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Low-pass Filters for Removing Numerical Noises of Boussinesq Equation Model  

Chun, In-Sik (Department of Civil and Engineering, Konkuk University)
Sim, Jae-Seol (Coastal and Harbor Engineering Division, Korea Ocean Research and Development Institute)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.19, no.5, 2007 , pp. 418-428 More about this Journal
Abstract
In the calculation of wave propagation by Boussinesq equation model, it is very common to experience numerical noises generated from nonlinear interaction and breaking wave occurrence, and the numerical solution is rapidly diverged unless the noises are properly controlled. A comparative study was here undertaken for the characteristics of three different lowpass filters (FFT filter, Gaussian filter and Shapiro filter) which are all designed to be applied to the interim results of numerical calculation. The numerical results obtained with application of respective filter techniques were compared with the results of an existing hydraulic experiment for the aspects of noise suppression, conservation of main signal and altering time. The results show that the Shapiro filter can be best applied with optimal choices of its element number, pass number and filtering tune interval. The combination of the number of filter element off, pass number of 50 or less, and application interval of 100 to 200 time steps generally showed good performance in both accuracy and efficiency of the numerical calculation.
Keywords
Boussinesq equation; numerical noise; low-pass filter; Shapiro filter; Gaussian filter;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Goda, Y. (1985). Random Seas and Design of Maritime Structures, University of Tokyo Press, 68-87
2 Jain, A.K. (1989). Fundamentals of digital image processing, Prentice Hall
3 전인식, 성상봉, 김귀동, 심재설 (2005). Boussinesq 방정식을 이용한 수중 천퇴에서의 파랑변형 및 파랑류 계산, 한국해안 .해양공학회지, 17(3), 202-212
4 Shapiro, R. (1970). Smoothing, filtering, and boundary effects, Review of geophysics and space physics, 8(2), 359-386   DOI
5 Castleman, K.R. (1996). Digital image processing, Prentice Hall
6 Gonzalez, R.C. and Wintz, P. (1987). Digital Image processing, Addison-Wesley
7 Nwogu, O. (1993). Alternative form of Boussinesq equation for nearshore wave propagation, J. Wtrway., Port, Coast. and Oc. Engrg., ASCE, 119(6), 618-638   DOI   ScienceOn
8 Kennedy, A.B, Chen, Q., Kirby, J.T. and Dalrymple, R.A. (2000). Boussinesq modelling of wave transformation, breaking, and runup. I: 1D., J. Wtrwy, Port, Coast. and Oc. Engrg., 126, 39-47   DOI   ScienceOn
9 Hansen, J.B. and Svendsen, I.A. (1979). Regular waves in shoaling water experimental data, Institute of Hydrodynamics and Hydraulic Engineering, Technical University of Denmark
10 전인식, 김귀동, 심재설 (2006). 수중 천퇴에서의 쇄파거동 예측을 위한 Boussinesq 방정식 모델의 적용, 한국해안.해양공학회지, 18(2), 154-165   과학기술학회마을