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Journal articles on the topic 'Shock wave'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

XU, CHANG-YUE, LI-WEI CHEN, and XI-YUN LU. "NUMERICAL SIMULATION OF SHOCK WAVE AND TURBULENCE INTERACTION OVER A CIRCULAR CYLINDER." Modern Physics Letters B 23, no. 03 (2009): 233–36. http://dx.doi.org/10.1142/s0217984909018084.

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The interaction of shock wave and turbulence for transonic flow over a circular cylinder is investigated using detached-eddy simulation (DES). Several typical cases are calculated for free-stream Mach number M∞ from 0.85 to 0.95, and the physical mechanisms relevant to the shock wave and turbulence interaction are discussed. Results show that there exist two flow states. One is unsteady flow state with moving shock waves interacting with turbulent flow for M∞ < 0.9 approximately, and the other is quasi-steady flow with stationary shocks standing over the wake of the cylinder for M∞ > 0.9

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Xu, Y. F., S. C. Hu, Y. Cai, and S. N. Luo. "Origins of plastic shock waves in single-crystal Cu." Journal of Applied Physics 131, no. 11 (2022): 115901. http://dx.doi.org/10.1063/5.0080757.

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We investigate shock wave propagation in single-crystal Cu with large-scale molecular dynamics simulations. Plastic shock waves propagate via dislocation nucleation or growth. With decreasing particle velocity, a remarkable drop in plastic shock wave velocity relative to the linear shock velocity–particle velocity relation is observed in the elastic–plastic two-wave regime for different loading directions. This reduction can be attributed to the changes in the mechanisms of plastic shock wave generation/propagation, from the dislocation nucleation-dominant mode, to the alternating nucleation a

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3

Levihin, A.A., and I.A. Volobuev. "Microturbine Wave Compressor Optimal Regimes." Problemele Energeticii Regionale 2(43) (August 13, 2019): 1–9. https://doi.org/10.5281/zenodo.3367056.

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The work is devoted to the problem of improving the efficiency of air compression in the compressor of the microturbine installation. The wave compressor in which compression occurs as in a supersonic air intake is investigated. The purpose of the study isto find the region of existence of optimal shock-wave structures at which the stagnation pressure loss in a wave compressor will be minimal. Two cases were studied: compression in a system of two shock waves of the same direction; compression in a centered isentropic wave. The research method combines a numerical experiment with an analytical

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Grady, Dennis. "Wave Structuring in the Shock Compression of Geologic Matter at the Planetary and Laboratory Scales." Annual Review of Earth and Planetary Sciences 53, no. 1 (2025): 81–99. https://doi.org/10.1146/annurev-earth-040523-124246.

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The response of geologic matter when subjected to large-scale impact or explosion is dependent on the time history of the encompassing shock wave. The kinetics of localized physical and chemical transitions brought about by the shock wave are responsive to this time history. Solid-state viscosity of the media is responsible for establishing the time history of a shock wave. In 2003, researcher H. Jay Melosh recognized the need for an understanding of solid viscosity spanning the petrologic and lithologic scales, and accordingly, he undertook the assessment and analysis of available nuclear gro

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Matsuda, Atsushi, Naoki Aoyama, and Yoshiaki Kondo. "OS21-3 Shock Wave Modulation due to Discharged Plasma using the Shock Tube(Multiphase Shock Wave,OS21 Shock wave and high-speed gasdynamics,FLUID AND THERMODYNAMICS)." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2015.14 (2015): 261. http://dx.doi.org/10.1299/jsmeatem.2015.14.261.

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Леонович, Анатолий, Anatoliy Leonovich, Цюган Цзун, et al. "Alfvén waves in the magnetosphere generated by shock wave / plasmapause interaction." Solar-Terrestrial Physics 5, no. 2 (2019): 9–14. http://dx.doi.org/10.12737/stp-52201902.

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We study Alfvén waves generated in the magnetosphere during the passage of an interplanetary shock wave. After shock wave passage, the oscillations with typical Alfvén wave dispersion have been detected in spacecraft observations inside the magnetosphere. The most frequently observed oscillations are those with toroidal polarization; their spatial structure is described well by the field line resonance (FLR) theory. The oscillations with poloidal polarization are observed after shock wave passage as well. They cannot be generated by FLR and cannot result from instability of high-energy particl

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Singh, Manpreet, Federico Fraschetti, and Joe Giacalone. "Electrostatic Plasma Wave Excitations at the Interplanetary Shocks." Astrophysical Journal 943, no. 1 (2023): 16. http://dx.doi.org/10.3847/1538-4357/aca7c6.

