Relevant bibliographies by topics / Kirchhoff vortex

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Kirchhoff vortex'

Author: Grafiati
Published: 9 November 2024
Last updated: 31 July 2025

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Journal articles on the topic "Kirchhoff vortex"

1

Wan, Yieh-Hei. "Bifurcation At Kirchhoff Elliptic vortex with eccentricity." Dynamics and Stability of Systems 13, no. 3 (1998): 281–97. http://dx.doi.org/10.1080/02681119808806265.

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2

STRAWN, ROGER C., RUPAK BISWAS, and ANASTASIOS S. LYRINTZIS. "HELICOPTER NOISE PREDICTIONS USING KIRCHHOFF METHODS." Journal of Computational Acoustics 04, no. 03 (1996): 321–39. http://dx.doi.org/10.1142/s0218396x96000106.

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This paper presents two methods for predicting the noise from helicopter rotors in forward flight. Aerodynamic and acoustic solutions in the near field are computed with a finite-difference solver for the Euler equations. Two different Kirchhoff acoustics methods are then used to propagate the acoustic signals to the far field in a computationally-efficient manner. One of the methods uses a Kirchhoff surface that rotates with the rotor blades. The other uses a nonrotating Kirchhoff surface. Results from both methods are compared to experimental data for both high-speed impulsive noise and blad
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OVCHINNIKOV, Y. N., and I. M. SIGAL. "The energy of Ginzburg–Landau vortices." European Journal of Applied Mathematics 13, no. 2 (2002): 153–78. http://dx.doi.org/10.1017/s0956792501004752.

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We consider the Ginzburg–Landau equation in dimension two. We introduce a key notion of the vortex (interaction) energy. It is defined by minimizing the renormalized Ginzburg–Landau (free) energy functional over functions with a given set of zeros of given local indices. We find the asymptotic behaviour of the vortex energy as the inter-vortex distances grow. The leading term of the asymptotic expansion is the vortex self-energy while the next term is the classical Kirchhoff–Onsager Hamiltonian. To derive this expansion we use several novel techniques.
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Vladimirov, V. A., and K. I. Il'in. "Three-dimensional instability of an elliptic Kirchhoff vortex." Fluid Dynamics 23, no. 3 (1988): 356–60. http://dx.doi.org/10.1007/bf01054740.

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Crowdy, Darren, and Jonathan Marshall. "Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2060 (2005): 2477–501. http://dx.doi.org/10.1098/rspa.2005.1492.

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Explicit formulae for the Kirchhoff–Routh path functions (or Hamiltonians) governing the motion of N -point vortices in multiply connected domains are derived when all circulations around the holes in the domain are zero. The method uses the Schottky–Klein prime function to find representations of the hydrodynamic Green's function in multiply connected circular domains. The Green's function is then used to construct the associated Kirchhoff–Routh path function. The path function in more general multiply connected domains then follows from a transformation property of the path function under co
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Liang, Bin, Roger M. Waxler, and Paul Markowski. "A theory for the emission of infrasound from Tornadoes." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A202. http://dx.doi.org/10.1121/10.0027306.

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Tornadoes have been shown to radiate infrasound to great distances, however convincing fundamental sound mechanisms are still absent. After using vortex sound theory to study sound generated by two numerical tornadoes, we found that there is a significant low-frequency signal between 0.1 Hz and 1 Hz. The sound is closely related to rotation of the non-axisymmetric vorticity field and its frequency depends on the rotational frequency. The non-axisymmetric vorticity field is represented by a Kirchhoff vortex-like flow in baseline tornado model and by multiple-vortex flow in eddy injection tornad
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Hong, Shuli, Jun Chi, Xin Xiang, and Weiyu Lu. "Theoretical Model and Numerical Analysis of the Tip Leakage Vortex Variations of a Centrifugal Compressor." Aerospace 9, no. 12 (2022): 830. http://dx.doi.org/10.3390/aerospace9120830.

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A centrifugal compressor of a micro turbine generator system is investigated by the theoretical model and numerical analysis to explore the characteristics of the tip leakage vortex as the centrifugal compressor approaches stall. The numerical simulation results show the cross-sectional shape of the tip leakage vortex is elliptical, and its long and short axes are gradually stretched as the compressor approaches stall. Moreover, the vortex trajectory is inclined to the pressure side of the adjacent blade. In addition, the Kirchhoff elliptical vortex model is introduced to analyze the flow pass
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Nagem, Raymond, Guido Sandri, David Uminsky, and C. Eugene Wayne. "Generalized Helmholtz–Kirchhoff Model for Two-Dimensional Distributed Vortex Motion." SIAM Journal on Applied Dynamical Systems 8, no. 1 (2009): 160–79. http://dx.doi.org/10.1137/080715056.

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Zhang, Xiaoxiao, Xiang Su, Zhensen Wu, and Shanzhe Wang. "Analyzing Vortex Light Beam Scattering Characteristics from a Random Rough Surface." Photonics 10, no. 9 (2023): 955. http://dx.doi.org/10.3390/photonics10090955.

