• 제목/요약/키워드: wave equation analysis

검색결과 586건 처리시간 0.024초

Normal Mode Approach to the Stability Analysis of Rossby-Haurwitz Wave

  • Jeong, Hanbyeol;Cheong, Hyeong Bin
    • 한국지구과학회지
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    • 제38권3호
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    • pp.173-181
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    • 2017
  • The stability of the steady Rossby-Haurwitz wave (R-H wave) in the nondivergent barotropic model (NBM) on the sphere was investigated with the normal mode method. The linearized NBM equation with respect to the R-H wave was formulated into the eigenvalue-eigenvector problem consisting of the huge sparse matrix by expanding the variables with the spherical harmonic functions. It was shown that the definite threshold R-H wave amplitude for instability could be obtained by the normal mode method. It was revealed that some unstable modes were stationary, which tend to amplify without the time change of the spatial structure. The maximum growth rate of the most unstable mode turned out to be in almost linear proportion to the R-H wave amplitude. As a whole, the growth rate of the unstable mode was found to increase with the zonal- and total-wavenumber. The most unstable mode turned out to consist of more-than-one zonal wavenumber, and in some cases, the mode exhibited a discontinuity over the local domain of weak or vanishing flow. The normal mode method developed here could be readily extended to the basic state comprised of multiple zonalwavenumber components as far as the same total wavenumber is given.

Nonlinear Wave Forces on an Offshore Wind Turbine Foundation in Shallow Waters

  • Choi, Sung-Jin;Lee, Kwang-Ho;Hong, Keyyoung;Shin, Seong-Ho;Gudmestad, O.T.
    • International Journal of Ocean System Engineering
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    • 제3권2호
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    • pp.68-76
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    • 2013
  • In this study, a 3D numerical model was used to predict nonlinear wave forces on a cylindrical pile installed in a shallow water region. The model was based on solving the viscous and incompressible Navier-Stokes equations for a two-phase flow (water and air) model and the volume of fluid method for treating the free surface of water. A new application was developed based on the cut-cell method to allow easy installation of complicated obstacles (e.g., bottom geometry and cylindrical pile) in a computational domain. Free-surface elevation, water particle velocities, and inline wave forces were calculated, and the results show good agreement with experimental data obtained by the Danish Hydraulic Institute. The simulation results revealed that the proposed model can, without the use of empirical formulas (i.e., Morison equation) and additional wave analysis models, reliably predict non-linear wave forces on an offshore wind turbine foundation installed in a shallow water region.

Optimal design of floating substructures for spar-type wind turbine systems

  • Choi, Ejae;Han, Changwan;Kim, Hanjong;Park, Seonghun
    • Wind and Structures
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    • 제18권3호
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    • pp.253-265
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    • 2014
  • The platform and floating structure of spar type offshore wind turbine systems should be designed in order for the 6-DOF motions to be minimized, considering diverse loading environments such as the ocean wave, wind, and current conditions. The objective of this study is to optimally design the platform and substructure of a 3MW spar type wind turbine system with the maximum postural stability in 6-DOF motions as well as the minimum material cost. Therefore, design variables of the platform and substructure were first determined and then optimized by a hydrodynamic analysis. For the hydrodynamic analysis, the body weight of the system was considered, and the ocean wave conditions were quantified to the wave forces using the Morison's equation. Moreover, the minimal number of computation analysis models was generated by the Design of Experiments (DOE), and the design variables of the platform and substructure were finally optimized by using a genetic algorithm with a neural network approximation.

A study on the optimal configuration of harbor structure under the combined loads

  • Cho, Kyu-Nam
    • Structural Engineering and Mechanics
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    • 제32권3호
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    • pp.371-382
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    • 2009
  • Response of harbor structure to environmental loads such as wave load, impact load, ship's contacting load, is a fundamental factor in designing of the structure's optimal configuration. In this paper, typical environmental loads against coastal structures are investigated for designing of the optimal harbor structure. Loads to be considered here are wave load, impact load and contacting load due to ship mooring. Statistical analysis for several harbor structure types under the corresponding loads is carried out, followed by investigation of effect of individual environmental load. Based on these, the optimal configuration for the harbor structure is obtained after considerable engineering process. Estimation of contacting load of the ship is suggested using effective energy concepts for the load, and analysis of structural behavior is done for the optimal designing of the structure in the particular load. A guideline for the design process of the harbor structure is established, and safety of the structure is examined by proposed scheme. For verification of the analytical approach, various steel-piled coastal structures and caissons are chosen and relevant structural analyses are carried out using the Finite Element Methods combined with MIDAS/GTS and ANSYS code. It is found using the Morison equation that impact load cannot be a major load in the typical harbor structure compared with the original wave load, and that configuration shape of the structure may play an important role in consideration of the response criteria.

