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dc.contributor.authorJagad, Pankaj
dc.contributor.authorMohamed, Mamdouh S.
dc.contributor.authorSamtaney, Ravi
dc.date.accessioned2020-10-08T12:46:22Z
dc.date.available2020-10-08T12:46:22Z
dc.date.issued2018-01-01
dc.identifier.isbn9780646597843
dc.identifier.urihttp://hdl.handle.net/10754/665503
dc.description.abstractWe present examples of vortex dynamics on a curved 2D surface using simulations based on the approach of discrete exterior calculus (DEC) developed by Mohamed et al. [8]. The DEC method allows a coordinate independent implementation and preserves vector calculus identities discretely. In addition, it has been demonstrated to exhibit good conservation of secondary flow quantities such as kinetic energy (for inviscid flows) and discretely satisfies vorticity conservation both locally and globally. These structure-preserving properties of DEC make it a suitable tool to investigate vortex and vorticity dynamics on 2D curved surfaces. In particular, we focus on the flow past a stationary cylinder (a canonical problem in fluid dynamics) embedded on a sphere (positive Gaussian curvature) or another cylinder (zero Gaussian curvature). We compute quantities of dynamical importance such as the drag coefficient, lift coefficient and Strouhal number. Another example presented is the evolution of initially randomly distributed vortices on a unit sphere in to a quadrupolar vortical structure similar to reported in Dritschel et al. [4].
dc.publisherAustralasian Fluid Mechanics Society
dc.relation.urlhttps://people.eng.unimelb.edu.au/imarusic/proceedings/21/Contribution_675_final.pdf
dc.rightsArchived with thanks to Australasian Fluid Mechanics Society
dc.titleVortex dynamics on a 2D curved surface using discrete exterior calculus
dc.typeConference Paper
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.conference.date2018-12-10 to 2018-12-13
dc.conference.name21st Australasian Fluid Mechanics Conference, AFMC 2018
dc.conference.locationAdelaide, SA, AUS
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mechanical Design and Production, Faculty of Engineering, Cairo University, Giza, Egypt
kaust.personJagad, Pankaj
kaust.personSamtaney, Ravi
dc.identifier.eid2-s2.0-85084094481
refterms.dateFOA2020-10-08T13:53:01Z


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