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Abstract Over the last few decades, different types of plasma waves (e.g., the ion acoustic waves (IAWs), electrostatic solitary waves, upper/lower hybrid waves, and Langmuir waves) have been observed in the upstream, downstream, and ramp regions of the collisionless interplanetary (IP) shocks. These waves may appear as short-duration (only a few milliseconds at 1 au) electric field signatures in the in-situ measurements, with typical frequencies of ∼1–10 kHz. A number of IAW features at the IP shocks seem to be unexplained by kinetic models and require a new modeling effort. Thus, this paper

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8

INOUE, YOSHINORI, and TAKERU YANO. "Propagation of strongly nonlinear plane N-waves." Journal of Fluid Mechanics 341 (June 25, 1997): 59–76. http://dx.doi.org/10.1017/s0022112097005405.

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Formation and evolution of N (-like) waves is studied without the restriction of low amplitude, namely weak nonlinearity. To this end, the classical piston problem of gasdynamics is investigated, in which the wave is radiated by a piston executing a single cycle of harmonic oscillation into an inviscid perfect gas. The method of analysis is based on the simple-wave theory up to the shock formation time, and beyond that time on the numerical calculation by a high-resolution TVD upwind scheme. The initial sinusoid-like wave profile is rapidly distorted as the wave propagates, and this leads to t

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9

Wang, Xiao, and W. E. Cooke. "Wave-function shock waves." Physical Review A 46, no. 7 (1992): 4347–53. http://dx.doi.org/10.1103/physreva.46.4347.

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10

Huete, C., J. G. Wouchuk, B. Canaud, and A. L. Velikovich. "Analytical linear theory for the shock and re-shock of isotropic density inhomogeneities." Journal of Fluid Mechanics 700 (April 30, 2012): 214–45. http://dx.doi.org/10.1017/jfm.2012.126.

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AbstractWe present an analytical model that describes the linear interaction of two successive shocks launched into a non-uniform density field. The re-shock problem is important in different fields, inertial confinement fusion among them, where several shocks are needed to compress the non-uniform target. At first, we present a linear theory model that studies the interaction of two successive shocks with a single-mode density perturbation field ahead of the first shock. The second shock is launched after the sonic waves emitted by the first shock wave have vanished. Therefore, in the case co

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Harutyunyan, G. A., A. A. Muradyan, A. R. Aramyan, et al. "Analysis of shock wave propagation in the atmosphere through generated sound waves." Journal of Instrumentation 19, no. 06 (2024): C06012. http://dx.doi.org/10.1088/1748-0221/19/06/c06012.

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Abstract The paper presents the results of studies of shock waves propagating in the atmosphere. These results were obtained by recording sound waves generated by a shock wave. It has been shown that it takes approximately two seconds for a shock wave to form. The frequency of the sound wave generated by the shock wave depends on the speed of propagation of the shock wave. It was found that the shock wave accelerates as it propagates upward. This phenomenon can be used as a method for determining the velocities of shock waves or supersonic moving bodies.

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12

Harris, S. E. "Sonic shocks governed by the modified Burgers' equation." European Journal of Applied Mathematics 7, no. 2 (1996): 201–22. http://dx.doi.org/10.1017/s0956792500002291.

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In this paper, we investigate the evolution of N-waves in a medium governed by the modified Burgers' equation. It is shown that the general behaviour when the nonlinearity is of arbitrary odd integer order is the same as for the cubic case. For an N-wave of zero mean displacement, a shock is formed immediately to prevent a multi-valued solution and a second shock is formed at later times. At a finite time, the second shock satisfies a sonic condition and this state persists. The Taylor-type shock structure ceases to be the appropriate description, and instead we have a shock which matches only

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13

Hang, Peng, and Yao Wenjin. "Propagation characteristics of explosion shock waves in air under different temperature and pressure conditions." Journal of Physics: Conference Series 2891, no. 5 (2024): 052011. https://doi.org/10.1088/1742-6596/2891/5/052011.

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Abstract In order to study the propagation characteristics of explosion shock waves in air under different temperature and pressure conditions, stress wave theory and detonation wave theory were first used to analyze the propagation characteristics of shock waves. Combined with numerical simulation results, the propagation characteristics of explosion shock waves were comprehensively analyzed and verified. The following conclusion was drawn: the higher the pressure, the larger the peak value of shock waves at the same spatial position, and the greater the specific impulse of shock waves, Short

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BROWN, B. P., and B. M. ARGROW. "Two-dimensional shock tube flow for dense gases." Journal of Fluid Mechanics 349 (October 25, 1997): 95–115. http://dx.doi.org/10.1017/s0022112097006575.

