A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

Shang Huan Chiu; Tsorng Whay Pan; Roland GLOWINSKI

doi:10.1016/j.compfluid.2018.02.006

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

Shang Huan Chiu, Tsorng Whay Pan^*, Roland GLOWINSKI

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

11 Citations (Scopus)

Abstract

We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1. The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.

Original language	English
Pages (from-to)	661-673
Number of pages	13
Journal	Computers and Fluids
Volume	172
DOIs	https://doi.org/10.1016/j.compfluid.2018.02.006
Publication status	Published - 30 Aug 2018

Scopus Subject Areas

Computer Science(all)
Engineering(all)

User-Defined Keywords

Distributed Lagrange multiplier/fictitious domain methods
Neutrally buoyant particles
Oldroyd-B fluid
Shear flow

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10.1016/j.compfluid.2018.02.006

Cite this

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title = "A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids",

abstract = "We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1. The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.",

keywords = "Distributed Lagrange multiplier/fictitious domain methods, Neutrally buoyant particles, Oldroyd-B fluid, Shear flow",

author = "Chiu, {Shang Huan} and Pan, {Tsorng Whay} and Roland GLOWINSKI",

note = "Funding Information: This work was supported by NSF (grant DMS–1418308 ). Funding Information: This work was supported by NSF (grant DMS?1418308).",

year = "2018",

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doi = "10.1016/j.compfluid.2018.02.006",

language = "English",

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journal = "Computers and Fluids",

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T1 - A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

AU - Chiu, Shang Huan

AU - Pan, Tsorng Whay

AU - GLOWINSKI, Roland

N1 - Funding Information: This work was supported by NSF (grant DMS–1418308 ). Funding Information: This work was supported by NSF (grant DMS?1418308).

PY - 2018/8/30

Y1 - 2018/8/30

N2 - We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1. The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.

AB - We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1. The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.

KW - Distributed Lagrange multiplier/fictitious domain methods

KW - Neutrally buoyant particles

KW - Oldroyd-B fluid

KW - Shear flow

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U2 - 10.1016/j.compfluid.2018.02.006

DO - 10.1016/j.compfluid.2018.02.006

M3 - Journal article

AN - SCOPUS:85042007165

SN - 0045-7930

VL - 172

SP - 661

EP - 673

JO - Computers and Fluids

JF - Computers and Fluids

ER -

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

Abstract

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