parameter sensitivity. These key concepts are first discussed in a general way and explored in detail subsequently for three flow application problems which share certain similarities not only in the finite element formulation but also in the nature of the non-linear constitutive laws that are investigated. The specific flow problems involve: density driven flow in porous media, the Powell-Eyring model for generalized Newtonian flows, and the related Glen's flow type of constitutive relations for glacier modelling.",

keywords = "Adaptive strategies, Constitutive equations, Finite elements, Modelling error",

author = "Carey, \{Graham F.\} and William Barth and Woods, \{Juliette A.\} and Kirk, \{Benjamin S.\} and Anderson, \{Michael L.\} and Sum Chow and Wolfgang Bangerth",

year = "2004",

month = dec,

day = "30",

doi = "10.1002/fld.797",

language = "English",

volume = "46",

pages = "1211--1236",

journal = "International Journal for Numerical Methods in Fluids",

issn = "0271-2091",

publisher = "John Wiley and Sons Ltd",

number = "12",

}

TY - JOUR

T1 - Modelling error and constitutive relations in simulation of flow and transport

AU - Carey, Graham F.

AU - Barth, William

AU - Woods, Juliette A.

AU - Kirk, Benjamin S.

AU - Anderson, Michael L.

AU - Chow, Sum

AU - Bangerth, Wolfgang

PY - 2004/12/30

Y1 - 2004/12/30

N2 - The main theme of this paper is the modelling error associated with the choice of constitutive equations and associated parameter sensitivity. These key concepts are first discussed in a general way and explored in detail subsequently for three flow application problems which share certain similarities not only in the finite element formulation but also in the nature of the non-linear constitutive laws that are investigated. The specific flow problems involve: density driven flow in porous media, the Powell-Eyring model for generalized Newtonian flows, and the related Glen's flow type of constitutive relations for glacier modelling.

AB - The main theme of this paper is the modelling error associated with the choice of constitutive equations and associated parameter sensitivity. These key concepts are first discussed in a general way and explored in detail subsequently for three flow application problems which share certain similarities not only in the finite element formulation but also in the nature of the non-linear constitutive laws that are investigated. The specific flow problems involve: density driven flow in porous media, the Powell-Eyring model for generalized Newtonian flows, and the related Glen's flow type of constitutive relations for glacier modelling.

KW - Adaptive strategies

KW - Constitutive equations

KW - Finite elements

KW - Modelling error

UR - https://www.scopus.com/pages/publications/11244289248

U2 - 10.1002/fld.797

DO - 10.1002/fld.797

M3 - Article

AN - SCOPUS:11244289248

SN - 0271-2091

VL - 46

SP - 1211

EP - 1236

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 12

ER -

Modelling error and constitutive relations in simulation of flow and transport

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this