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Non-stationary oblique shock wave reflections for fluids in the dense gas regime are examined for selected cases. A time-accurate predictor-corrector TVD scheme with reflective boundary conditions for solving the Euler equations simulates the evolution of a wave field for an inviscid van der Waals gas near the thermodynamic critical point. The simulated cases involve shock tube flows with compressive wedges and circular arcs. Non-classical phenomena, such as disintegrating shocks, expansion shocks, composite waves, etc., demonstrate significant differences from perfect gas flow fields over sim

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15

Kai, Y., W. Garen, T. Schlegel, and U. Teubner. "A novel shock tube with a laser–plasma driver." Laser and Particle Beams 35, no. 4 (2017): 610–18. http://dx.doi.org/10.1017/s0263034617000635.

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AbstractA novel method to generate shock waves in small tubes is demonstrated. A femtosecond laser is applied to generate an optical breakdown an aluminum film as target. Due to the sudden appearance of this non-equilibrium state of the target, a shock wave is induced. The shock wave is further driven by the expanding high-pressure plasma (up to 10 Mbar), which serves as a quasi-piston, until the plasma recombines. The shock wave then propagates further into a glass capillary (different square capillaries with hydraulic diameter D down to 50 µm are applied). Shock wave propagation is investiga

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Goyal, Eva, Guljot Singh, Vivek Sharma, Jaspreet Gill, and Gagandeep Gupta. "Extra Corporeal Shock Wave – A New Wave of Therapy." Dental Journal of Advance Studies 03, no. 03 (2015): 129–34. http://dx.doi.org/10.1055/s-0038-1672027.

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AbstractExtracorporeal shock wave therapy (ESWT) has been enormously used in medical practice, especially for the management of various orthopedic and musculoskeletal disorders. Extracorporeal shock wave therapy has favorable effects on stimulating callus formation, inducing angiogenesis and bone regeneration and relieving pain. Studies also indicated that extra corporeal shock waves have a significant bactericidal effect on bone- and implant-associated infections. The present article reviews the various applications of extra corporeal shock wave therapy in the field of dentistry and the possi

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Kononov, D. A., D. V. Bisikalo, V. B. Puzin, and A. G. Zhilkin. "Transient Processes in a Binary System with a White Dwarf." Acta Polytechnica CTU Proceedings 2, no. 1 (2015): 46–49. http://dx.doi.org/10.14311/app.2015.02.0046.

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Using the results of 3D gas dynamic numerical simulations we propose a mechanism that can explain the quiescent multihumped shape of light curves of WZ Sge short-period cataclysmic variable stars. Analysis of the obtained solutions shows that in the modeled system an accretion disk forms. In the outer regions of the disk four shock waves occur: two arms of the spiral tidal shock; “hot line”, a shock wave caused by the interaction of the circum-disk halo and the stream from the inner Lagrangian point; and the bow-shock forming due to the supersonic motion of the accretor and disk in the gas of

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Liu, Shuitao, and Gengyan Xing. "The History of Shock Wave Medicine Development in China." Journal of Regenerative Science 3, no. 2 (2023): 3–4. http://dx.doi.org/10.13107/jrs.2023.v03.i02.87.

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The development of shock wave medicine in China can be traced back to the 1980s. At that time, shock waves were applied to treat urinary tract stones with good results. In 1993, Professor Xing Gengyan pioneered the application of extracorporeal shock wave therapy for humeral epicondylitis, marking a significant milestone in the advancement of shock wave medicine in China. With the deepening of research on shock waves and technological advancements, the indications for shock wave medicine have been continuously expanded, achieving good results in treating bone tissue diseases such as delayed fr

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Vuorinen, Laura, Rami Vainio, Heli Hietala, and Terry Z. Liu. "Monte Carlo Simulations of Electron Acceleration at Bow Waves Driven by Fast Jets in the Earth’s Magnetosheath." Astrophysical Journal 934, no. 2 (2022): 165. http://dx.doi.org/10.3847/1538-4357/ac7f42.

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Abstract The shocked solar wind flows around the Earth’s magnetosphere in the magnetosheath downstream of the Earth’s bow shock. Within this region, faster flows of plasma, called magnetosheath jets, are frequently observed. These jets have been shown to sometimes exhibit supermagnetosonic speeds relative to the magnetosheath flow and to develop bow waves or shocks of their own. Such jet-driven bow waves have been observed to accelerate ions and electrons. We model electron acceleration by magnetosheath jet-driven bow waves using test-particle Monte Carlo simulations. Our simulations suggest t

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20

Kewalramani, Jitendra, Zhenting Zou, Richard Marsh, Bruce Bukiet, and Jay Meegoda. "Nonlinear Behavior of High-Intensity Ultrasound Propagation in an Ideal Fluid." Acoustics 2, no. 1 (2020): 147–63. http://dx.doi.org/10.3390/acoustics2010011.

