Energetic variational approaches in modeling vesicle and fluid interactions
In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a physical approx...
Gespeichert in:
| Veröffentlicht in: | Physica. D 2009-05, Vol.238 (9), p.923-930 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 930 |
|---|---|
| container_issue | 9 |
| container_start_page | 923 |
| container_title | Physica. D |
| container_volume | 238 |
| creator | Du, Qiang Liu, Chun Ryham, Rolf Wang, Xiaoqiang |
| description | In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a
physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model. |
| doi_str_mv | 10.1016/j.physd.2009.02.015 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_903631059</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0167278909000669</els_id><sourcerecordid>903631059</sourcerecordid><originalsourceid>FETCH-LOGICAL-c462t-fd4aacda0988718b61deb2b6d6579fecb2ba7cee2dc9828350e4643ee64b96c3</originalsourceid><addsrcrecordid>eNp9kMFu2zAMhoVhA5Zle4JdfNl6skdJtmwddiiCbi0aYJfeBYaiWwWOnUlOgLx9labosScS4PeTxCfEdwmVBGl-bav90yn5SgHYClQFsvkgFrJrVdmBUh_FIlNtqdrOfhZfUtoCgGx1uxD3NyPHR54DFUeMAecwjTgUuN_HCemJUxHGYjd5HsL4WBw5BRq4wNEX_XAIPk9njkjnWPoqPvU4JP72Wpfi4c_Nw-q2XP_7e7e6XpdUGzWXva8RySPYrmtltzHS80ZtjDdNa3um3GNLzMqT7VSnG-Da1JrZ1BtrSC_F1WVtfvH_gdPsdiERDwOOPB2Ss6CNltDYTP58l9R1rbVtmgzqC0hxSily7_Yx7DCenAR3Nuy27sWwOxt2oFw2nFM_XtdjIhz6iCOF9BZVsgFZNypzvy8cZynHwNElCjwS-xCZZuen8O6dZ_r4k_4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>34433955</pqid></control><display><type>article</type><title>Energetic variational approaches in modeling vesicle and fluid interactions</title><source>Access via ScienceDirect (Elsevier)</source><creator>Du, Qiang ; Liu, Chun ; Ryham, Rolf ; Wang, Xiaoqiang</creator><creatorcontrib>Du, Qiang ; Liu, Chun ; Ryham, Rolf ; Wang, Xiaoqiang</creatorcontrib><description>In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a
physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.</description><identifier>ISSN: 0167-2789</identifier><identifier>EISSN: 1872-8022</identifier><identifier>DOI: 10.1016/j.physd.2009.02.015</identifier><identifier>CODEN: PDNPDT</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Elastic bending energy ; Exact sciences and technology ; Fluid vesicle interaction ; Hydrodynamic membrane evolution ; Navier–Stokes ; Phase field ; Physics ; Willmore stress</subject><ispartof>Physica. D, 2009-05, Vol.238 (9), p.923-930</ispartof><rights>2009 Elsevier B.V.</rights><rights>2009 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c462t-fd4aacda0988718b61deb2b6d6579fecb2ba7cee2dc9828350e4643ee64b96c3</citedby><cites>FETCH-LOGICAL-c462t-fd4aacda0988718b61deb2b6d6579fecb2ba7cee2dc9828350e4643ee64b96c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.physd.2009.02.015$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21501452$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Du, Qiang</creatorcontrib><creatorcontrib>Liu, Chun</creatorcontrib><creatorcontrib>Ryham, Rolf</creatorcontrib><creatorcontrib>Wang, Xiaoqiang</creatorcontrib><title>Energetic variational approaches in modeling vesicle and fluid interactions</title><title>Physica. D</title><description>In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a
physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.</description><subject>Elastic bending energy</subject><subject>Exact sciences and technology</subject><subject>Fluid vesicle interaction</subject><subject>Hydrodynamic membrane evolution</subject><subject>Navier–Stokes</subject><subject>Phase field</subject><subject>Physics</subject><subject>Willmore stress</subject><issn>0167-2789</issn><issn>1872-8022</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kMFu2zAMhoVhA5Zle4JdfNl6skdJtmwddiiCbi0aYJfeBYaiWwWOnUlOgLx9labosScS4PeTxCfEdwmVBGl-bav90yn5SgHYClQFsvkgFrJrVdmBUh_FIlNtqdrOfhZfUtoCgGx1uxD3NyPHR54DFUeMAecwjTgUuN_HCemJUxHGYjd5HsL4WBw5BRq4wNEX_XAIPk9njkjnWPoqPvU4JP72Wpfi4c_Nw-q2XP_7e7e6XpdUGzWXva8RySPYrmtltzHS80ZtjDdNa3um3GNLzMqT7VSnG-Da1JrZ1BtrSC_F1WVtfvH_gdPsdiERDwOOPB2Ss6CNltDYTP58l9R1rbVtmgzqC0hxSily7_Yx7DCenAR3Nuy27sWwOxt2oFw2nFM_XtdjIhz6iCOF9BZVsgFZNypzvy8cZynHwNElCjwS-xCZZuen8O6dZ_r4k_4</recordid><startdate>20090515</startdate><enddate>20090515</enddate><creator>Du, Qiang</creator><creator>Liu, Chun</creator><creator>Ryham, Rolf</creator><creator>Wang, Xiaoqiang</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20090515</creationdate><title>Energetic variational approaches in modeling vesicle and fluid interactions</title><author>Du, Qiang ; Liu, Chun ; Ryham, Rolf ; Wang, Xiaoqiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c462t-fd4aacda0988718b61deb2b6d6579fecb2ba7cee2dc9828350e4643ee64b96c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Elastic bending energy</topic><topic>Exact sciences and technology</topic><topic>Fluid vesicle interaction</topic><topic>Hydrodynamic membrane evolution</topic><topic>Navier–Stokes</topic><topic>Phase field</topic><topic>Physics</topic><topic>Willmore stress</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Du, Qiang</creatorcontrib><creatorcontrib>Liu, Chun</creatorcontrib><creatorcontrib>Ryham, Rolf</creatorcontrib><creatorcontrib>Wang, Xiaoqiang</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physica. D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Du, Qiang</au><au>Liu, Chun</au><au>Ryham, Rolf</au><au>Wang, Xiaoqiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Energetic variational approaches in modeling vesicle and fluid interactions</atitle><jtitle>Physica. D</jtitle><date>2009-05-15</date><risdate>2009</risdate><volume>238</volume><issue>9</issue><spage>923</spage><epage>930</epage><pages>923-930</pages><issn>0167-2789</issn><eissn>1872-8022</eissn><coden>PDNPDT</coden><abstract>In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a
physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.physd.2009.02.015</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0167-2789 |
| ispartof | Physica. D, 2009-05, Vol.238 (9), p.923-930 |
| issn | 0167-2789 1872-8022 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_903631059 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | Elastic bending energy Exact sciences and technology Fluid vesicle interaction Hydrodynamic membrane evolution Navier–Stokes Phase field Physics Willmore stress |
| title | Energetic variational approaches in modeling vesicle and fluid interactions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T20%3A52%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Energetic%20variational%20approaches%20in%20modeling%20vesicle%20and%20fluid%20interactions&rft.jtitle=Physica.%20D&rft.au=Du,%20Qiang&rft.date=2009-05-15&rft.volume=238&rft.issue=9&rft.spage=923&rft.epage=930&rft.pages=923-930&rft.issn=0167-2789&rft.eissn=1872-8022&rft.coden=PDNPDT&rft_id=info:doi/10.1016/j.physd.2009.02.015&rft_dat=%3Cproquest_cross%3E903631059%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=34433955&rft_id=info:pmid/&rft_els_id=S0167278909000669&rfr_iscdi=true |