수중 산란의 수치적 해석기법

  • Published : 1998.04.01

Abstract

지난 30여년간 무한 영역에 놓인 유한한 뮬체에 의한 산란을 해석하기 위하여 여러가지 수치적 해석기법이 개발되었다. 이것은 소나, 잠수함 등의 수중 음향을 비롯해서 지진학, 초음파 비파괴검사 그리고 초음파 의료진단 등의 광범위한 영역에서 응용되고 있기 때문에 많은 연구가 있었다. 본 글에서는 먼저 무한 영역에서의 산란문제에 대한 기본 원리를 설명하고 지금까지 연구된 수치적 해석 기법들을 정리해서 소개하여 소음진동 분야에 종사하는 분들에게 응용할 수 있는 기회를 제공하고자 한다.

Keywords

References

  1. Boundary Methods in Engineering Science P.K. Banerjee;R. Butter field
  2. Boundary Element Techniques C.A. Brebbia;J.C.F. Telles;L.C. Wrobel
  3. Proc. R. Soc. London. Series v.A323 The Application of Integral Equation Methods to the Numerical Solution of Some Exterior Boundary Value Problems A.J. Burton;G.F. Miller
  4. J. Acoust. Soc. Am. v.44 no.1 Improved Integral Formulation for Acoustic Radiation Problems H.A. Schenck
  5. J. Acoust. Soc. Am. v.45 New Formulation of Acoustic Scattering P.C. Waterman
  6. Acoustic, Electromagnetic and Elastic Wave Scattering-Focused on T-matrix Approach V.K. Varadan(ed.);V.V. Varadan(ed.)
  7. J. Acoust. Soc. Am. v.71 no.1 Computation of Rigid Body Scattering by Prolate Spheroids using the T-matrix Approach V.K. Varadan;V.V. Varadan;L.R. Dragonette;L. Flax
  8. J. Wave Material Interaction v.1 A Hybrid FEM T-matrix Technique for the Analysis of Acoustic Wave Scattering by Elastic Shells of Revolution V.V. Varadan;K. Eswaran;V.K. Varadan
  9. J. Num. Meth. In Eng. v.13 Fluid-Structure Dynamic InterAction and Wave Force : An Introduction to Numerical Treatment O.C. Zienkiewicz;P. Bettess
  10. Int. J. Num. Meth. in Eng. v.19 Finite Elements for the Dynamic Analysis of Fluid-Solid Systems E.L. Wilson;M. Khalvati
  11. Int. J. Num. Meth. in Eng. v.11 Infinite Elements P. Bettess
  12. Engineering Comput. v.2 An Infinite Element fro Analysis of Transient Fluid-Structure Interactions L.G. Olson;K.-J. Bathe
  13. Math. Comput. v.31 no.139 Absorbing Boundary Conditions for the Numerical Simulation of Waves B. Engquist;A. Majda
  14. SIAM J. Appl. Math. v.42 no.2 Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions A. Bayliss;M. Gunzburger;Eli Turkel
  15. Wave Motion v.12 Non-reflecting Boundary Conditions for Elastic Waves D. Givoli;J.B. Keller
  16. Comp. Methods in Appl. Mech. Eng. v.76 A Finite Element Method for Large Domains D. Givoli;J.B. Keller
  17. Numerical Methods for Problems in Infinie Domains D. Givoli
  18. Comp. Meth. Appl. Mech. Eng. v.97 Analysis of Continuous Formulations Underlying the Computation of Timeharmonic Acoustics in Exterior Domains I. Harari;T.J. Hughes
  19. J. of Eng. Mech. Div. v.95 Finite Dynamic Model for Infinite Media J. Lysmer;R.L. Kuhlemeyer
  20. Computer Meth. Appl. Mech. Eng. v.134 no.1;2 Finite Element Modeling of Scattering Problems Involving Infinite Domains using Drilling Degrees of Freedom J. Kim;V.V. Varadan;V.K. Varadan
  21. Int. J. Num. Meth. Eng. v.29 Effects of Spatial Discretization on Dispersion and Spurious Oscillations in Elastic Wave Propagation L. Jiang;R.J. Rogers