Lattice Boltzmann Formulation for Linear Viscoelastic Fluids Using an Abstract Second Stress

SIAM Journal on Scientific Computing ◽

10.1137/130940372 ◽

2014 ◽

Vol 36 (6) ◽

pp. A2507-A2532 ◽

Author(s):

Paul J. Dellar

Keyword(s):

Lattice Boltzmann ◽

Viscoelastic Fluids ◽

Linear Viscoelastic

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A Lattice Boltzmann Model for the Numerical Simulation of Non-Linear Viscoelastic Fluids

Progress and Trends in Rheology V ◽

10.1007/978-3-642-51062-5_166 ◽

1998 ◽

pp. 349-350

Author(s):

L. Giraud

Keyword(s):

Numerical Simulation ◽

Lattice Boltzmann ◽

Viscoelastic Fluids ◽

Lattice Boltzmann Model ◽

Linear Viscoelastic ◽

Boltzmann Model

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Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluids

Physical Review E ◽

10.1103/physreve.67.021203 ◽

2003 ◽

Vol 67 (2) ◽

Author(s):

Pierre Lallemand ◽

Dominique d’Humières ◽

Li-Shi Luo ◽

Robert Rubinstein

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Three Dimensional ◽

Viscoelastic Fluids ◽

Dimensional Model ◽

Three Dimensional Model ◽

Linear Viscoelastic ◽

Boltzmann Method

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Simulations of viscoelastic fluids using a coupled lattice Boltzmann method: Transition states of elastic instabilities

AIP Advances ◽

10.1063/1.5004612 ◽

2017 ◽

Vol 7 (11) ◽

pp. 115013 ◽

Author(s):

Jin Su ◽

Lei Ma ◽

Jie Ouyang ◽

Chunjuan Feng

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Transition States ◽

Viscoelastic Fluids ◽

Elastic Instabilities ◽

Boltzmann Method

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Isothermal tube flow of non-linear viscoelastic fluids. Part I: Constitutive instabilities and the longitudinal field

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2011.10.005 ◽

2012 ◽

Vol 56 ◽

pp. 111-126

Author(s):

Dennis A. Siginer

Keyword(s):

Viscoelastic Fluids ◽

Tube Flow ◽

Longitudinal Field ◽

Linear Viscoelastic

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Graetz problem with non-linear viscoelastic fluids in non-circular tubes

International Journal of Thermal Sciences ◽

10.1016/j.ijthermalsci.2012.06.011 ◽

2012 ◽

Vol 61 ◽

pp. 50-60 ◽

Author(s):

A. Filali ◽

L. Khezzar ◽

D. Siginer ◽

Z. Nemouchi

Keyword(s):

Viscoelastic Fluids ◽

Circular Tubes ◽

Graetz Problem ◽

Linear Viscoelastic

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Resonance in laminar pipe flow of non-linear viscoelastic fluids

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2019.03.015 ◽

2019 ◽

Vol 115 ◽

pp. 53-60 ◽

Author(s):

Mario F. Letelier ◽

Dennis A. Siginer ◽

Diego L. Almendra ◽

Juan S. Stockle

Keyword(s):

Pipe Flow ◽

Viscoelastic Fluids ◽

Linear Viscoelastic ◽

Laminar Pipe Flow

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An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109487 ◽

2020 ◽

Vol 415 ◽

pp. 109487 ◽

Author(s):

Jingtao Ma ◽

Zhen Wang ◽

John Young ◽

Joseph C.S. Lai ◽

Yi Sui ◽

...

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Fluid Structure Interaction ◽

Viscoelastic Fluids ◽

Immersed Boundary ◽

Complex Geometries ◽

Fluid Structure ◽

Structure Interaction ◽

Boltzmann Method

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Some Controllability Results for Linear Viscoelastic Fluids

SIAM Journal on Control and Optimization ◽

10.1137/100813592 ◽

2012 ◽

Vol 50 (2) ◽

pp. 900-924 ◽

Author(s):

J.L. Boldrini ◽

A. Doubova ◽

E. Fernández-Cara ◽

M. González-Burgos

Keyword(s):

Viscoelastic Fluids ◽

Linear Viscoelastic

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On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids

Journal of Inequalities and Applications ◽

10.1155/2010/932053 ◽

2010 ◽

Vol 2010 (1) ◽

pp. 932053 ◽

Author(s):

PA Razafimandimby

Keyword(s):

Stochastic Models ◽

Viscoelastic Fluids ◽

Linear Viscoelastic

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Analytical solution of the Graetz problem for non-linear viscoelastic fluids in tubes of arbitrary cross-section

International Journal of Thermal Sciences ◽

10.1016/j.ijthermalsci.2016.05.034 ◽

2017 ◽

Vol 111 ◽

pp. 369-378 ◽

Author(s):

Mario F. Letelier ◽

Cristian B. Hinojosa ◽

Dennis A. Siginer

Keyword(s):

Analytical Solution ◽

Cross Section ◽

Viscoelastic Fluids ◽

Arbitrary Cross Section ◽

Graetz Problem ◽

Linear Viscoelastic

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