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Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)

Liang Yang, Antonio Gil Orcid Logo, Aurelio Arranz Carreño, Javier Bonet

International Journal for Numerical Methods in Fluids, Volume: 86, Issue: 1, Pages: 78 - 106

Swansea University Author: Antonio Gil Orcid Logo

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DOI (Published version): 10.1002/fld.4408

Abstract

In this paper, we present a two-dimensional computational framework for the simulation of fluid-structure interaction problems involving incompressible flexible solids and multiphase flows, further extending the application range of classical immersed computational approaches to the context of hydro...

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Published in: International Journal for Numerical Methods in Fluids
ISSN: 0271-2091
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa34760
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spelling 2018-01-02T14:21:00.2850226 v2 34760 2017-07-27 Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM) 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2017-07-27 CIVL In this paper, we present a two-dimensional computational framework for the simulation of fluid-structure interaction problems involving incompressible flexible solids and multiphase flows, further extending the application range of classical immersed computational approaches to the context of hydrodynamics. The proposed method aims to overcome shortcomings such as the restriction of having to deal with similar density ratios among different phases or the restriction to solve single-phase flows. First, a variation of classical immersed techniques, pioneered with the Immersed Boundary Method [1], is presented by rearranging the governing equations which define the behaviour of the multiple physics involved. The formulation is compatible with the ‘one-fluid’ formulation for two phase flows and can deal with large density ratios with the help of an anisotropic Poisson solver. Second, immersed deformable structures and fluid phases are modelled in an identical manner except for the computation of the deviatoric stresses. The numerical technique followed in this paper builds upon the Immersed Structural Potential Method [2] developed by the authors, by adding a Level Set based method for the capturing of the fluid-fluid interfaces and an interface Lagrangian based meshless technique for the tracking of the fluid-structure interface. The spatial discretisation is based on the standard Marker-and-Cell method used in conjunction with a fractional step approach for the pressure/velocity decoupling, a second order time integrator and a fixed point iterative scheme. The paper presents a wide range of two-dimensional applications involving multiphase flows interacting with immersed deformable solids, including benchmarking against both experimental and alternative numerical schemes. Journal Article International Journal for Numerical Methods in Fluids 86 1 78 106 0271-2091 Unified one-fluid formulation; fluid-structure interaction; ISPM; hydrodynamics; immersed boundary; level sets 31 12 2018 2018-12-31 10.1002/fld.4408 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2018-01-02T14:21:00.2850226 2017-07-27T08:59:24.7385517 College of Engineering Engineering Liang Yang 1 Antonio Gil 0000-0001-7753-1414 2 Aurelio Arranz Carreño 3 Javier Bonet 4 0034760-27072017111029.pdf yang2017.pdf 2017-07-27T11:10:29.5670000 Output 8653126 application/pdf Accepted Manuscript true 2018-06-23T00:00:00.0000000 false eng
title Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
spellingShingle Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
Antonio, Gil
title_short Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
title_full Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
title_fullStr Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
title_full_unstemmed Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
title_sort Unified one-fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio, Gil_***_0000-0001-7753-1414
author Antonio, Gil
author2 Liang Yang
Antonio Gil
Aurelio Arranz Carreño
Javier Bonet
format Journal article
container_title International Journal for Numerical Methods in Fluids
container_volume 86
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container_start_page 78
publishDate 2018
institution Swansea University
issn 0271-2091
doi_str_mv 10.1002/fld.4408
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
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description In this paper, we present a two-dimensional computational framework for the simulation of fluid-structure interaction problems involving incompressible flexible solids and multiphase flows, further extending the application range of classical immersed computational approaches to the context of hydrodynamics. The proposed method aims to overcome shortcomings such as the restriction of having to deal with similar density ratios among different phases or the restriction to solve single-phase flows. First, a variation of classical immersed techniques, pioneered with the Immersed Boundary Method [1], is presented by rearranging the governing equations which define the behaviour of the multiple physics involved. The formulation is compatible with the ‘one-fluid’ formulation for two phase flows and can deal with large density ratios with the help of an anisotropic Poisson solver. Second, immersed deformable structures and fluid phases are modelled in an identical manner except for the computation of the deviatoric stresses. The numerical technique followed in this paper builds upon the Immersed Structural Potential Method [2] developed by the authors, by adding a Level Set based method for the capturing of the fluid-fluid interfaces and an interface Lagrangian based meshless technique for the tracking of the fluid-structure interface. The spatial discretisation is based on the standard Marker-and-Cell method used in conjunction with a fractional step approach for the pressure/velocity decoupling, a second order time integrator and a fixed point iterative scheme. The paper presents a wide range of two-dimensional applications involving multiphase flows interacting with immersed deformable solids, including benchmarking against both experimental and alternative numerical schemes.
published_date 2018-12-31T03:55:01Z
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