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Solving 2D acoustic ducts and membranes by using FDTD method
language: English
received 28.08.2008, published 27.11.2008
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ABSTRACT
The paper describes an application of the FDTD (Finite Difference Time Domain) method, combined with the discrete Fourier transform (DFT) for solving Eigenvalue problems in acoustical waveguides and membranes of arbitrary cross-section. The governing acoustic equations are discretised in a two-dimensional domain, in which boundary conditions are defined over pressure or velocity. At cut-off, the cross-section of a waveguide acts as a two dimensional resonator. Therefore, the spectral response gives the cut-off frequencies of the waveguide or the resonant frequencies of the membrane. Once each frequency is known, the application of the discrete Fourier transform also provides the spatial distribution of the pressure-velocity modes in the cross-section of the waveguide or membrane.
Keywords: finite differences in time domain, Euler equations, waveguide, membrane.
13 pages, 4 figures
Сitation: E. A. Navarro, J. Segura, R. Sanchis, A. Soriano. Solving 2D acoustic ducts and membranes by using FDTD method. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2008, 18.
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Enrique A. Navarro was born in Sueca, Spain, in 1965. He received the Licenciado and the Ph.D. degrees in physics from the University of Valencia, Valencia, Spain, in 1988 and 1992, respectively. From 1988 to 1989 he was with Grupo de Mecánica del Vuelo S.A. (GMV S.A.), Madrid, Spain. He joined the Department of Applied Physics at the University of Valencia in 1989 where he is presently a Professor. In 1994 and 1995 he was with the Communications Research Laboratory, McMaster University, Canada. His current research interests include all aspects of numerical methods in electromagnetics, antennas and propagation. Dr. Navarro was the recipient of a 1993 NATO Fellowship. e-mail: enrique.navarro(at)uv.es |
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Jaume Segura was born in Algemesí (Valencia), Spain, in 1973. He received the Licenciado degree in physics from the University of Valencia, Valencia, Spain, in 1998. In 2003 he received his PhD degree in Applied Physics at the University of Valencia. e-mail: jaume.segura(at)uv.es |
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Raül Sanchis Francés was born in Banyeres de Mariola (Alacant), Spain, on February 6, 1976. He received the Llicenciat degree in physics and Diploma d’Estudis Avançats degree in Electronic Engineering from the University of Valencia, Spain, in 1999 and 2001, respectively, and is currently working toward the Ph.D. degree in computer science at the same institution. From 2000 to 2003 he was a Research Assistant in the Microwave Heating Department of Radiación y Microondas, S.A. in collaboration with the Microwave Heating Group of the Polythecnic University of Valencia where he was currently involved in the development of microwave heating components and applicators for industrial applications. From 2005 to 2007 he was Assistant Professor at the Applied Physics Department of the Polythecnic University of Catalonia, Spain. His current research interests include the areas of computer-aided techniques (FDTD) for the analysis of acoustic and photonic crystals, acoustic lens and musical instruments. |
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Antonio Soriano was born in Benaguasil (Valencia), Spain, in 1978. In 2001 he received the licenciado degree in physics, and the electronics engineering degree in 2005 from the University of Valencia. In 2007 he received the PhD in Computer Science from the University of Valencia. He was with the Applied Physics Departments in the Universities of Granada and Valencia from 2001 to 2004, and from 2004 to 2007 respectively. In 2007 he joined the Medical Physics Group at the Particle Physics Institute (IFIC) of the Spanish National Research Council (CSIC). His research interest is focused on numerical modelling of electromagentic wave-propagation using the FDTD technique. |