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In this paper, nonlinearity associated with intense ultrasound is studied by using the one-dimensional motion of nonlinear shock wave in an ideal fluid. In nonlinear acoustics, the wave speed of different segments of a waveform is different, which causes distortion in the waveform and can result in the formation of a shock (discontinuity). Acoustic pressure of high-intensity waves causes particles in the ideal fluid to vibrate forward and backward, and this disturbance is of relatively large magnitude due to high-intensities, which leads to nonlinearity in the waveform. In this research, this

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Kawamura, Yosuke, and Masafumi Nakagawa. "OS21-2 Experimental Study on the Oblique Shock Waves and Expansion Waves in the Supersonic Carbon Dioxide Two-phase Flow(Multiphase Shock Wave,OS21 Shock wave and high-speed gasdynamics,FLUID AND THERMODYNAMICS)." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2015.14 (2015): 260. http://dx.doi.org/10.1299/jsmeatem.2015.14.260.

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GUARDONE, ALBERTO. "Three-dimensional shock tube flows for dense gases." Journal of Fluid Mechanics 583 (July 4, 2007): 423–42. http://dx.doi.org/10.1017/s0022112007006313.

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The formation process of a non-classical rarefaction shock wave in dense gas shock tubes is investigated by means of numerical simulations. To this purpose, a novel numerical scheme for the solution of the Euler equations under non-ideal thermodynamics is presented, and applied for the first time to the simulation of non-classical fully three-dimensional flows. Numerical simulations are carried out to study the complex flow field resulting from the partial burst of the shock tube diaphragm, a situation that has been observed in preliminary trials of a dense gas shock tube experiment. Beyond th

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Nakagawa, Atsuhiro, Yasuko Kusaka, Takayuki Hirano, et al. "Application of shock waves as a treatment modality in the vicinity of the brain and skull." Journal of Neurosurgery 99, no. 1 (2003): 156–62. http://dx.doi.org/10.3171/jns.2003.99.1.0156.

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Object. Shock waves have not previously been used as a treatment modality for lesions in the brain and skull because of the lack of a suitable shock wave source and concerns about safety. Therefore, the authors have performed experiments aimed at developing both a new, compact shock wave generator with a holmium:yttrium-aluminum-garnet (Ho:YAG) laser and a safe method for exposing the surface of the brain to these shock waves. Methods. Twenty male Sprague—Dawley rats were used in this study. In 10 rats, a single shock wave was delivered directly to the brain, whereas the protective effect of i

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Kravchenko, Denis S., Elena V. Kustova, and Maksim Yu Melnik. "Higher criteria for the regularity of a one-dimensional local field." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 9, no. 3 (2022): 426–39. http://dx.doi.org/10.21638/spbu01.2022.304.

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A coupled problem of gasdynamics, vibrational relaxation, and dissociation in the flow of oxygen behind reflected shock waves is studied. The detailed state-to-state kinetic approach is used, which is based on a coupled solution of the momentum and energy conservation equations with the balance equations for molecular vibrational state populations and concentrations of oxygen atoms. Initial conditions corresponding to recent experiments in shock tubes are considered. For different models of physicochemical processes, a comparison is made with experimental data; varying the model parameters yie

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Bohdan, Artem, Aaron Tran, Lorenzo Sironi, and Lynn B. Wilson. "Electrostatic Waves and Electron Holes in Simulations of Low-Mach Quasi-perpendicular Shocks." Astrophysical Journal 974, no. 1 (2024): 37. http://dx.doi.org/10.3847/1538-4357/ad6b0c.

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Abstract Collisionless low-Mach-number shocks are abundant in astrophysical and space plasma environments, exhibiting complex wave activity and wave–particle interactions. In this paper, we present 2D Particle-in-Cell (PIC) simulations of quasi-perpendicular nonrelativistic (v sh ≈ (5500–22000) km s−1) low-Mach-number shocks, with a specific focus on studying electrostatic waves in the shock ramp and precursor regions. In these shocks, an ion-scale oblique whistler wave creates a configuration with two hot counterstreaming electron beams, which drive unstable electron acoustic waves (EAWs) tha

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Yan, Dong, Jinchang Zhao, and Shaoqing Niu. "Normal Reflection Characteristics of One-Dimensional Unsteady Flow Shock Waves on Rigid Walls from Pulse Discharge in Water." Shock and Vibration 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/6958085.

