A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids

Andrea Fasano; Henrik K. Rasmussen

doi:10.1016/j.jnnfm.2017.05.003

A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids

Andrea Fasano, Henrik K. Rasmussen

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Abstract

A third order accurate, in time and space, finite element scheme for the numerical simulation of three- dimensional time-dependent flow of the molecular stress function type of fluids in a generalized formu- lation is presented. The scheme is an extension of the K-BKZ Lagrangian finite element method presented by Marín and Rasmussen (2009).

Original language	English
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	246
Pages (from-to)	10-20
ISSN	0377-0257
DOIs	https://doi.org/10.1016/j.jnnfm.2017.05.003
Publication status	Published - 2017

Keywords

Lagrangian
Finite element
Molecular stress function
Polymer melt
Melt

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10.1016/j.jnnfm.2017.05.003

Manuscript JNNFMAccepted author manuscript, 18.3 MBLicence: Unspecified

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abstract = "A third order accurate, in time and space, finite element scheme for the numerical simulation of three- dimensional time-dependent flow of the molecular stress function type of fluids in a generalized formu- lation is presented. The scheme is an extension of the K-BKZ Lagrangian finite element method presented by Mar{\'i}n and Rasmussen (2009).",

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author = "Andrea Fasano and Rasmussen, {Henrik K.}",

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T1 - A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids

AU - Fasano, Andrea

AU - Rasmussen, Henrik K.

PY - 2017

Y1 - 2017

N2 - A third order accurate, in time and space, finite element scheme for the numerical simulation of three- dimensional time-dependent flow of the molecular stress function type of fluids in a generalized formu- lation is presented. The scheme is an extension of the K-BKZ Lagrangian finite element method presented by Marín and Rasmussen (2009).

AB - A third order accurate, in time and space, finite element scheme for the numerical simulation of three- dimensional time-dependent flow of the molecular stress function type of fluids in a generalized formu- lation is presented. The scheme is an extension of the K-BKZ Lagrangian finite element method presented by Marín and Rasmussen (2009).

KW - Lagrangian

KW - Finite element

KW - Molecular stress function

KW - Polymer melt

KW - Melt

U2 - 10.1016/j.jnnfm.2017.05.003

DO - 10.1016/j.jnnfm.2017.05.003

M3 - Journal article

SN - 0377-0257

VL - 246

SP - 10

EP - 20

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

ER -

A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids

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Keywords

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