Loading…
An isogeometric boundary element method for soft particles flowing in microfluidic channels
•An isogeometric framework is developed to solve fluid-soft object-wall interaction.•Loop elements are used to represent the shape of objects and the channel wall.•This representation is used for the fluid dynamics and membrane mechanics solvers.•Confined soft objects include drops, capsules, vesicl...
Saved in:
| Published in: | Computers & fluids 2021-01, Vol.214, p.104786, Article 104786 |
|---|---|
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Citations: | Items that this one cites Items that cite this one |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| cited_by | cdi_FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933 |
|---|---|
| cites | cdi_FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933 |
| container_end_page | |
| container_issue | |
| container_start_page | 104786 |
| container_title | Computers & fluids |
| container_volume | 214 |
| creator | Lyu, J.M. Chen, Paul G. Boedec, G. Leonetti, M. Jaeger, M. |
| description | •An isogeometric framework is developed to solve fluid-soft object-wall interaction.•Loop elements are used to represent the shape of objects and the channel wall.•This representation is used for the fluid dynamics and membrane mechanics solvers.•Confined soft objects include drops, capsules, vesicles, and red blood cells.•The algorithm enables high accuracy and long-time numerically stable simulations.
Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering applications. Computer simulations of this kind of fluid-structure (membrane) interaction in low-Reynolds-number flows raise significant challenges faced by an intricate interplay between flow stresses, complex particles’ interfacial mechanical properties, and fluidic confinement. Here, we present an isogeometric computational framework by combining the finite-element method (FEM) and boundary-element method (BEM) for an accurate prediction of the deformation and motion of a single soft particle transported in microfluidic channels. The proposed numerical framework is constructed consistently with the isogeometric analysis paradigm; Loop’s subdivision elements are used not only for the representation of geometry but also for the membrane mechanics solver (FEM) and the interfacial fluid dynamics solver (BEM). We validate our approach by comparison of the simulation results with highly accurate benchmark solutions to two well-known examples available in the literature, namely a liquid drop with constant surface tension in a circular tube and a capsule with a very thin hyperelastic membrane in a square channel. We show that the numerical method exhibits second-order convergence in both time and space. To further demonstrate the accuracy and long-time numerically stable simulations of the algorithm, we perform hydrodynamic computations of a lipid vesicle with bending stiffness and a red blood cell with a composite membrane in capillaries. The present work offers some possibilities to study the deformation behavior of confining soft particles, especially the particles’ shape transition and dynamics and their rheological signature in channel flows. |
| doi_str_mv | 10.1016/j.compfluid.2020.104786 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02476945v2</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S004579302030356X</els_id><sourcerecordid>2476173662</sourcerecordid><originalsourceid>FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933</originalsourceid><addsrcrecordid>eNqFkDFPwzAQhS0EEqXwG7DExJBiO6mdjFUFFKkSC0wMluOcW1eJXey0iH-PQ1BXptM9fff07iF0S8mMEsofdjPtu71pD7aZMcIGtRAlP0MTWooqI6IQ52hCSDHPRJWTS3QV446kPWfFBH0sHLbRb8B30Aerce0PrlHhG0MLHbgeJ33rG2x8wNGbHu9V6K1uIWLT-i_rNtg63Fkd_G-GZKG3yjlo4zW6MKqNcPM3p-j96fFtucrWr88vy8U60wXjfabKsjTaiKYuqdCcEQo5p2VdUUPmVa4UNxXLS61BaMG5qlVRGzpvhKBMQ5XnU3Q_-m5VK_fBdim-9MrK1WItB42wQvCqmB9ZYu9Gdh_85wFiL3f-EFyKJweIipzzgRIjlb6KMYA52VIih9blTp5al0Prcmw9XS7Gy_Q_HC0EGbUFp6GxAXQvG2__9fgB9AiP-A</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2476173662</pqid></control><display><type>article</type><title>An isogeometric boundary element method for soft particles flowing in microfluidic channels</title><source>ScienceDirect Freedom Collection</source><creator>Lyu, J.M. ; Chen, Paul G. ; Boedec, G. ; Leonetti, M. ; Jaeger, M.</creator><creatorcontrib>Lyu, J.M. ; Chen, Paul G. ; Boedec, G. ; Leonetti, M. ; Jaeger, M.</creatorcontrib><description>•An isogeometric framework is developed to solve fluid-soft object-wall interaction.•Loop elements are used to represent the shape of objects and the channel wall.•This representation is used for the fluid dynamics and membrane mechanics solvers.•Confined soft objects include drops, capsules, vesicles, and red blood cells.•The algorithm enables high accuracy and long-time numerically stable simulations.
Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering applications. Computer simulations of this kind of fluid-structure (membrane) interaction in low-Reynolds-number flows raise significant challenges faced by an intricate interplay between flow stresses, complex particles’ interfacial mechanical properties, and fluidic confinement. Here, we present an isogeometric computational framework by combining the finite-element method (FEM) and boundary-element method (BEM) for an accurate prediction of the deformation and motion of a single soft particle transported in microfluidic channels. The proposed numerical framework is constructed consistently with the isogeometric analysis paradigm; Loop’s subdivision elements are used not only for the representation of geometry but also for the membrane mechanics solver (FEM) and the interfacial fluid dynamics solver (BEM). We validate our approach by comparison of the simulation results with highly accurate benchmark solutions to two well-known examples available in the literature, namely a liquid drop with constant surface tension in a circular tube and a capsule with a very thin hyperelastic membrane in a square channel. We show that the numerical method exhibits second-order convergence in both time and space. To further demonstrate the accuracy and long-time numerically stable simulations of the algorithm, we perform hydrodynamic computations of a lipid vesicle with bending stiffness and a red blood cell with a composite membrane in capillaries. The present work offers some possibilities to study the deformation behavior of confining soft particles, especially the particles’ shape transition and dynamics and their rheological signature in channel flows.</description><identifier>ISSN: 0045-7930</identifier><identifier>EISSN: 1879-0747</identifier><identifier>DOI: 10.1016/j.compfluid.2020.104786</identifier><language>eng</language><publisher>Amsterdam: Elsevier Ltd</publisher><subject>Algorithms ; Biomedical engineering ; Boundary element method ; Capillaries ; Channel flow ; Channels ; Circular tubes ; Computational fluid dynamics ; Computer simulation ; Deformation ; Drops (liquids) ; Elastic capsules and vesicles ; Erythrocytes ; Finite element method ; Fluid mechanics ; Fluid-structure interaction ; Formability ; Lipids ; Loop subdivision ; Low Reynolds number flow ; Mechanical properties ; Mechanics ; Membranes ; Microfluidics ; Numerical methods ; Physics ; Red blood cells ; Rheological properties ; Solvers ; Stiffness ; Surface tension ; Viscous drops ; Yield strength</subject><ispartof>Computers & fluids, 2021-01, Vol.214, p.104786, Article 104786</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier BV Jan 15, 2021</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933</citedby><cites>FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933</cites><orcidid>0000-0003-4174-317X ; 0000-0001-5781-2884 ; 0000-0002-4500-1360</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,786,790,891,27957,27958</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02476945$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Lyu, J.M.</creatorcontrib><creatorcontrib>Chen, Paul G.</creatorcontrib><creatorcontrib>Boedec, G.</creatorcontrib><creatorcontrib>Leonetti, M.</creatorcontrib><creatorcontrib>Jaeger, M.</creatorcontrib><title>An isogeometric boundary element method for soft particles flowing in microfluidic channels</title><title>Computers & fluids</title><description>•An isogeometric framework is developed to solve fluid-soft object-wall interaction.•Loop elements are used to represent the shape of objects and the channel wall.•This representation is used for the fluid dynamics and membrane mechanics solvers.•Confined soft objects include drops, capsules, vesicles, and red blood cells.•The algorithm enables high accuracy and long-time numerically stable simulations.
Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering applications. Computer simulations of this kind of fluid-structure (membrane) interaction in low-Reynolds-number flows raise significant challenges faced by an intricate interplay between flow stresses, complex particles’ interfacial mechanical properties, and fluidic confinement. Here, we present an isogeometric computational framework by combining the finite-element method (FEM) and boundary-element method (BEM) for an accurate prediction of the deformation and motion of a single soft particle transported in microfluidic channels. The proposed numerical framework is constructed consistently with the isogeometric analysis paradigm; Loop’s subdivision elements are used not only for the representation of geometry but also for the membrane mechanics solver (FEM) and the interfacial fluid dynamics solver (BEM). We validate our approach by comparison of the simulation results with highly accurate benchmark solutions to two well-known examples available in the literature, namely a liquid drop with constant surface tension in a circular tube and a capsule with a very thin hyperelastic membrane in a square channel. We show that the numerical method exhibits second-order convergence in both time and space. To further demonstrate the accuracy and long-time numerically stable simulations of the algorithm, we perform hydrodynamic computations of a lipid vesicle with bending stiffness and a red blood cell with a composite membrane in capillaries. The present work offers some possibilities to study the deformation behavior of confining soft particles, especially the particles’ shape transition and dynamics and their rheological signature in channel flows.</description><subject>Algorithms</subject><subject>Biomedical engineering</subject><subject>Boundary element method</subject><subject>Capillaries</subject><subject>Channel flow</subject><subject>Channels</subject><subject>Circular tubes</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Deformation</subject><subject>Drops (liquids)</subject><subject>Elastic capsules and vesicles</subject><subject>Erythrocytes</subject><subject>Finite element method</subject><subject>Fluid mechanics</subject><subject>Fluid-structure interaction</subject><subject>Formability</subject><subject>Lipids</subject><subject>Loop subdivision</subject><subject>Low Reynolds number flow</subject><subject>Mechanical properties</subject><subject>Mechanics</subject><subject>Membranes</subject><subject>Microfluidics</subject><subject>Numerical methods</subject><subject>Physics</subject><subject>Red blood cells</subject><subject>Rheological properties</subject><subject>Solvers</subject><subject>Stiffness</subject><subject>Surface tension</subject><subject>Viscous drops</subject><subject>Yield strength</subject><issn>0045-7930</issn><issn>1879-0747</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqFkDFPwzAQhS0EEqXwG7DExJBiO6mdjFUFFKkSC0wMluOcW1eJXey0iH-PQ1BXptM9fff07iF0S8mMEsofdjPtu71pD7aZMcIGtRAlP0MTWooqI6IQ52hCSDHPRJWTS3QV446kPWfFBH0sHLbRb8B30Aerce0PrlHhG0MLHbgeJ33rG2x8wNGbHu9V6K1uIWLT-i_rNtg63Fkd_G-GZKG3yjlo4zW6MKqNcPM3p-j96fFtucrWr88vy8U60wXjfabKsjTaiKYuqdCcEQo5p2VdUUPmVa4UNxXLS61BaMG5qlVRGzpvhKBMQ5XnU3Q_-m5VK_fBdim-9MrK1WItB42wQvCqmB9ZYu9Gdh_85wFiL3f-EFyKJweIipzzgRIjlb6KMYA52VIih9blTp5al0Prcmw9XS7Gy_Q_HC0EGbUFp6GxAXQvG2__9fgB9AiP-A</recordid><startdate>20210115</startdate><enddate>20210115</enddate><creator>Lyu, J.M.</creator><creator>Chen, Paul G.</creator><creator>Boedec, G.</creator><creator>Leonetti, M.</creator><creator>Jaeger, M.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-4174-317X</orcidid><orcidid>https://orcid.org/0000-0001-5781-2884</orcidid><orcidid>https://orcid.org/0000-0002-4500-1360</orcidid></search><sort><creationdate>20210115</creationdate><title>An isogeometric boundary element method for soft particles flowing in microfluidic channels</title><author>Lyu, J.M. ; Chen, Paul G. ; Boedec, G. ; Leonetti, M. ; Jaeger, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Biomedical engineering</topic><topic>Boundary element method</topic><topic>Capillaries</topic><topic>Channel flow</topic><topic>Channels</topic><topic>Circular tubes</topic><topic>Computational fluid dynamics</topic><topic>Computer simulation</topic><topic>Deformation</topic><topic>Drops (liquids)</topic><topic>Elastic capsules and vesicles</topic><topic>Erythrocytes</topic><topic>Finite element method</topic><topic>Fluid mechanics</topic><topic>Fluid-structure interaction</topic><topic>Formability</topic><topic>Lipids</topic><topic>Loop subdivision</topic><topic>Low Reynolds number flow</topic><topic>Mechanical properties</topic><topic>Mechanics</topic><topic>Membranes</topic><topic>Microfluidics</topic><topic>Numerical methods</topic><topic>Physics</topic><topic>Red blood cells</topic><topic>Rheological properties</topic><topic>Solvers</topic><topic>Stiffness</topic><topic>Surface tension</topic><topic>Viscous drops</topic><topic>Yield strength</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lyu, J.M.</creatorcontrib><creatorcontrib>Chen, Paul G.</creatorcontrib><creatorcontrib>Boedec, G.</creatorcontrib><creatorcontrib>Leonetti, M.</creatorcontrib><creatorcontrib>Jaeger, M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Computers & fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lyu, J.M.</au><au>Chen, Paul G.</au><au>Boedec, G.</au><au>Leonetti, M.</au><au>Jaeger, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An isogeometric boundary element method for soft particles flowing in microfluidic channels</atitle><jtitle>Computers & fluids</jtitle><date>2021-01-15</date><risdate>2021</risdate><volume>214</volume><spage>104786</spage><pages>104786-</pages><artnum>104786</artnum><issn>0045-7930</issn><eissn>1879-0747</eissn><abstract>•An isogeometric framework is developed to solve fluid-soft object-wall interaction.•Loop elements are used to represent the shape of objects and the channel wall.•This representation is used for the fluid dynamics and membrane mechanics solvers.•Confined soft objects include drops, capsules, vesicles, and red blood cells.•The algorithm enables high accuracy and long-time numerically stable simulations.
Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering applications. Computer simulations of this kind of fluid-structure (membrane) interaction in low-Reynolds-number flows raise significant challenges faced by an intricate interplay between flow stresses, complex particles’ interfacial mechanical properties, and fluidic confinement. Here, we present an isogeometric computational framework by combining the finite-element method (FEM) and boundary-element method (BEM) for an accurate prediction of the deformation and motion of a single soft particle transported in microfluidic channels. The proposed numerical framework is constructed consistently with the isogeometric analysis paradigm; Loop’s subdivision elements are used not only for the representation of geometry but also for the membrane mechanics solver (FEM) and the interfacial fluid dynamics solver (BEM). We validate our approach by comparison of the simulation results with highly accurate benchmark solutions to two well-known examples available in the literature, namely a liquid drop with constant surface tension in a circular tube and a capsule with a very thin hyperelastic membrane in a square channel. We show that the numerical method exhibits second-order convergence in both time and space. To further demonstrate the accuracy and long-time numerically stable simulations of the algorithm, we perform hydrodynamic computations of a lipid vesicle with bending stiffness and a red blood cell with a composite membrane in capillaries. The present work offers some possibilities to study the deformation behavior of confining soft particles, especially the particles’ shape transition and dynamics and their rheological signature in channel flows.</abstract><cop>Amsterdam</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compfluid.2020.104786</doi><orcidid>https://orcid.org/0000-0003-4174-317X</orcidid><orcidid>https://orcid.org/0000-0001-5781-2884</orcidid><orcidid>https://orcid.org/0000-0002-4500-1360</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0045-7930 |
| ispartof | Computers & fluids, 2021-01, Vol.214, p.104786, Article 104786 |
| issn | 0045-7930 1879-0747 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_02476945v2 |
| source | ScienceDirect Freedom Collection |
| subjects | Algorithms Biomedical engineering Boundary element method Capillaries Channel flow Channels Circular tubes Computational fluid dynamics Computer simulation Deformation Drops (liquids) Elastic capsules and vesicles Erythrocytes Finite element method Fluid mechanics Fluid-structure interaction Formability Lipids Loop subdivision Low Reynolds number flow Mechanical properties Mechanics Membranes Microfluidics Numerical methods Physics Red blood cells Rheological properties Solvers Stiffness Surface tension Viscous drops Yield strength |
| title | An isogeometric boundary element method for soft particles flowing in microfluidic channels |
| url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-09-21T07%3A52%3A42IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20isogeometric%20boundary%20element%20method%20for%20soft%20particles%20flowing%20in%20microfluidic%20channels&rft.jtitle=Computers%20&%20fluids&rft.au=Lyu,%20J.M.&rft.date=2021-01-15&rft.volume=214&rft.spage=104786&rft.pages=104786-&rft.artnum=104786&rft.issn=0045-7930&rft.eissn=1879-0747&rft_id=info:doi/10.1016/j.compfluid.2020.104786&rft_dat=%3Cproquest_hal_p%3E2476173662%3C/proquest_hal_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c426t-a888fcf7db817c6201e3618b91f0593aa6f9238cce7c766aba4bf15d7712ce933%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2476173662&rft_id=info:pmid/&rfr_iscdi=true |