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Strong shock waves can be generated by pulse discharge in water, and the characteristics due to the shock wave normal reflection from rigid walls have important significance to many fields, such as industrial production and defense construction. This paper investigates the effects of hydrostatic pressures and perturbation of wave source (i.e., charging voltage) on normal reflection of one-dimensional unsteady flow shock waves. Basic properties of the incidence and reflection waves were analyzed theoretically and experimentally to identify the reflection mechanisms and hence the influencing fac

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MARCHANT, T. R., and NOEL F. SMYTH. "APPROXIMATE TECHNIQUES FOR DISPERSIVE SHOCK WAVES IN NONLINEAR MEDIA." Journal of Nonlinear Optical Physics & Materials 21, no. 03 (2012): 1250035. http://dx.doi.org/10.1142/s021886351250035x.

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Many optical and other nonlinear media are governed by dispersive, or diffractive, wave equations, for which initial jump discontinuities are resolved into a dispersive shock wave. The dispersive shock wave smooths the initial discontinuity and is a modulated wavetrain consisting of solitary waves at its leading edge and linear waves at its trailing edge. For integrable equations the dispersive shock wave solution can be found using Whitham modulation theory. For nonlinear wave equations which are hyperbolic outside the dispersive shock region, the amplitudes of the solitary waves at the leadi

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Johnson, Jerome B. "Simple model of shock-wave attenuation in snow." Journal of Glaciology 37, no. 127 (1991): 303–12. http://dx.doi.org/10.1017/s0022143000005724.

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AbstractA simple momentum model, assuming that snow compacts along a prescribed pressure–density curve, is used to calculate the pressure attenuation of shock waves in snow. Four shock-loading situations are examined: instantaneously applied pressure impulses for one-dimensional, cylindrical and spherical shock-wave geometries, and a one-dimensional pressure impulse of finite duration. Calculations show that for an instantaneously applied impulse the pressure attenuation for one-dimensional, cylindrical and spherical shock waves is determined by the pressure density (P–ρ) compaction curve of s

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Johnson, Jerome B. "Simple model of shock-wave attenuation in snow." Journal of Glaciology 37, no. 127 (1991): 303–12. http://dx.doi.org/10.3189/s0022143000005724.

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AbstractA simple momentum model, assuming that snow compacts along a prescribed pressure–density curve, is used to calculate the pressure attenuation of shock waves in snow. Four shock-loading situations are examined: instantaneously applied pressure impulses for one-dimensional, cylindrical and spherical shock-wave geometries, and a one-dimensional pressure impulse of finite duration. Calculations show that for an instantaneously applied impulse the pressure attenuation for one-dimensional, cylindrical and spherical shock waves is determined by the pressure density (P–ρ) compaction curve of s

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Lubchich, A. A., and I. V. Despirak. "Magnetohydrodynamic waves within the medium separated by the plane shock wave or rotational discontinuity." Annales Geophysicae 23, no. 5 (2005): 1889–908. http://dx.doi.org/10.5194/angeo-23-1889-2005.

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Abstract. Characteristics of small amplitude plane waves within the medium separated by the plane discontinuity into two half spaces are analysed. The approximation of the ideal one-fluid magnetohydrodynamics (MHD) is used. The discontinuities with the nonzero mass flux across them are mainly examined. These are fast or slow shock waves and rotational discontinuities. The dispersion equation for MHD waves within each of half space is obtained in the reference frame connected with the discontinuity surface. The solution of this equation permits one to determine the wave vectors versus the param

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Haider, Jamil A., Sana Gul, Jamshaid U. Rahman, and Fiazud D. Zaman. "Travelling Wave Solutions of the Non-Linear Wave Equations." Acta Mechanica et Automatica 17, no. 2 (2023): 239–45. http://dx.doi.org/10.2478/ama-2023-0027.

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Abstract This article focuses on the exact periodic solutions of nonlinear wave equations using the well-known Jacobi elliptic function expansion method. This method is more general than the hyperbolic tangent function expansion method. The periodic solutions are found using this method which contains both solitary wave and shock wave solutions. In this paper, the new results are computed using the closed-form solution including solitary or shock wave solutions which are obtained using Jacobi elliptic function method. The corresponding solitary or shock wave solutions are compared with the act

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Uddin, Sabur, Shazia Karim, F. S. Alshammari, et al. "Bifurcation Analysis of Travelling Waves and Multi-rogue Wave Solutions for a Nonlinear Pseudo-Parabolic Model of Visco-Elastic Kelvin-Voigt Fluid." Mathematical Problems in Engineering 2022 (September 27, 2022): 1–16. http://dx.doi.org/10.1155/2022/8227124.

