• Title/Summary/Keyword: Wave Approximation

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Effects of Tsunami Waveform on Energy Dissipation of Aquatic Vegetation (쓰나미 파형이 수중식생의 에너지소산에 미치는 영향)

  • Lee, Woo-Dong;Park, Jong-Ryul;Jeon, Ho-Seong;Hur, Dong-Soo
    • Journal of Ocean Engineering and Technology
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    • v.31 no.2
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    • pp.121-129
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    • 2017
  • The present study numerically investigated the influence of the waveform distribution on the tsunami-vegetation interaction using a non-reflected wave generation system for various tsunami waveforms in a two-dimensional numerical wave tank. First, it was possible to determine the wave attenuation mechanism due to the tsunami-vegetation interaction from the spatial waveform, flow field, vorticity field, and wave height distribution. The combination of fluid resistance in the vegetation and a large gap and creates a vortex according to the flow velocity difference in and out of the vegetation zone. Thus, the energy of a tsunami was increasingly reduced, resulting in a gradual reduction in wave height. Compared to existing approximation theories, the double volumetric ratio of the waveform increased the reflection coefficient of the tsunami-vegetation interaction by 34%, while decreasing the transfer coefficient and energy attenuation coefficient by 25% and 13%, respectively. Therefore, the hydraulic characteristics of a tsunami is highly likely to be underestimated if the solitary wave of the approximation theory is applied for the tsunami.

Effects of Stem Wave on the Vertical Breakwater (해안구조물 전면의 Stem Wave 특성에 관한 연구)

  • 박효봉;윤한삼;류청로
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.10a
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    • pp.138-143
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    • 2001
  • Based on mild slope equation and parabolic approximation the forward diffraction of monochromatic waves by a straight breakwater are studied numerically. The characteristics and effects of stem wave along breakwater and the relations between the stem wave and incident wave angle are discussed.

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A Study on Stable Generation of Tsunami in Hydraulic/Numerical Wave Tank (수리/수치파동수조에서 안정적인 쓰나미 조파를 위한 고찰)

  • Lee, Woo-Dong;Park, Jong-Ryul;Jeon, Ho-Seong;Hur, Dong-Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.5
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    • pp.805-817
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    • 2016
  • This study considered the existing approximation theories of solitary wave for stable generation of it with different waveforms in a hydraulic/numerical wave tank for coping with the tsunami. Based on the approximation theory equations, two methods were proposed to estimate various waveforms of solitary wave. They estimate different waveforms and flow rates by applying waveform distribution factor and virtual depth factor with the original approximate expressions of solitary wave. Newly proposed estimation methods of solitary wave were applied in the wave generation of hydraulic/numerical wave tank. In the result, it was able to estimate the positional information signal of wave generator in the hydraulic wave tank and to find that the signal was very similar to an input signal of existing hydraulic model experiment. The waveform and velocity of solitary wave was applied to the numerical wave tank in order to generate wave, which enabled generate waveform of tsunami that was not reproduced with existing solitary wave approximation theory and found that the result had high conformity with existing experiment result. Therefore, it was able to validate and verify the two proposed estimation methods to generate stable tsunami in the hydraulic/numerical wave tank.

Wave-Front Error Reconstruction Algorithm Using Moving Least-Squares Approximation (이동 최소제곱 근사법을 이용한 파면오차 계산 알고리즘)

  • Yeon, Jeoung-Heum;Kang, Gum-Sil;Youn, Heong-Sik
    • Korean Journal of Optics and Photonics
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    • v.17 no.4
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    • pp.359-365
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    • 2006
  • Wave-front error(WFE) is the main parameter that determines the optical performance of the opto-mechanical system. In the development of opto-mechanics, WFE due to the main loading conditions are set to the important specifications. The deformation of the optical surface can be exactly calculated thanks to the evolution of numerical methods such as the finite element method(FEM). To calculate WFE from the deformation results of FEM, another approximation of the optical surface deformation is required. It needs to construct additional grid or element mesh. To construct additional mesh is troublesomeand leads to transformation error. In this work, the moving least-squares approximation is used to reconstruct wave front error It has the advantage of accurate approximation with only nodal data. There is no need to construct additional mesh for approximation. The proposed method is applied to the examples of GOCI scan mirror in various loading conditions. The validity is demonstrated through examples.

