Solving Acoustic Radiation and Scattering Based on Coiflet

Jian Ping Xuan; Ru Jie Yu

doi:10.4028/www.scientific.net/AMM.184-185.469

Paper Titles

Research on Windage Power Loss of Spur Gear Base on CFD
p.450

Simulation of Sound Generation by Flow over a Cavity with the Lattice Boltzmann Method
p.456

Simulation on Stress Distribution of Drill Pipe’s Surface Initial Crack
p.460

Simulation Study of the Effect of Hydraulic Hose Parameters on Hydraulic Impact
p.465

Solving Acoustic Radiation and Scattering Based on Coiflet
p.469

Steady CFD Analysis on Gas Turbine Stage Cascade Based on Mixing Plane Model
p.473

Strategy and Application of Modeling and NC Machining for Rotary Parts of Complex Curved Surface
p.477

Stress and Deformation Mechanics Model of Sensing Structure in Micro-Machined Capacitive SOI Accelerometer
p.482

Stress Concentrations in Interference Fit Joints with Chamfered Hubs
p.489

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 184-185Solving Acoustic Radiation and Scattering Based on...

Solving Acoustic Radiation and Scattering Based on Coiflet

Abstract:

In this paper, the acoustic Helmholtz boundary integral equation is solved using Coiflet scaling functions with interpolation approximation property. The scaling functions are utilized as base and test functions in Galerkin method and the expanded coefficients are the values of the function in sampling points, so the number of numerical integral is reduced. Two numerical examples are given and the calculation results agree well with the theoretical results, which show the high accuracy of the estimation and demonstrate validity and applicability of the method.

You might also be interested in these eBooks

Frontiers of Mechanical Engineering and Materials Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 184-185)

Pages:

469-472

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.184-185.469

Citation:

Cite this paper

Online since:

June 2012

Authors:

Jian Ping Xuan, Ru Jie Yu

Keywords:

Coiflet, Galerkin Method, Helmholtz Equation, Radiation, Scaling Function, Scattering

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] I. K.P. Soman K.I. Ramachandran,Insyghts Into Wavelets From Theory to Practice, PHI , New Delhi , PA, 2004.

Google Scholar

[2] G. Beylkin, R. R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms I, Comm. Pure, Appl. Math. 44(1991) 141–183.

DOI: 10.1002/cpa.3160440202

Google Scholar

[3] I. Daubechies, Orthonormal bases of compactly supported wavelets II, Variations on a theme, SIAM J. Math.Anal. 24(1993) 499–519.

DOI: 10.1137/0524031

Google Scholar

[4] L. Winger, A. Venetsanopoulos, Biorthogonal nearly coiflet wavelets for image compression, Signal. Process-Image. 16(9)(2001) 859-869.

DOI: 10.1016/s0923-5965(00)00047-3

Google Scholar

[5] J. Tian, The mathematical theory and applications of biorthogonal Coifman wavelet systems, Ph.D. Dissertation, Rice University, Houston,TX, Feb. 1996.

Google Scholar

[6] D. Wei, and A.C. Bovik, Generalized Coiflets with Nonzero-Centered Vanishing Moments, IEEE T. CIRCUITS-II. 45(8)(1998) 988-1001.

DOI: 10.1109/82.718808

Google Scholar

[7] G.W. Pan, Ke Wang, and D.Cochran. Coifman Wavelets in 3-D Scattering From Very Rough Random Surfaces. IEEE T. Antenn. Propag. 52(11)(2004) 3096-3103.

DOI: 10.1109/tap.2004.835127

Google Scholar

[8] K. Maleknejad, T. Lotfi, Y. Rostami, Numerical computational method in solving Fredholm integral equations of the second kind by using Coifman wavelet, Appl. Math. Comput. 186(2007) 212–218.

DOI: 10.1016/j.amc.2006.06.127

Google Scholar

[9] L.H. Wen , J.M. Zhang, J.C. Sun, On the use of wavelet transform for the integral-equation solution of acoustic radiation and scattering, Acta Acust. 26(4)(2001) 312–318.

Google Scholar

[10] Hesham, M., Wavelet-based solution of integral equations for acoustic scattering, Can.Acoust. 34(1)(2006)19-27

Google Scholar