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We revisit and derive the shock-change equations relating the dynamics of a shock wave with the partial derivatives describing the motion of a reactive fluid with general equation of state in a stream-tube with arbitrary area variation. We…

Fluid Dynamics · Physics 2020-05-04 Matei Ioan Radulescu

Shock wave solutions in anisotropic relativistic hydrodynamics are considered. A new phenomenon of anisotropy-related angular deflection of the incident flow by the shock wave front is described. Patterns of velocity and momentum…

Nuclear Theory · Physics 2022-05-18 Aleksandr Kovalenko , Andrey Leonidov

The formation of thermoacoustic shocks is studied in a fluid complex plasma. The thermoacoustic wave mode can be damped (or anti-damped) when the contribution from the thermoacoustic interaction is lower (or higher) than that due to the…

Plasma Physics · Physics 2024-11-22 A. P. Misra , G. Banerjee

The continuous injection of energy in a stationary gas creates a shock wave that propagates radially outwards. We study the hydrodynamics of this disturbance using event driven molecular dynamics of a hard sphere gas in two and three…

Statistical Mechanics · Physics 2025-04-07 Amit Kumar , R. Rajesh

An analytical model is developed to study the sound produced by the interaction between shock and instability waves in two-dimensional supersonic jet flows. The jet is considered to be of vortex-sheet type and 2D Euler equations are…

Fluid Dynamics · Physics 2023-01-18 Binhong Li , Benshuai Lyu

In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using the geometrical shock dynamics theory. The equation of state…

High Energy Astrophysical Phenomena · Physics 2013-06-05 R. K. Anand

An explosively generated shockwave with time-dependent radius $R(t)$ is characterized by a phase in which the shocked gas becomes radiative with an effective adiabatic index $\gamma \simeq 1$. Using the result that the post-shock gas is…

High Energy Astrophysical Phenomena · Physics 2020-05-20 Eric R. Coughlin

The one-dimensional piston shock problem is a classical result of shock wave theory. In this work, the analogous dispersive shock wave (DSW) problem for a dispersive fluid described by the nonlinear Schr\"odinger equation is analyzed.…

Pattern Formation and Solitons · Physics 2010-08-12 M. A. Hoefer , M. J. Ablowitz , P. Engels

Emission in many astrophysical transients originates from a shocked fluid. A central engine typically produces an outflow with varying speeds, leading to internal collisions within the outflow at finite distances from the source. Each such…

High Energy Astrophysical Phenomena · Physics 2023-12-25 Sk. Minhajur Rahaman , Jonathan Granot , Paz Beniamini

We begin with the theoretical study of spectral energy cascade due to the propagation of high amplitude sound in the absence of thermal sources. To this end, a first-principles-based system of governing equations, correct up to second order…

Fluid Dynamics · Physics 2021-06-24 Prateek Gupta

We study the reaction of a globular star cluster to a time-varying tidal perturbation (gravitational shock) using self-consistent N-body simulations and address two questions. First, to what extent is the cluster interior protected by…

Astrophysics · Physics 2009-10-31 Oleg Y. Gnedin , Jeremiah P. Ostriker

Stationary solutions to the equations of non-linear diffusive shock acceleration play a fundamental role in the theory of cosmic-ray acceleration. Their existence usually requires that a fraction of the accelerated particles be allowed to…

Astrophysics · Physics 2011-02-11 B. Reville , J. G. Kirk , P. Duffy

Coughlin et al. (2018) (Paper I) derived and analyzed a new regime of self-similarity that describes weak shocks (Mach number of order unity) in the gravitational field of a point mass. These solutions are relevant to low energy explosions,…

High Energy Astrophysical Phenomena · Physics 2019-04-03 Eric R. Coughlin , Stephen Ro , Eliot Quataert

We present a mathematical model for the propagation of the shock waves that occur during planetary collisions. Such collisions are thought to occur during the formation of terrestrial planets, and they have the potential to erode the…

Earth and Planetary Astrophysics · Physics 2019-11-19 Almog Yalinewich , Andrey Remorov

The one-dimensional blast waves in a rarefied polyatomic gas with large bulk viscosity are studied based on rational extended thermodynamics (RET) with six independent fields: mass density, velocity, (equilibrium) pressure, and dynamic…

Fluid Dynamics · Physics 2025-08-22 Shigeru Taniguchi

We present solutions for the self-similar propagation of a shock wave in a hydrostatic, adiabatic medium with a point mass gravitational field. In contrast to the well-known, Sedov-Taylor blastwave, these solutions apply to the case when…

High Energy Astrophysical Phenomena · Physics 2018-08-29 Eric R. Coughlin , Eliot Quataert , Stephen Ro

Non-spherical explosions develop non-radial flows as the pattern of shock emergence progresses across the stellar surface. In supernovae these flows can limit ejecta speeds, stifle shock breakout emission, and cause collisions outside the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Pegah Salbi , Christopher D. Matzner , Stephen Ro , Yuri Levin

We here analyse numerical simulations of supersonic, hypersonic and magnetohydrodynamic turbulence that is free to decay. Our goals are to understand the dynamics of the decay and the characteristic properties of the shock waves produced.…

Astrophysics · Physics 2007-05-23 Michael D. Smith , Mordecai-Mark Mac Low , Julia M. Zuev

Spiral shocks are potentially a major source of turbulence in the interstellar medium. To address this problem quantitatively, we use numerical simulations to investigate gas flow across spiral arms in vertically stratified,…

Astrophysics · Physics 2011-02-11 Chang-Goo Kim , Woong-Tae Kim , Eve C. Ostriker

The convection that takes place in the innermost shells of massive stars plays an important role in the formation of core-collapse supernova explosions. Upon encountering the supernova shock, additional turbulence is generated, amplifying…

Solar and Stellar Astrophysics · Physics 2020-03-04 Ernazar Abdikamalov , Thierry Foglizzo