A Study on the Numerical Wave Propagation Properties of the Finite Difference-Time Domain(FD-TD) Method for EM Wave Problems (전자파 문제에 대한 시간영역-유한차분법의 수치파 전파모델의 성질에 관한 연구)

  • 김인석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1595-1611
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    • 1994
  • In this paper, the numerical wave propagation properties of the finite difference-time domain(FD-TD) method is investigated as a discrete model describing electromagnetic(EM) wave propagation phenomena. The leap-frog approximation of Maxwell's curl equations in time-space simulates EM wave propagation in terms of the numerical characteristic and the domain of dependence. A geometrical interpretation of the FD-TD numerical procedure is presented. The numerical dispersion error due to the leap-frog approximation and its dependence on the stability factor are illustrated. The FD-TD method using the leap-frog approximation is inherently a descriptive model. Thus, not only any physical picture about EM wave propagation phenomena can be drawn through this model, but also physical or engineering parameters in the frequency domain can be extracted from descriptive results. E-plane filter characteristics in the WR-28 rectangular waveguide and reflection property of an inductive iris in the WR-90 rectangluar waveguide extracted from simulation of the FD-TD model is included.

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Stability Improved Split-step Parabolic Equation Model

  • Kim, Tae-Hyun;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.3E
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    • pp.105-111
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    • 2002
  • The parabolic equation technique provides an excellent model to describe the wave phenomena when there exists a predominant direction of propagation. The model handles the square root wave number operator in paraxial direction. Realization of the pseudo-differential square root operator is the essential part of the parabolic equation method for its numerical accuracy. The wide-angled approximation of the operator is made based on the Pade series expansion, where the branch line rotation scheme can be combined with the original Pade approximation to stabilize its computational performance for complex modes. The Galerkin integration has been employed to discretize the depth-dependent operator. The benchmark tests involving the half-infinite space, the range independent and dependent environment will validate the implemented numerical model.

Wave Reflection from Porous Ocean Sediment With Depth Dependent Properties (깊이 방향의 변화가 있는 해저 퇴적물에서 반사 특성)

  • Lee, Keun-Hwa;Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.1E
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    • pp.1-7
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    • 2006
  • This study examines the reflection characteristic of a thin transition layer of the ocean bottom showing variability with respect to depth. In order to model the surficial sediment simply, we reduce the Biot model to the depth dependent wave equation for the pseudo fluid using the fluid approximation (weak frame approximation). From the reduced equation, the difference between the inherent frequency dependency of the reflection and the frequency dependency resulting from a thin transition layer is investigated. Using Tang's depth porosity profile model of the surficial sediment [D. Tang et al., IEEE J. Oceanic Eng., vol.27(3), 546-560(2002)], we numerically simulated the reflection loss and investigated the contribution from both frequency dependencies. In addition, the effects of different sediment type and varying depth structure of the sediment are discussed.

Performance Analysis of the reconstruction Algorithms in the Stripmap-mode SAR (Stripmap-mode SAR에서의 영상복원 알고리즘의 성능분석)

  • 박현복;김형주;최정희
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2000.11a
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    • pp.29-33
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    • 2000
  • The classical image reconstruction for stripmap SAR is based on the Fresnel approximation which utilizes deramping or chirp deconvolution in the synthetic aperture(slow-time) domain. Another approach in formulating stripmap SAR processing and imaging is based on the SAR wavefront reconsturction theory, and analysis of the SAR signal in the slow-time via the spherical wave Fourier decomposition of the radar radiation pattern. In this paper, we compare the Fresnel approximation and the wavefrong reconstruction methods using simulated stripmap SAR dada.

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Wave Transformation Model in the Parabolic Approximation (포물형 근사식에 의한 천해파 산정모델)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.3
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    • pp.134-142
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    • 1990
  • A wide-angle approximation in the parabolic equation method is presented to calculate wave transformation in the shallow water. The parabolic approximation to the mild-slope equation is obtain-ed by the use of a splitting matrix, which leads to a generalized equation in form. A numerical model based on a finite difference scheme is presented and computational results are provided to test the model against the laboratory measurements of circular and elliptical shoals. The numerical results are in good agreement with most of experimental data. Therefore it can be concluded that the model shows greater capability to reproduce the characteristics of waves in the refractive focus.

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An Algorithm for Classification of ST Shape using Reference ST set and Polynomial Approximation (레퍼런스 ST 셋과 다항식 근사를 이용한 ST 형상 분류 알고리즘)

  • Jeong, Gu-Young;Yu, Kee-Ho
    • Journal of Biomedical Engineering Research
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    • v.28 no.5
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    • pp.665-675
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    • 2007
  • The morphological change of ECG is the important diagnostic parameter to finding the malfunction of a heart. Generally ST segment deviation is concerned with myocardial abnormality. The aim of this study is to detect the change of ST in shape using a polynomial approximation method and the reference ST type. The developed algorithm consists of feature point detection, ST level detection and ST shape classification. The detection of QRS complex is accomplished using it's the morphological characteristics such as the steep slope and high amplitude. The developed algorithm detects the ST level change, and then classifies the ST shape type using the polynomial approximation. The algorithm finds the least squares curve for the data between S wave and T wave in ECG. This curve is used for the classification of the ST shapes. ST type is classified by comparing the slopes of the specified points between the reference ST set and the least square curve. Through the result from the developed algorithm, we can know when the ST level change occurs and what the ST shape type is.