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Related papers: A Numerical Study of Relativistic Oblique Shock Re…

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An initially planar shock wave propagating into a medium of non-uniform density will be perturbed, leading to the generation of post-shock velocity perturbations. Using numerical simulations we study this phenomenon in the case of…

We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from nonrelativistic to relativistic (shock, contact discontinuity, and Alfv\'en wave).…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Makoto Takamoto , Tsuyoshi Inoue

One-dimensional numerical simulations based on hybrid Eulerian-Lagrangian method are performed to study the interactions between propagating shocks and dispersed evaporating water droplets. Two-way coupling for exchanges of mass, momentum,…

Fluid Dynamics · Physics 2021-03-22 Zhiwei Huang , Huangwei Zhang

A flow in which a thin film falls due to gravity on the inner surface of a vertical, rotating cylinder is investigated. This is performed using two-dimensional (2D) and three-dimensional (3D) direct numerical simulations, with a…

Fluid Dynamics · Physics 2020-10-28 Usmaan Farooq , Jason Stafford , Camille Petit , Omar K. Matar

The focusing of acoustic waves is used to study nucleation phenomena in liquids. At large amplitude, non-linear effects are important so that the magnitude of pressure or density oscillations is difficult to predict. We present a…

Soft Condensed Matter · Physics 2010-05-11 C. Appert , C. Tenaud , X. Chavanne , S. Balibar , F. Caupin , D. d'Humières

A direct numerical simulation of an oblique shock wave impinging on a turbulent boundary layer at Mach number 2.28 is carried out at moderate Reynolds number, simulating flow conditions similar to those of the experiment by Dupont et al.…

Fluid Dynamics · Physics 2023-01-25 Matteo Bernardini , Giacomo Della Posta , Francesco Salvadore , Emanuele Martelli

With the aim of determining the statistical properties of relativistic turbulence and unveiling novel and non-classical features, we resent the results of direct numerical simulations of driven turbulence in an ultrarelativistic hot plasma…

High Energy Astrophysical Phenomena · Physics 2013-03-07 David Radice , Luciano Rezzolla

We derive and analyze a simplified formulation of the numerical viscosity terms appearing in the expression of the numerical fluxes associated to several High-Resolution Shock-Capturing schemes. After some algebraic pre-processing, we give…

Astrophysics · Physics 2009-10-31 M. A. Aloy , J. A. Pons , J. M. Ibanez

We are concerned with rigorous mathematical analysis of shock diffraction by two-dimensional convex cornered wedges in compressible fluid flow governed by the nonlinear wave system. This shock diffraction problem can be formulated as a…

Analysis of PDEs · Mathematics 2015-06-04 Gui-Qiang G. Chen , Xuemei Deng , Wei Xiang

Relativistic flying mirrors in plasmas are realized as thin dense electron (or electron-ion) layers accelerated by high-intensity electromagnetic waves to velocities close to the speed of light in vacuum. The reflection of an…

Plasma Physics · Physics 2016-08-03 Sergei V. Bulanov , Timur Zh. Esirkepov , Masaki Kando , James K. Koga

We analyse the tumbling of small non-spherical, axisymmetric particles in random and turbulent flows. We compute the orientational dynamics in terms of a perturbation expansion in the Kubo number, and obtain the tumbling rate in terms of…

Fluid Dynamics · Physics 2015-06-15 K. Gustavsson , J. Einarsson , B. Mehlig

Modeling of wall-bounded turbulent flows is still an open problem in classical physics, with only modest progress made in the last few decades beyond the so-called `log law', which describes only the intermediate region in wall-bounded…

Fluid Dynamics · Physics 2018-08-31 Fangying Song , George Em Karniadakis

In this paper, an SPH method based on the SPH-ALE formulation is used for modelling two-phase flows with large density ratios and realistic sound speeds. The SPH scheme is further improved to circumvent the tensile instability that may…

Fluid Dynamics · Physics 2020-03-24 Ashkan Rafiee , Denys Dutykh , Frédéric Dias

The swirling secondary flow in curved pipes is studied in three-space dimensions using a weakly compressible Smoothed Particle Hydrodynamics (WCSPH) formulation coupled to new non-reflecting outflow boundary conditions. A large-eddy…

This paper performs a semi-analytic study of relativistic blast waves in the context of gamma-ray bursts (GRBs). Although commonly used in a wide range of analytical and numerical studies, the equation of state (EOS) with a constant…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Z. Lucas Uhm

Relativistic collisionless shocks are believed to be efficient particle accelerators. Nonlinear outcome of the interaction of accelerated particles that run ahead of the shock, the so-called "precursor", with the unperturbed plasma of the…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Ehud Nakar , Antoine Bret , Milos Milosavljevic

The sedimentation of a rigid particle near a wall in a viscous fluid has been studied numerically by many authors, but analytical solutions have been derived only for special cases such as the motion of spherical particles. In this paper…

Fluid Dynamics · Physics 2015-05-13 William H. Mitchell , Saverio E. Spagnolie

Studies on singular flows in which either the velocity fields or the vorticity fields change dramatically on small regions are of considerable interests in both the mathematical theory and applications. Important examples of such flows…

Analysis of PDEs · Mathematics 2007-05-23 Zhouping Xin

We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

This study investigates the Reynolds-number dependence of shock-induced flow through particle layers at 10\% volume fraction, using ensemble-averaged results from particle-resolved large eddy simulations. The advantage of using large eddy…