Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD

Handle URI:
http://hdl.handle.net/10754/292323
Title:
Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD
Authors:
Gao, Song
Abstract:
The Richtmyer-Meshkov instability occurs when density-stratified interfaces are impulsively accelerated, typically by a shock wave. We present a numerical method to simulate the Richtmyer-Meshkov instability in cylindrical geometry. The ideal MHD equations are linearized about a time-dependent base state to yield linear partial differential equations governing the perturbed quantities. Convergence tests demonstrate that second order accuracy is achieved for smooth flows, and the order of accuracy is between first and second order for flows with discontinuities. Numerical results are presented for cases of interfaces with positive Atwood number and purely azimuthal perturbations. In hydrodynamics, the Richtmyer-Meshkov instability growth of perturbations is followed by a Rayleigh-Taylor growth phase. In MHD, numerical results indicate that the perturbations can be suppressed for sufficiently large perturbation wavenumbers and magnetic fields.
Advisors:
Samtaney, Ravi ( 0000-0002-4702-6473 )
Committee Member:
Samtaney, Ravi ( 0000-0002-4702-6473 ) ; Stenchikov, Georgiy ( 0000-0001-9033-4925 ) ; Thoroddsen, Sigurdur T ( 0000-0001-6997-4311 )
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Program:
Mechanical Engineering
Issue Date:
May-2013
Type:
Thesis
Appears in Collections:
Theses; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.advisorSamtaney, Ravien
dc.contributor.authorGao, Songen
dc.date.accessioned2013-05-19T07:07:40Z-
dc.date.available2013-05-19T07:07:40Z-
dc.date.issued2013-05en
dc.identifier.urihttp://hdl.handle.net/10754/292323en
dc.description.abstractThe Richtmyer-Meshkov instability occurs when density-stratified interfaces are impulsively accelerated, typically by a shock wave. We present a numerical method to simulate the Richtmyer-Meshkov instability in cylindrical geometry. The ideal MHD equations are linearized about a time-dependent base state to yield linear partial differential equations governing the perturbed quantities. Convergence tests demonstrate that second order accuracy is achieved for smooth flows, and the order of accuracy is between first and second order for flows with discontinuities. Numerical results are presented for cases of interfaces with positive Atwood number and purely azimuthal perturbations. In hydrodynamics, the Richtmyer-Meshkov instability growth of perturbations is followed by a Rayleigh-Taylor growth phase. In MHD, numerical results indicate that the perturbations can be suppressed for sufficiently large perturbation wavenumbers and magnetic fields.en
dc.language.isoenen
dc.subjectCylindrical Geometryen
dc.subjectMHDen
dc.subjectRichtmyer-Meshkoven
dc.subjectInstabilityen
dc.subjectRayleigh-Taylor Instabilityen
dc.subjectLinear Simulationen
dc.titleLinear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHDen
dc.typeThesisen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberSamtaney, Ravien
dc.contributor.committeememberStenchikov, Georgiyen
dc.contributor.committeememberThoroddsen, Sigurdur Ten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.nameMaster of Scienceen
dc.person.id118431en
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