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Through this article, we focus on the extension of travelling wave solutions for a prevalent nonlinear pseudo-parabolic physical Oskolkov model for Kevin-Voigt fluids by using two integral techniques. First of all, we explore the bifurcation and phase portraits of the model for different parametric conditions via a dynamical system approach. We derive smooth waves of the bright bell and dark bell, periodic waves, and singular waves of dark and bright cusps, in correspondence to homoclinic, periodic, and open orbits with cusp, respectively. Each orbit of the phase portraits is envisaged through

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Xi, Jin, Li Jie, Li Jin, Luo Hao, and Zhang Liheng. "Clinical Study on Appropriate Energy of Extracorporeal Shock Wave for Rotator Cuff Non-calcific Tendinopathy Treatment." Journal of Regenerative Science 3, no. 2 (2023): 47–51. http://dx.doi.org/10.13107/jrs.2023.v03.i02.103.

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Objective: This study aims to investigate the short-term clinical efficacy of extracorporeal shock waves with different energy levels on rotator cuff non-calcific tendinopathy. Materials and Methods: A total of 139 patients with rotator cuff rotator non-calcific tendinopathy were randomly divided into eight groups based on the different energy levels of the Dornier Aries smart focus shock wave therapy device: Level 5, 2000 shocks (0.062 mJ/mm2), Level 6, 2000 shocks (0.084 mJ/mm2), Level 7, 2000 shocks (0.096 mJ/mm2), Level 8, 2000 shocks (0.117 mJ/mm2), Level 5, 3000 shocks (0.062 mJ/mm2), Le

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Harutyunyan, V. G., A. R. Aramyan, G. R. Aramyan, et al. "Study of the Development of Sound Waves Generated by Shock Waves." Journal of Physics: Conference Series 2657, no. 1 (2023): 012008. http://dx.doi.org/10.1088/1742-6596/2657/1/012008.

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Abstract The work is devoted to studies of the time development of sound waves generated by shock waves. It is shown that the shock wave, propagating, generates an acoustic wave whose frequency changes over time. That change is related to the change in the speed of propagation of the shock wave.

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Bai, Chen-Yuan, and Zi-Niu Wu. "Size and shape of shock waves and slipline for Mach reflection in steady flow." Journal of Fluid Mechanics 818 (March 29, 2017): 116–40. http://dx.doi.org/10.1017/jfm.2017.139.

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For Mach reflection in steady supersonic flow, the slipline and reflected shock wave from the triple point are disturbed by secondary Mach waves generated over the slipline and by the expansion fan from the rear wedge corner. Analytical expressions for the shape of the curved slipline and reflected shock wave are derived in this paper. It is found that, due to transmitted expansion waves from the expansion fan, the slipline has a slope discontinuity at the turning point, i.e., the intersection point of the slipline and the leading characteristics of the transmitted expansion wave. The hypothet

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Mahesh, Krishnan, Sangsan Lee, Sanjiva K. Lele, and Parviz Moin. "The interaction of an isotropic field of acoustic waves with a shock wave." Journal of Fluid Mechanics 300 (October 10, 1995): 383–407. http://dx.doi.org/10.1017/s0022112095003739.

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Moore's (1954) inviscid linear analysis of the interaction of a shock wave with a plane acoustic wave is evaluated by comparison to computation. The analysis is then extended to study the interaction of an isotropic field of acoustic waves with a normal shock wave. The evolution of fluctuating kinetic energy, sound level and thermodynamic fluctuations across the shock wave are examined in detail.The interaction of acoustic fluctuations with the shock is notably different from that of vortical fluctuations. The kinetic energy of the acoustic fluctuationsdecreasesacross the shock wave for Mach n

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Marinov, Assen. "Comparison of oblique shock wave angle in analytical and numerical solution." Aerospace Research in Bulgaria 31 (2019): 137–42. http://dx.doi.org/10.3897/arb.v31.e12.

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The drag of the subsonic aircraft is largely formed by the skin friction drag and lift-induced drag. At transonic flight occurs shock wave. Determination of shock wave angle is important part of design of every aircraft, which working in supersonic airflow regimes. Formation of shock waves cause formation the wave drag. The wave drag could account about 35% from total drag of aircraft. Shock wave angle is directly linked with the intensity of itself. This work compares shock wave angle calculations using analytical and numerical solving methods.

