Three-dimensional wave scattering by a fixed cylindrical inclusion submerged in a fluid medium |
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| Affiliation: | 1. Department of Physics, Atomic Energy Commission, P. O. Box 6091, Damascus, Syria;2. Department of Chemistry, Atomic Energy Commission, P. O. Box 6091, Damascus, Syria;3. Higher Institute for Laser Research and Applications, Damascus University, Syria;1. Sorbonne Université, CNRS, Institut Jean Le Rond d''Alembert, 4 place Jussieu, 75005 Paris, France;2. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India;1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Sq. 4, 125047 Moscow, Russia;2. Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Bldg 3, 143026 Moscow, Russia;3. International School Twente, Het Stedelijk Lyceum, Tiemeister 20, 7541WG Enschede, The Netherlands;4. Department of Applied Mathematics and MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;5. Complex Photonic Systems group (COPS) and MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;1. CFD Laboratory, School of Engineering, University of Glasgow, Glasgow, G12 8QQ, Scotland, UK;2. National Key Laboratory of Rotorcraft Aeromechanics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | This paper presents the solution for a fixed cylindrical irregular cavity of infinite length submerged in a homogeneous fluid medium, and subjected to dilatational point sources placed at some point in the fluid. The solution is first computed for a wide range of frequencies and wavenumbers, which are then used to obtain time-series by means of (fast) inverse Fourier transforms into space–time.The method and the expressions presented are implemented and validated by applying them to a fixed cylindrical circular cavity submerged in an infinite homogeneous fluid medium subjected to a point pressure source for which the solution is calculated in closed form.The boundary elements method is then used to evaluate the wave-field elicited by a point pressure source in the presence of fixed rigid cylindrical cavities, with different cross-sections, submerged in an unbounded fluid medium and in a half-space. Simulation analyses with this idealized model are then used to study the patterns of wave propagation in the vicinity of these inclusions. The amplitude of the wavefield in the frequency vs axial-wavenumber domain is presented, allowing the recognition, identification, and physical interpretation of the variation of the wavefield. |
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