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The propagation and scattering of vortex light beams in complex media have significant implications in the fields of laser imaging, optical manipulation, and communication. This paper investigates the scattering characteristics of vortex light beams from a random rough surface. Firstly, a two-dimensional Gaussian rough surface is generated using the Monte Carlo method combined with the linear filtering method. Subsequently, the vortex beams are decomposed into the superposition of infinite plane waves, and the scattering of each plane wave from the rough surface is calculated using the Kirchho
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Fukumoto, Yasuhide. "Analogy between a vortex-jet filament and the Kirchhoff elastic rod." Fluid Dynamics Research 39, no. 7 (2007): 511–20. http://dx.doi.org/10.1016/j.fluiddyn.2006.12.004.

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Dissertations / Theses on the topic "Kirchhoff vortex"

1

Martin, Martin Laura. "Numerical study of sound scattering by isolated elliptic vortices and turbulent jet shear layers." Electronic Thesis or Diss., Ecully, Ecole centrale de Lyon, 2024. http://www.theses.fr/2024ECDL0025.

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Cette étude est consacrée à la diffusion d'ondes acoustiques par des tourbillons isolés et couches de cisaillement de jet turbulentes. Lorsque les ondes acoustiques traversent un volume de turbulence, les fluctuations de la turbulence modifient la direction de propagation des ondes. En outre, si la turbulence évolue dans le temps, le contenu spectral du son change également, ce qui entraîne un élargissement spectral. Afin de mieux comprendre ces phénomènes, une série d'analyses numériques a été réalisée. Pour ce faire, un code fourni par Siemens a été utilisé, dans lequel les Equations d'Euler
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Books on the topic "Kirchhoff vortex"

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Zeitlin, Vladimir. Vortex Dynamics on the f and beta Plane and Wave Radiation by Vortices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0006.

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Quasi-geostrophic dynamics being essentially the vortex dynamics, the main notions of vortex dynamics in the plane are introduced in this chapter. Dynamics of vorticity is treated both in Eulerian and Lagrangian descriptions. Dynamics of point vortices and vortex patches (contour dynamics) are recalled, as well as discretisations of the vorticity equation preserving Casimir invariants, which reflect Lagrangian conservation of vorticity. The influence of the beta effect upon vortices is illustrated, and exact modon solutions of the QG equations on the f and beta planes are constructed. Basic no
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Book chapters on the topic "Kirchhoff vortex"

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Yang, Yisong. "Hamiltonian systems and applications." In Mathematical Physics with Differential Equations. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192872616.003.0001.

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Abstract This initial chapter starts with an investigation and discussion of Hamiltonian systems and applications. The chapter then continues with a canonical formulation of classical mechanics. The chapter then examines and elaborates on the classical many-body problems. Next, the chapter focuses on Kepler’s three laws of planetary motion, which is followed by a discussion of Newton’s law of gravitation. The chapter also studies the Kirchhoff point vortices as well as the thermodynamics of a DNA double-helix chain. It also covers the topics of the motion of a massive particle, the Helmholtz-K
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Conference papers on the topic "Kirchhoff vortex"

1

Li, Wenhua, Z. C. Zheng, and Ying Xu. "Flow/Acoustic Mechanisms in Three-Dimensional Vortices Undergoing Sinusoidal-Wave Instabilities." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43163.

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It has been identified that vorticity in a vortex core directly relates to the frequency of a significant sound peak from an aircraft wake vortex pair where each of the vortices is modeled as an elliptic core Kirchhoff vortex. In three-dimensional vortices, sinusoidal instabilities at various length scales result in significant flow structure changes in these vortices, and thus influence their radiated acoustic signals. In this study, a three-dimensional vortex particle method is used to simulate the incompressible vortical flow. The flow field, in the form of vorticity, is employed as the sou
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Bidkar, Rahul A., Arvind Raman, and Anil K. Bajaj. "Aeroelastic Stability of Wide Webs and Narrow Ribbons." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35169.

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Uni-axially tensioned wide webs and narrow ribbons commonly used in the paper-handling, textile, sheet-metal, and plastics industries are known to undergo large amplitude vibrations characterized as aeroelastic flutter. The aeroelastic stability of stationary wide webs and narrow ribbons coupled with fluid flow across the free edges of the web or ribbon is investigated in this article. The web or ribbon is modeled as a uni-axially tensioned Kirchhoff plate with vanishingly small bending stiffness. The 3D unsteady fluid flow surrounding the web or ribbon is evaluated numerically by using the vo
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Lee, Duck-Joo, Wan-Ho Jeon, and Ki-Hoon Chung. "Development and Application of Fan Noise Prediction Method to Axial and Centrifugal Fan." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31209.

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Numerical predictions of fan noise have not been studied extensively. This is due to the scattering effect of the fan casing, duct and the difficulty in obtaining aerodynamic acoustic source. New method to predict the fan noise and performance is developed and used to calculate various fan noise problems. A vortex method is used to model the fan and to calculate the flow field. Acoustic pressures are obtained from the unsteady force fluctuations of the blades using an acoustic analogy. But the acoustic analogy can be applied only in the free field in general. In order to consider the solid bou
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