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Shi, Xiaofei, Terry Liu, Anton Artemyev, Vassilis Angelopoulos, Xiao-Jia Zhang, and Drew L. Turner. "Intense Whistler-mode Waves at Foreshock Transients: Characteristics and Regimes of Wave−Particle Resonant Interaction." Astrophysical Journal 944, no. 2 (2023): 193. http://dx.doi.org/10.3847/1538-4357/acb543.

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Abstract Thermalization and heating of plasma flows at shocks result in unstable charged-particle distributions that generate a wide range of electromagnetic waves. These waves, in turn, can further accelerate and scatter energetic particles. Thus, the properties of the waves and their implication for wave−particle interactions are critically important for modeling energetic particle dynamics in shock environments. Whistler-mode waves, excited by the electron heat flux or a temperature anisotropy, arise naturally near shocks and foreshock transients. As a result, they can often interact with s

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Markhotok, Anna. "The Post-Shock Nonequilibrium Relaxation in a Hypersonic Plasma Flow Involving Reflection off a Thermal Discontinuity." Plasma 6, no. 1 (2023): 181–97. http://dx.doi.org/10.3390/plasma6010014.

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The evolution in the post-shock nonequilibrium relaxation in a hypersonic plasma flow was investigated during a shock’s reflection off a thermal discontinuity. It was found that within a transitional period, the relaxation zone parameters past both the reflected and transmitted waves evolve differently compared to that in the incident wave. In a numerical example for the non-dissociating N2 gas heated to 5000 K/10,000 K across the interface and M = 3.5, the relaxation time determined for the transmitted wave is up to 50% shorter and the relaxation depth for both waves is significantly reduced,

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LEE, SANGSAN, SANJIVA K. LELE, and PARVIZ MOIN. "Interaction of isotropic turbulence with shock waves: effect of shock strength." Journal of Fluid Mechanics 340 (June 10, 1997): 225–47. http://dx.doi.org/10.1017/s0022112097005107.

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As an extension of the authors' work on isotropic vortical turbulence interacting with a shock wave (Lee, Lele & Moin 1993), direct numerical simulation and linear analysis are performed for stronger shock waves to investigate the effects of the upstream shock-normal Mach number (M1). A shock-capturing scheme is developed to accurately simulate the unsteady interaction of turbulence with shock waves. Turbulence kinetic energy is amplified across the shock wave, and this amplification tends to saturate beyond M1 = 3.0. An existing controversy between experiments and theoretical predictions

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Lowe, R. E., and D. Burgess. "The properties and causes of rippling in quasi-perpendicular collisionless shock fronts." Annales Geophysicae 21, no. 3 (2003): 671–79. http://dx.doi.org/10.5194/angeo-21-671-2003.

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Abstract. The overall structure of quasi-perpendicular, high Mach number collisionless shocks is controlled to a large extent by ion reflection at the shock ramp. Departure from a strictly one-dimensional structure is indicated by simulation results showing that the surface of such shocks is rippled, with variations in the density and all field components. We present a detailed analysis of these shock ripples, using results from a two-dimensional hybrid (particle ions, electron fluid) simulation. The process that generates the ripples is poorly understood, because the large gradients at the sh

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Hewitt, Paul. "SHOCK WAVE." Physics Teacher 58, no. 1 (2020): 4. http://dx.doi.org/10.1119/1.5141957.

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HALLUCIGENIA. "Shock wave." Geology Today 11, no. 3 (1995): 86–87. http://dx.doi.org/10.1111/j.1365-2451.1995.tb00919.x.

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Coulouvrat, Francois. "Nonlinear acoustical transmission through a weak shock wave." Journal of the Acoustical Society of America 152, no. 4 (2022): A228. http://dx.doi.org/10.1121/10.0016098.

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Recent experiments (Ducousso et al., Phys. Rev. Appl., L051002, 2021) demonstrated the possibility to image weak shock propagation in solids by an ultrasonic probe wave. Wave interaction with a steady, ideal step shock in air has been previously described (Burgers, Selected Papers, Springer, 478–486, 1995—McKenzie and Westphal, Phys. Fluids, 11, 2350, 1968), without consideration for the particular case of a weak shock nor for the influence of the medium. The present paper considers a weak shock interacting in any inviscid fluid with an incident probe wave. No reflected wave arises. The transm

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Chen, Kaiyi. "High Energy Cosmic Generation Form Collisionless Shock Wave Acceleration." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 835–41. http://dx.doi.org/10.54097/hset.v38i.5967.

