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Champ diffusé par un cylindre fluide: Comparaison entre la théorie géométrique de la diffraction et la théorie modale

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A numerical analysis is made of each contribution to the pressure field radiated by an immersed fluid cylinder, namely the circumferential waves (internal and creeping waves), and the geometrical waves (reflected and transmitted) using the geometrical theory of diffraction. The results obtained by adding all the contributions are compared with those obtained by a modal approach. The variations of the pressure field versus the frequency at a given observation point (monostatic case), and the azimuthal angle for a given frequency are plotted and show good agreement with the curves obtained by the modal approach.

Zusammenfassung

Es wird eine Untersuchung und numerische Bestimmung der Eigenschaften aller Wellen durchgeführt, die zu dem von einem eingebetteten fluiden Zylinder hervorgerufenen Streufeld beitragen, d.h. der Umfangswellen (innere Oberflächenwellen und Kriechwellen) sowie der geometrischen Wellen (reflektierte und transmittierte Wellen). Das Ergebnis der Überlagerung dieser Beiträge nach den Prinzipien der geometrischen Beugungstheorie wird verglichen mit den Werten, die nach der klassischen Modentheorie erhalten wurden. Die Frequenzkurven bei festem Azimuth und die Abhängigkeit vom Azimuthwinkel bei konstanter Frequenz zeigen im Vergleich mit den entsprechenden, mit der Modentheorie erhaltenen Kurven die hohe Leistungsfähigkeit des benutzten Modells.

Résumé

On analyse et détermine numériquement les caractéristiques de chacune des ondes contribuant au champ de pression diffusé par un cylindre fluide immergé, c'est-à-dire les ondes circonférentielles (ondes de surface internes et ondes rampantes) ainsi que les ondes dites géométriques (réfléchie et transmises). Le résultat de la superposition de ces contributions suivant les principes de la Théorie Géométrique de la Diffraction est comparé avec les valeurs obtenues par la méthode modale classique. Des courbes tracées en fonction de la fréquence à azimut fixe, et en fonction de l'angle azimutal ä fréquence constante, montrent la bonne qualité du modèle utilisé lorsque ces courbes sont comparées avec celles obtenues par l'approche modale.
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Document Type: Research Article

Publication date: January 1, 1994

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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