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Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics

Adolfo Vazquez-Quesada, Xin Bian, Marco Ellero

Computational Particle Mechanics, Volume: 3, Issue: 2, Pages: 167 - 178

Swansea University Authors: Adolfo Vazquez-Quesada, Marco Ellero

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DOI (Published version): 10.1007/s40571-015-0072-5

Abstract

A three-dimensional model for a suspension of rigid spherical particles in a Newtonian fluid is presented. The solvent is modeled with smoothed particle hydrodynamics method, which takes into account exactly the long-range multi-body hydrodynamic interactions between suspended spheres. Short-range l...

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Published in: Computational Particle Mechanics
ISSN: 2196-4378 2196-4386
Published: Springer Science and Business Media LLC 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa25442
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first_indexed 2016-01-08T01:53:31Z
last_indexed 2020-05-26T12:36:16Z
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spelling 2020-05-26T10:38:45.5355115 v2 25442 2016-01-07 Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics 14cfebea6166c6de4a9764b6e98e794c Adolfo Vazquez-Quesada Adolfo Vazquez-Quesada true false 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 2016-01-07 EEN A three-dimensional model for a suspension of rigid spherical particles in a Newtonian fluid is presented. The solvent is modeled with smoothed particle hydrodynamics method, which takes into account exactly the long-range multi-body hydrodynamic interactions between suspended spheres. Short-range lubrication forces which are necessary to simulate concentrated suspensions, are introduced pair-wisely based on the analytical solution of Stokes equations for approaching/departing objects. Given that lubrication is singular at vanishing solid particle separations, an implicit splitting integration scheme is used to obtain accurate results and at the same time to avoid prohibitively small simulation time steps. Hydrodynamic interactions between solid particles, at both long-range and short-range limits, are verified against theory in the case of two approaching spheres in a quiescent medium and under bulk shear flow, where good agreements are obtained. Finally, numerical results for the suspension viscosity of a many-particle system are shown and compared with analytical solutions available in the dilute and semi-dilute case as well as with previous numerical results obtained in the concentrated limit. Journal Article Computational Particle Mechanics 3 2 167 178 Springer Science and Business Media LLC 2196-4378 2196-4386 1 4 2016 2016-04-01 10.1007/s40571-015-0072-5 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-05-26T10:38:45.5355115 2016-01-07T10:57:50.7923532 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Adolfo Vazquez-Quesada 1 Xin Bian 2 Marco Ellero 3
title Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
spellingShingle Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
Adolfo Vazquez-Quesada
Marco Ellero
title_short Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
title_full Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
title_fullStr Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
title_full_unstemmed Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
title_sort Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics
author_id_str_mv 14cfebea6166c6de4a9764b6e98e794c
84f2af0791d38bdbf826728de7e5c69d
author_id_fullname_str_mv 14cfebea6166c6de4a9764b6e98e794c_***_Adolfo Vazquez-Quesada
84f2af0791d38bdbf826728de7e5c69d_***_Marco Ellero
author Adolfo Vazquez-Quesada
Marco Ellero
author2 Adolfo Vazquez-Quesada
Xin Bian
Marco Ellero
format Journal article
container_title Computational Particle Mechanics
container_volume 3
container_issue 2
container_start_page 167
publishDate 2016
institution Swansea University
issn 2196-4378
2196-4386
doi_str_mv 10.1007/s40571-015-0072-5
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
active_str 0
description A three-dimensional model for a suspension of rigid spherical particles in a Newtonian fluid is presented. The solvent is modeled with smoothed particle hydrodynamics method, which takes into account exactly the long-range multi-body hydrodynamic interactions between suspended spheres. Short-range lubrication forces which are necessary to simulate concentrated suspensions, are introduced pair-wisely based on the analytical solution of Stokes equations for approaching/departing objects. Given that lubrication is singular at vanishing solid particle separations, an implicit splitting integration scheme is used to obtain accurate results and at the same time to avoid prohibitively small simulation time steps. Hydrodynamic interactions between solid particles, at both long-range and short-range limits, are verified against theory in the case of two approaching spheres in a quiescent medium and under bulk shear flow, where good agreements are obtained. Finally, numerical results for the suspension viscosity of a many-particle system are shown and compared with analytical solutions available in the dilute and semi-dilute case as well as with previous numerical results obtained in the concentrated limit.
published_date 2016-04-01T03:30:25Z
_version_ 1763751205548326912
score 11.017731

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