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Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution…

Mathematical Physics · Physics 2007-10-02 Volker Elling

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The complexity of reflection-diffraction…

Analysis of PDEs · Mathematics 2009-09-30 Gui-Qiang Chen , Mikhail Feldman

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward in time. Experimental, computational, and asymptotic analysis…

Analysis of PDEs · Mathematics 2007-08-21 Gui-Qiang Chen , Mikhail Feldman

When a plane shock hits a two-dimensional wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The experimental, computational,…

Analysis of PDEs · Mathematics 2019-10-08 Gui-Qiang G. Chen , Mikhail Feldman , Wei Xiang

In the context of the interaction between a moving plane shock wave and an inclined wall (wedge), it is possible to distinguish four distinct shock reflection configurations. These shock wave reflections, which depend on the characteristics…

Fluid Dynamics · Physics 2023-09-13 Sebastian Valencia , Cesar Celis , Andres Mendiburu , Luis Bravo , Prashant Khare

The present study investigates the shock wave interactions involving stationary and moving wedges using a sharp interface immersed boundary method combined with a fifth order weighted essentially non oscillatory (WENO) scheme. Inspired by…

Fluid Dynamics · Physics 2021-02-01 Pradeep Kumar Seshadri , Ashoke De

Regular reflection (RR) to Mach reflection(MR) transitions (RR-MR) on long wedges in steady supersonic flows have been well studied and documented. However, in a short wedge where the wedge length is small, the transition prediction becomes…

Fluid Dynamics · Physics 2023-07-10 Vinod Yeldho Baby , Vinoth Paramanantham , G Rajesh

The objective of this study is to determine the critical conditions for a detonation wave formation following a Mach reflection of two incident shocks. This problem is central to the propagation mechanism of cellular detonations, where such…

Fluid Dynamics · Physics 2023-12-11 Farzane Zangene , Matei Radulescu

In this paper, we study the problem of shock reflection by a wedge, with the potential flow equation, which is a simplification of the Euler System. In the work of M. Feldman and G. Chen, the existence theory of shock reflection problems…

Analysis of PDEs · Mathematics 2021-03-31 Jingchen Hu

Shock reflection experiments are performed to study the large-scale convective mixing created by the forward jetting phenomenon. Experiments are performed at a wedge angle of $\theta_{\mathrm{w}} = 30^{\circ}$ in nitrogen, propane-oxygen,…

Fluid Dynamics · Physics 2020-12-30 S. S. -M. Lau-Chapdelaine , Q. Xiao , M. I. Radulescu

The interaction of a shock wave with a localized constriction in a straight conduit is investigated by systematically varying the blockage ratio in the range 0.35-0.75, the normalized constriction length in the range 0.25-2, and the…

Fluid Dynamics · Physics 2026-03-05 Raz Heppner , Hemanth Chandravamsi , Yoav Gichon , Steven H. Frankel , Omri Ram

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

The problem of a weak shock, reflected and diffracted by a wedge, is studied for the two-dimensional compressible Euler system. Some recent developments are overviewed and a perspective is presented within the context of a real gas, modeled…

Analysis of PDEs · Mathematics 2014-05-06 Neelam Gupta , V. D. Sharma

Shocks are ubiquitous in astrophysical sources, many of which involve relativistic bulk motions, leading to the formation of relativistic shocks. Such relativistic shocks have so far been studied mainly in one dimension, for simplicity, but…

High Energy Astrophysical Phenomena · Physics 2023-09-25 Prasanta Bera , Jonathan Granot , Michael Rabinovich , Paz Beniamini

Shock waves are fundamental in nature. One of the most fundamental problems in fluid mechanics is shock reflection-diffraction by wedges. The complexity of reflection-diffraction configurations was first reported by Ernst Mach in 1878. The…

Analysis of PDEs · Mathematics 2013-11-25 Gui-Qiang G. Chen , Mikhail Feldman

Using a matched asymptotic expansion we analyze the two-dimensional, near- critical reflection of a weakly nonlinear, internal gravity wave from a sloping boundary in a uniformly stratified fluid. Taking a distinguished limit in which the…

patt-sol · Physics 2017-05-17 T. Dauxois , W. R. Young

Shock wave refraction at a sharp density interface is a classical problem in hydrodynamics. Presently, we investigate the strongly planar refraction of a magnetohydrodynamic (MHD) shock wave at an inclined density interface. A magnetic…

Fluid Dynamics · Physics 2022-03-14 Fang Chen , Vincent Wheatley , Ravi Samtaney

The dynamics of a shock wave impinging on a transitional high-enthalpy boundary layer out of thermochemical equilibrium is investigated for the first time by means of a direct numerical simulation. The freestream Mach number is equal to 9…

Fluid Dynamics · Physics 2022-12-15 Donatella Passiatore , Luca Sciacovelli , Paola Cinnella , Giuseppe Pascazio

The intakes of air-breathing high-speed flying vehicles produce a large share of the thrust propulsion. Furthermore, the propulsion performance of these engines increases when the single-ramp intake is replaced with a multiple-ramps intake.…

Fluid Dynamics · Physics 2023-03-01 Lubna Margha , Ahmed A. Hamada , Othman Ahmed , Ahmed Eltaweel

The transition between the Regular Reflection (RR) and Mach Reflection (MR) phenomenon impacts the design of the supersonic and hypersonic air-breathing vehicles. The aim of this paper is to numerically investigate the dynamic transition…

Fluid Dynamics · Physics 2023-03-01 Lubna Margha , Ahmed A. Hamada , Doyle D. Knight , Ahmed Eltaweel
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