Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries

Handle URI:
http://hdl.handle.net/10754/209429
Title:
Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries
Authors:
Williams-Rioux, Bertrand
Abstract:
Second order level set projection method for incompressible Navier-Stokes equations is proposed to solve flow around arbitrary geometries. We used rectilinear grid with collocated cell centered velocity and pressure. An explicit Godunov procedure is used to address the nonlinear advection terms, and an implicit Crank-Nicholson method to update viscous effects. An approximate pressure projection is implemented at the end of the time stepping using multigrid as a conventional fast iterative method. The level set method developed by Osher and Sethian [17] is implemented to address real momentum and pressure boundary conditions by the advection of a distance function, as proposed by Aslam [3]. Numerical results for the Strouhal number and drag coefficients validated the model with good accuracy for flow over a cylinder in the parallel shedding regime (47 < Re < 180). Simulations for an array of cylinders and an oscillating cylinder were performed, with the latter demonstrating our methods ability to handle dynamic boundary conditions.
Advisors:
Samtaney, Ravi ( 0000-0002-4702-6473 )
Committee Member:
Stenchikov, Georgiy ( 0000-0001-9033-4925 ) ; Tempone, Raul Fidel ( 0000-0003-1967-4446 )
KAUST Department:
Biological and Environmental Sciences and Engineering (BESE) Division
Program:
Marine Science
Issue Date:
12-Jan-2012
Type:
Thesis
Appears in Collections:
Marine Science Program; Theses; Biological and Environmental Sciences and Engineering (BESE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorSamtaney, Ravien
dc.contributor.authorWilliams-Rioux, Bertranden
dc.date.accessioned2012-02-04T13:04:22Z-
dc.date.available2012-02-04T13:04:22Z-
dc.date.issued2012-01-12en
dc.identifier.urihttp://hdl.handle.net/10754/209429en
dc.description.abstractSecond order level set projection method for incompressible Navier-Stokes equations is proposed to solve flow around arbitrary geometries. We used rectilinear grid with collocated cell centered velocity and pressure. An explicit Godunov procedure is used to address the nonlinear advection terms, and an implicit Crank-Nicholson method to update viscous effects. An approximate pressure projection is implemented at the end of the time stepping using multigrid as a conventional fast iterative method. The level set method developed by Osher and Sethian [17] is implemented to address real momentum and pressure boundary conditions by the advection of a distance function, as proposed by Aslam [3]. Numerical results for the Strouhal number and drag coefficients validated the model with good accuracy for flow over a cylinder in the parallel shedding regime (47 < Re < 180). Simulations for an array of cylinders and an oscillating cylinder were performed, with the latter demonstrating our methods ability to handle dynamic boundary conditions.en
dc.language.isoenen
dc.subjectlevel seten
dc.subjectprojectionen
dc.subjectincompressibleen
dc.subjectmultigriden
dc.subjectnavier-stokesen
dc.titleLevel Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundariesen
dc.typeThesisen
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberStenchikov, Georgiyen
dc.contributor.committeememberTempone, Raul Fidelen
thesis.degree.disciplineMarine Scienceen
thesis.degree.nameMaster of Scienceen
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