Numerical stability of the method of Brownian configuration fields

Claude Mangoubi; Martien A. Hulsen; Raz Kupferman

doi:10.1016/j.jnnfm.2008.11.009

Numerical stability of the method of Brownian configuration fields

Claude Mangoubi^*, Martien A. Hulsen, Raz Kupferman

^*Corresponding author for this work

Einstein Institute of Mathematics

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

15 Scopus citations

Abstract

We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23-37].

Original language	English
Pages (from-to)	188-196
Number of pages	9
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	157
Issue number	3
DOIs	https://doi.org/10.1016/j.jnnfm.2008.11.009
State	Published - Apr 2009

Bibliographical note

Funding Information:
RK and CM were partially supported by the Israel Science Foundation. Part of this research was done while CM stayed at the Université de Montréal, Canada and at the CERMICS, ENPC, France. We thank the referees for useful comments.

Keywords

Brownian configuration fields
Finite element method
Flow around a cylinder
Numerical stability

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10.1016/j.jnnfm.2008.11.009

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title = "Numerical stability of the method of Brownian configuration fields",

abstract = "We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23-37].",

keywords = "Brownian configuration fields, Finite element method, Flow around a cylinder, Numerical stability",

author = "Claude Mangoubi and Hulsen, {Martien A.} and Raz Kupferman",

note = "Funding Information: RK and CM were partially supported by the Israel Science Foundation. Part of this research was done while CM stayed at the Universit{\'e} de Montr{\'e}al, Canada and at the CERMICS, ENPC, France. We thank the referees for useful comments.",

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doi = "10.1016/j.jnnfm.2008.11.009",

language = "אנגלית",

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T1 - Numerical stability of the method of Brownian configuration fields

AU - Mangoubi, Claude

AU - Hulsen, Martien A.

AU - Kupferman, Raz

N1 - Funding Information: RK and CM were partially supported by the Israel Science Foundation. Part of this research was done while CM stayed at the Université de Montréal, Canada and at the CERMICS, ENPC, France. We thank the referees for useful comments.

PY - 2009/4

Y1 - 2009/4

N2 - We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23-37].

AB - We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23-37].

KW - Brownian configuration fields

KW - Finite element method

KW - Flow around a cylinder

KW - Numerical stability

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VL - 157

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JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

IS - 3

ER -

Numerical stability of the method of Brownian configuration fields

Abstract

Bibliographical note

Keywords

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