Numerical modeling of underwater acoustic wave using Differential Quadrature Method

Document Type : Original Article

Authors

1 1. Department of Physical Oceanography, Faculty of Marine Science, Khorramshahr University of Marine Science and Technology, Khorramshahr, Iran

2 2. Iranian Institute for Oceanography and Atmospheric Science, Tehran, Iran

Abstract

In this paper underwater acoustic wave propagation is studied numerically by Differential Quadrature method. Numerical methods are different with respect to accuracy, computer costs and practical flexibility. In this study Differential Quadrature (DQ) method is applied for numerical solution of underwater acoustic wave for first time. Two experimental cases are used to validate the two-dimensional wave model, first the numerical results are verified by analytical solution and the second one showed the applicability of current method in complex domain. Comparisons demonstrate the efficiency, accuracy and robustness of the Differential Quadrature method for acoustic wave simulation.

Keywords


  1. Jensen, W.Kuperman, M.Porter & H.Schmidt. 2011.Computational Ocean Acoustics. AIP Press. New York.
  2. Christian Vanhille and Cleofe Campos-Pozuelo,2000, A time-domain numerical algorithm for the analysis of nonlinear standing acoustic waves, AIP Conference Proceedings 524, 177 (2000); https://doi.org/10.1063/1.1309199.
  3. Wilson Eberle; Zhiliang Zhang; Yan-Fei Liu; Paresh C. Sen,2009, A Practical Switching Loss Model for Buck Voltage Regulators, IEEE Transactions on Power Electronics ,24(3).
  4. E. G. A.. Godinho. L.. Santiago. J.A.F.. Pereira. A. and Dors. C.. 2011. Efficient numerical models for the prediction of acoustic wave propagation in the vicinity of a wedge coastal region. Engineering Analysis with Boundary Elements. 35(6): 855-867.
  5. J.E. and Chin-Bing. S.A.. 1988. A finite element model for ocean acoustic propagation. Mathematical and Computer Modelling. 11(0): 70-74.
  6. Kieswetter, Z. Schwartz, D.D. Dean, B.D. Boyan, 1996, The role of Implant Surface Characteristics In the Healing of Bone.
  7. Crit Rev Oral Biol Med. 7(4):329-45. doi: 10.1177/10454411960070040301.
  8. Bellman, B.G. Kashef, J. Casti
  9. Differential Quadrature: A Thechnique for the rapid solution of non linear partial differential equations. Comp. Phys., 10 (40) (1972), p. 52
  10. C. . 2000. Differential Quadrature and Its Applications in Engineering. Springer-Verlag. Berlin.
  11. Wu, Y., Shu, C. Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli. Computational Mechanics 29, 477–485 (2002). https://doi.org/10.1007/s00466-002-0357-4
  12. C. and Fan. L. F..2001. A New Discretization Method and Its Application to Solve Incompressible Navier-Stokes Equation. Comput. Mech.. vol. 27. pp. 292–301.
  13. Wei Chen, Vijay Panchang, Zeki Demirbilek, 2001, On the modeling of wave–current interaction using the elliptic mild-slope wave equation, Ocean Engineering 32(17-18):2135-2164.
  14. Joe, H. and Xu, J. (1996) The Estimation Method of Inference Functions for Margins for Multivariate Models. Technical Report No. 166, Department of Statistics, University of British Columbia, Vancouver.
  15. V.G.. Pearce. B.R.. Wei. G. and Cushman-Roisin. B.. 1991. Solution of the mild-slope wave problem by iteration. Applied Ocean Research. 13(4): 187-199.