Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD
KAUST DepartmentPhysical Science and Engineering (PSE) Division
Embargo End Date2014-05-14
Permanent link to this recordhttp://hdl.handle.net/10754/292323
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Access RestrictionsAt the time of archiving, the student author of this thesis opted to temporarily restrict access to it. The full text of this thesis became available to the public after the expiration of the embargo on 2014-05-14.
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.
CitationGao, S. (2013). Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD. KAUST Research Repository. https://doi.org/10.25781/KAUST-24H7Q