An IBM for flow structure interaction in biological systems with application to phonation.pdf

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1、Availableonlineatwww.sciencedirect.comJournalofComputationalPhysics227(2008)9303–9332www.elsevier.com/locate/jcpAnimmersed-boundarymethodforflow–structureinteractioninbiologicalsystemswithapplicationtophonationab,*bcHaoxiangLuo,RajatMittal,XudongZheng,StevenA.Bielamowicz,deRaymondJ.Walsh

2、,JamesK.HahnaDepartmentofMechanicalEngineering,VanderbiltUniversity2301VanderbiltPl.,Nashville,TN37235-1592,UnitedStatesbDepartmentofMechanicalandAerospaceEngineering,GeorgeWashingtonUniversity,Washington,DC20052,UnitedStatescDivisionofOtolaryngology,GeorgeWashingtonUniversity,Washingto

3、n,DC20052,UnitedStatesdDepartmentofAnatomyandCellBiology,GeorgeWashingtonUniversity,Washington,DC20052,UnitedStateseDepartmentofComputerScience,GeorgeWashingtonUniversity,Washington,DC20052,UnitedStatesReceived16July2007;receivedinrevisedform2March2008;accepted4May2008Availableonline13M

4、ay2008AbstractAnewnumericalapproachformodelingaclassofflow–structureinteractionproblemstypicallyencounteredinbiolog-icalsystemsispresented.Inthisapproach,apreviouslydeveloped,sharp-interface,immersed-boundarymethodforincom-pressibleflowsisusedtomodelthefluidflowandanew,sharp-interfaceCartes

5、iangrid,immersed-boundarymethodisdevisedtosolvetheequationsoflinearviscoelasticitythatgovernsthesolid.Thetwosolversarecoupledtomodelflow–structureinteraction.Thiscoupledsolverhastheadvantageofsimplegridgenerationandefficientcomputationonsimple,single-blockstructuredgrids.Theaccuracyoftheso

6、lid-mechanicssolverisexaminedbyapplyingittoacanon-icalproblem.Thesolutionmethodologyisthenappliedtotheproblemoflaryngealaerodynamicsandvocalfoldvibrationduringhumanphonation.Thisincludesathree-dimensionaleigenanalysisforamulti-layeredvocalfoldprototypeaswellastwo-dimensional,flow-induced

7、vocalfoldvibrationinamodeledlarynx.Severalsalientfeaturesoftheaerodynamicsaswellasvocalfolddynamicsarepresented.Ó2008ElsevierInc.Allrightsreserved.Keywords:Immersed-boundarymethod;Elasticity;Flow–structureinteraction;Bio-flowmechanics;Phonation;Laryngealflow;Flow-inducedvibration