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The collision less shock wave one of the shock waves that is more likely to detect in the plasma that come from the magnetosphere, interplanetary space and so far. The most significance difference between other shock wave is the direct collision between particle is almost not exist. To be specific, the bow shock wave that occur by the interact of magnetosphere of an astrophysical object and solar wind is one of the collisions less shock wave. The collision-less shock wave in the universe could accelerate the particle in to high energy and form cosmic rays. In this essay, the basic reorganizati

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Kato, Kaoruko, Miki Fujimura, Atsuhiro Nakagawa, et al. "Pressure-dependent effect of shock waves on rat brain: induction of neuronal apoptosis mediated by a caspase-dependent pathway." Journal of Neurosurgery 106, no. 4 (2007): 667–76. http://dx.doi.org/10.3171/jns.2007.106.4.667.

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Object Shock waves have been experimentally applied to various neurosurgical treatments including fragmentation of cerebral emboli, perforation of cyst walls or tissue, and delivery of drugs into cells. Nevertheless, the application of shock waves to clinical neurosurgery remains challenging because the threshold for shock wave–induced brain injury has not been determined. The authors investigated the pressure-dependent effect of shock waves on histological changes of rat brain, focusing especially on apoptosis. Methods Adult male rats were exposed to a single shot of shock waves (produced by

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Faran, Tamar, Christopher D. Matzner, and Eliot Quataert. "Nonlinear Perturbations and Weak Shock Waves in Isentropic Atmospheres." Astrophysical Journal 976, no. 1 (2024): 97. http://dx.doi.org/10.3847/1538-4357/ad843c.

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Abstract Acoustic perturbations to stellar envelopes can lead to the formation of weak shock waves via nonlinear wave steepening. Close to the stellar surface, the weak shock wave increases in strength and can potentially lead to the expulsion of part of the stellar envelope. While accurate analytic solutions to the fluid equations exist in the limits of low-amplitude waves or strong shocks, connecting these phases generally requires simulations. We address this problem using the fact that the plane-parallel Euler equations, in the presence of a constant gravitational field, admit exact Rieman

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Król, Piotr, Andrzej Franek, Jacek Durmała, et al. "Focused and Radial Shock Wave Therapy in the Treatment of Tennis Elbow: A Pilot Randomised Controlled Study." Journal of Human Kinetics 47, no. 1 (2015): 127–35. http://dx.doi.org/10.1515/hukin-2015-0068.

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AbstractThe purpose of this article was to evaluate and compare the efficacy of radial and focused shock wave therapies applied to treat tennis elbow. Patients with tennis elbow were randomized into two comparative groups: focused shock wave therapy (FSWT; n=25) and radial shock wave therapy (RSWT; n=25). Subjects in the FSWT and RSWT groups were applied with a focused shock wave (3 sessions, 2000 shocks, 4 Hz, 0.2 mJ/mm2) and a radial shock wave (3 sessions, 2000 + 2000 shocks, 8 Hz, 2.5 bar), respectively. The primary study endpoints were pain relief and functional improvement (muscle streng

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Eliezer, Shalom, and Jose Maria Martinez Val. "The comeback of shock waves in inertial fusion energy." Laser and Particle Beams 29, no. 2 (2011): 175–81. http://dx.doi.org/10.1017/s0263034611000140.

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AbstractThe shock waves in laser plasma interaction have played an important role in the study of inertial fusion energy (IFE) since the 1970's and perhaps earlier. The interaction of laser, or any other high power beam, induced shock waves with matter was one of the foundations of the target design in IFE. Even the importance of shock wave collision was studied and its importance forgotten. In due course, the shock waves were taken as granted and became “second fiddle” in IFE scenario. The analysis of the shock wave in the context of IFE is revived in this paper. At the forefront of the past

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Chen, Na, and Hanhua Ji. "Cardiac Shock Wave Therapy in Cardiovascular Diseases." Journal of Regenerative Science 3, no. 2 (2023): 81–86. http://dx.doi.org/10.13107/jrs.2023.v03.i02.115.

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Cardiovascular disease is one of the leading causes of death worldwide, placing a huge burden on patients and healthcare systems. Cardiac shock wave (CSW) technology is a non-invasive treatment method. In recent years, some scholars have discovered that extracorporeal shock wave can improve cardiovascular ischemic lesions. This article reviews the latest progress in basic research and clinical application of cardiac shock wave technology in cardiovascular medicine and reviews its efficacy and potential mechanisms in different diseases. First, the principle of shock waves and their application

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