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We study the stability properties of hydrodynamic shocks with finite Mach numbers. The linear analysis supplements previous analyses which took the strong shock limit. We derive the linearised equations for a general specific heat ratio as…

Astrophysics · Physics 2009-11-13 Babulakshmanan Ramachandran , Michael D. Smith

Richtmyer-Meshkov instability (RMI) plays important role in nature and technology, from supernovae and fusion to scramjets and nano-fabrication. Canonical Richtmyer-Meshkov instability is induced by a steady shock and impulsive…

Fluid Dynamics · Physics 2020-05-22 Aklant K. Bhowmick , Desmond L. Hill , Miccal Matthews , Snezhana I. Abarzhi

While traditional approaches to prevent the carbuncle phenomenon in gas dynamics simulations increase the viscosity on entropy and shear waves near shocks, it was quite recently suggested to instead decrease the viscosity on the acoustic…

Numerical Analysis · Mathematics 2021-02-15 Friedemann Kemm

Variable-density mixing in shock bubble interaction, a canonical flow of Richtermyer-Meshkov instability, is studied by the high-resolution simulation. While the dissipation mainly controls the passive scalar mixing rate, an objective…

Fluid Dynamics · Physics 2021-06-30 Bin Yu , Haoyang Liu , Hong Liu

Shock-driven multiphase mixing occurs in many physical systems such as explosive dispersal of chemical or biological agents, in the evolution of supernova remnants, and in supersonic and detonative combustion engines. This mixing process is…

Fluid Dynamics · Physics 2024-05-02 Vasco O. Duke-Walker , Jacob A. McFarland

The impact and rupture of water-filled balloons upon a flat, rigid surface is studied experimentally, for which three distinct stages of the flow are observed. Due to the impact, waves are formed on the balloon's surface for which the…

Fluid Dynamics · Physics 2011-10-18 Hugh M. Lund , Stuart B. Dalziel

We investigate the Mach number dependence of the radiative overstability of shocks. We find that the stability of radiative shocks increases with decreasing Mach number, with the result that M=2 shocks require cooling exponents < -1.2 to be…

Astrophysics · Physics 2009-11-11 J. M. Pittard , M. S. Dobson , R. H. Durisen , J. E. Dyson , T. W. Hartquist , J. T. O'Brien

Turbulent mixing due to hydrodynamic instabilities occurs in a wide range of science and engineering applications such as supernova explosions and inertial confinement fusion. The experimental, theoretical and numerical studies help us to…

Numerical Analysis · Mathematics 2022-07-26 Tulin Kaman , Ryan Holley

The Rossiter modes of an open cavity were studied using global linear analysis and nonlinear numerical simulations. The length over depth ratio was two and the Reynolds numbers based on cavity depth were close to 1000. The effect of Mach on…

Fluid Dynamics · Physics 2022-05-30 Marlon Sproesser Mathias , Marcello Augusto Faraco de Medeiros

The paper investigates shock-induced vortical flows within inhomogeneous media of nonuniform thermodynamic properties. Numerical simulations are performed using an Eularian type mathematical model for compressible multi-component flow…

Fluid Dynamics · Physics 2017-06-28 A. F. Nowakowski , A. Ballil , F. C. G. A Nicolleau

Development of the Richtmyer-Meshkov instability leads to mixing of two substances separated by contact boundary. Mixture of two fluids is confined between two mixing fronts. Universal asymptotics follows the transition stage at late time.…

Fluid Dynamics · Physics 2007-05-23 N. A. Inogamov , A. M. Oparin

Linear stability of a current sheet that is subject to an impulsive acceleration due to a shock passage is studied with the effect of guide magnetic field. We find that the current sheet embedded in relativistically magnetized plasma always…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Tsuyoshi Inoue

The nonlinear evolution of two fluid interfacial structures like bubbles and spikes arising due to the combined action of Rayleigh-Taylor and Kelvin-Helmholtz instability or due to that of Richtmyer-Meshkov and Kelvin-Helmholtz instability…

Plasma Physics · Physics 2010-10-07 M. R. Gupta , Labakanta Mandal , Sourav Roy , Rahul Banerjee , Manoranjan Khan

Molecular Dynamic (MD) approach is applied to study the converging cylindrical shock waves in a dense Lennard-Jones (LJ) fluid. MD method is based on tracking of the atom motions and hence it has an fundamental advantages over hydrodynamic…

Computational Physics · Physics 2009-04-23 V. Zhakhovskii , K. Nishihara , M. Abe

We examine the relation between the density variance and the mean-square Mach number in supersonic, isothermal turbulence, assumed in several recent analytic models of the star formation process. From a series of calculations of supersonic,…

Astrophysics of Galaxies · Physics 2015-05-20 Daniel J. Price , Christoph Federrath , Christopher M. Brunt

The magnetically induced Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate is investigated. We construct and study analytical models describing the development of the instability at both the linear and nonlinear…

Quantum Gases · Physics 2015-05-19 A. Bezett , V. Bychkov , E. Lundh , D. Kobyakov , M. Marklund

Brenner has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range. These modifications relate to a diffusion of fluid volume…

Fluid Dynamics · Physics 2009-11-13 Christopher J. Greenshields , Jason M. Reese

The density variance - Mach number relation of the turbulent interstellar medium is relevant for theoretical models of the star formation rate, efficiency, and the initial mass function of stars. Here we use high-resolution hydrodynamical…

Astrophysics of Galaxies · Physics 2015-05-08 Christopher A. Nolan , Christoph Federrath , Ralph S. Sutherland

The first critical fast Mach number is defined for a magnetohydrodynamic shock as the Mach number where the shock transitions from subcritical, laminar, behavior to supercritical behavior, characterized by incident ion reflection from the…

Solar and Stellar Astrophysics · Physics 2023-01-18 J. Martin Laming

The probability density function (PDF) of the gas density in subsonic and supersonic, isothermal, driven turbulence is analyzed with a systematic set of hydrodynamical grid simulations with resolutions up to 1024^3 cells. We performed a…

Solar and Stellar Astrophysics · Physics 2014-11-27 Lukas Konstandin , Philipp Girichidis , Christoph Federrath , Ralf S. Klessen