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The solution for the radial distribution of pressure, density, temperature and flow velocity fields in a blast wave propagating through a medium at rest, following an intense explosion, starting from hydrodynamic equations, is one of the…

Statistical Mechanics · Physics 2018-12-11 Jilmy P. Joy , Sudhir N. Pathak , R. Rajesh

Shocks waves are a ubiquitous feature of many astrophysical plasma systems, and an important process for energy dissipation and transfer. The physics of these shock waves are frequently treated/modeled as a collisional, fluid MHD…

Plasma Physics · Physics 2021-11-17 Colby C. Haggerty , Antoine Bret , Damiano Caprioli

We performed one-dimensional hydrodynamic simulations with detailed cooling, heating and chemical processes to examine the thermal stability of shocked gas in cold neutral medium (CNM) and molecular clouds. We find that both CNM and…

Solar and Stellar Astrophysics · Physics 2015-06-16 Takuhiro Aota , Tsuyoshi Inoue , Yuri Aikawa

The oblique collisions and dynamical interference patterns of two-dimensional dispersive shock waves are studied numerically and analytically via the temporal dynamics induced by wedge-shaped initial conditions for the…

Pattern Formation and Solitons · Physics 2024-11-11 Gino Biondini , Alexander Bivolcic , Mark A. Hoefer

Shock waves are supersonic disturbances propagating in a fluid and giving rise to dissipation and drag. Weak shocks, i.e., those of small amplitude, can be well described within the hydrodynamic approximation. On the other hand, strong…

High Energy Physics - Theory · Physics 2010-12-24 Sergei Khlebnikov , Martin Kruczenski , Georgios Michalogiorgakis

Supersonic flow is a typical nonlinear, nonequilibrium, multiscale, and complex phenomenon. This paper applies discrete Boltzmann method/model (DBM) to simulate and analyze these characteristics. A Burnett-level DBM for supersonic flow is…

Fluid Dynamics · Physics 2025-02-19 Yanbiao Gan , Zhaowen Zhuang , Bin Yang , Aiguo Xu , Dejia Zhang , Feng Chen , Jiahui Song , Yanhong Wu

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa

We construct a new Godunov type relativistic hydrodynamics code in Milne coordinates, using a Riemann solver based on the two-shock approximation which is stable under the existence of large shock waves. We check the correctness of the…

Nuclear Theory · Physics 2017-07-18 Kazuhisa Okamoto , Yukinao Akamatsu , Chiho Nonaka

An overview of recent results pertaining to the hydrodynamic description (both Newtonian and non-Newtonian) of granular gases described by the Boltzmann equation for inelastic Maxwell models is presented. The use of this mathematical model…

Soft Condensed Matter · Physics 2011-08-30 V. Garzó , A. Santos

We present an on-the-fly geometrical approach for shock detection and Mach number calculation in simulations employing smoothed particle hydrodynamics (SPH). We utilize pressure gradients to select shock candidates and define up- and…

Instrumentation and Methods for Astrophysics · Physics 2016-03-23 Alexander M. Beck , K. Dolag , Julius M. F. Donnert

We study the two-dimensional structural stability of shock waves in a compressible isentropic inviscid elastic fluid in the sense of the local-in-time existence and uniqueness of discontinuous shock front solutions of the equations of…

Analysis of PDEs · Mathematics 2019-03-21 Alessandro Morando , Yuri Trakhinin , Paola Trebeschi

We present a new, first-order, flux-conservative formulation of relativistic viscous hydrodynamics in the BDNK framework, applicable to conformal and nonconformal fluids at zero chemical potential. Focusing on the conformal case in 1+1…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Nicolas Clarisse , Eduardo O. Pinho , Teerthal Patel , Fabio S. Bemfica , Mauricio Hippert , Jorge Noronha

We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation,…

Nuclear Theory · Physics 2024-03-06 Shin-ei Fujii , Tetsufumi Hirano

We study the formation of localized shocks in one-dimensional driven diffusive systems with spacially homogeneous creation and annihilation of particles (Langmuir kinetics).We show how to obtain hydrodynamic equations which describe the…

Statistical Mechanics · Physics 2009-11-10 V. Popkov , A. Rakos , R. D. Willmann , A. B. Kolomeisky , G. M. Schuetz

We considered the structure of steady-state plane-parallel radiative shock waves propagating through the partially ionized hydrogen gas of temperature T_1 = 3000K and density 1e-12 gm/cm^3 <= \rho_1 <= 1e-9 gm/cm^3. The upstream Mach…

Astrophysics · Physics 2009-11-10 Yu. A. Fadeyev , D. Gillet

This study presents key enhancements in hydrodynamic modeling using the strip-based Morison's equation approach to enable rapid simulations of Floating Offshore Wind Turbines (FOWT). The modeling framework employs the relative form of the…

Atmospheric and Oceanic Physics · Physics 2025-08-05 Doyal Sarker , Md Sakif , Tri Ngo , Tuhin Das

We study the hydrodynamical effects of two colliding shells, adopted to model internal shocks in various relativistic outflows such as gamma-ray bursts and blazars. We find that the density profiles are significantly affected by the…

Astrophysics · Physics 2009-11-10 M. Kino , A. Mizuta , A. Celotti , S. Yamada

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

Shockwaves provide a useful and rewarding route to the nonequilibrium properties of simple fluids far from equilibrium. For simplicity, we study a strong shockwave in a dense two-dimensional fluid. Here, our study of nonlinear transport…

Fluid Dynamics · Physics 2020-03-24 Wm. G. Hoover , Carol G. Hoover

The shock wave structure in a one-dimensional lattice (e.g. granular chain) with a power law dependence of force on displacement between particles with viscous dissipation is considered and compared to the corresponding long wave…

Soft Condensed Matter · Physics 2015-06-25 E. B. Herbold , V. F. Nesterenko