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A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces
Joint Authors
Tsangaris, Sokrates
Papageorgakopoulos, Johnny
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a numerical methodology for evaluating wave propagation phenomena in two dimensions in the time domain with focus on the linear acoustic second-order wave equation.
An outline of the higher-order compact discretization schemes followed by the time discretization technique is first presented.
The method is completed with the addition of spatial filtering based on the same compact schemes' principles.
The important role of boundary conditions is subsequently addressed.
Two popular ways to truncate the computational domain in the near field are presented and compared here: first the formulation of “absorbing conditions” in the form of partial differential equations especially for the origin and second the construction of an absorbing layer surrounding the domain, in which waves (after they have exited the domain) are attenuated and decayed exponentially.
Subsequently, the method is assessed by recalling three benchmark problems.
In the first where a Gaussian pulse is generated and propagated in a 2D rectangular domain, the accuracy and absorbability of the boundary conditions are compared.
In the second, a similar situation is investigated but under curvilinear coordinates and under the presence of a solid body which scatters the pulse.
Finally the sound field inducted by the flow of corotating vortex pair is calculated and compared with the corresponding analytical solution.
American Psychological Association (APA)
Papageorgakopoulos, Johnny& Tsangaris, Sokrates. 2011. A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces. ISRN Mechanical Engineering،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-451812
Modern Language Association (MLA)
Papageorgakopoulos, Johnny& Tsangaris, Sokrates. A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces. ISRN Mechanical Engineering No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-451812
American Medical Association (AMA)
Papageorgakopoulos, Johnny& Tsangaris, Sokrates. A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces. ISRN Mechanical Engineering. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-451812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451812