강수계열의 상태분류에 의한 Markov 연쇄 모의발생모형 (Markov Chain Model for Synthetic Generation by Classification of Daily Precipitaion Amount into Multi-State)

  • 김주환;박찬영
    • 물과 미래
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    • 제29권6호
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    • pp.155-166
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    • 1996
  • 개수로내의 검변 및 급변 부정류 해석을 위해서 dynamic wave식을 기본방정식으로 하고 이를 불연속 보간함수와 upstream weighting 을 도입한 Petrov-Galerkin 기법에 의해 해석하는 유한요소모형을 개발하였다. 매트릭스 안정성 해석 결과 Petrov-Galerkin기법은 단파장에서의 선택적 감쇠능력과 위상오차에 있어 우수한 것으로 나타났다. 반면에 Preissmann기법은 단파장에서의 선택적 감쇠능력과 위상오차에 있어 열등한 것으로 나타났고, Bubnov-Galerkin 기법은 비감쇠특성을 나타내고 있어 단파장 영역에서 발산해를 일으키는 주요원인임을 확인할 수 있었다. Petrov-Galerkin 방법은 Courant수의 넓은 범위에서 높은 주파수를 가진 진행파에 대한 선택적인 감쇠와 작은 Courant 수의 범위에서 양호한 위상정도를 가지는 이상적인 조합을 나타내고 있어 점변 및 급변 부정류 해석에 있어 이상적인 기법으로 활용될 수 있을 것으로 판단되었다.

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Surface wave propagation in an initially stressed heterogeneous medium having a sandy layer and a point source

  • Manna, Santanu;Misra, J.C.;Kundu, Santimoy;Gupta, Shishir
    • Geomechanics and Engineering
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    • 제16권2호
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    • pp.169-176
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    • 2018
  • An attempt has been made here to study the propagation of SH-type surface waves in an elastic medium, which is initially stressed and heterogeneous and has a point source inside the medium. The upper portion of the composite medium is a sandy layer. It is situated on an initially stressed heterogeneous half-space, whose density, rigidity and internal friction are function of depth. The analysis has been carried out by using Fourier transform and Green's function approach. The phase velocity has been investigated for several particular situations. It has been shown that the results of the study agree with those the case of Love wave propagation in a homogeneous medium in the absence of the sandy layer, when the initial stress is absent. In order to illustrate the validity of the analysis presented here, the derived analytical expression has been computed numerically, by considering an illustrative example and the variances of the concerned physical variables have been presented graphically. It is observed that the velocity of shear wave is amply influenced by the initial stress and heterogeneity parameters and the presence of the sandy layer. The study has an important bearing on investigations of different problems in the earth's interior and also in seismological studies.

직교이방성 함유체를 포함하는 등방성 기지에서의 탄성파 산란 수치해석 모델 (Numerical Modeling of Elastic Wave Scattering in an Isotropic Medium Containing an Orthotropic Inclusion)

  • 이정기
    • 비파괴검사학회지
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    • 제21권1호
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    • pp.69-79
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    • 2001
  • 다수의 이방성 함유체를 포함하는 등방성 무한고체에서 이들 이방성 함유체에 의한 탄성파의 산란문제 해석을 효과적으로 수행할 수 있는 새로은 수치해석 방법으로 체적 적분방정식법을 제시하였다. 체적 적분방정식법에서는 등방성 무한고체에서의 Green 함수만 구할 수 있으면 이방성 함유체에서의 Green 함수를 구하지 않고서도 탄성파 산란문제 해석이 가능해지는 장점이 있다. 이 방법은 임의의 형상을 갖는 다수의 이방성 함유체가 포함된 일반적인 탄성동역학 문제 해석에도 적용이 가능하다. 한 개의 직교이방성 함유체가 등방성 무한기지에 포함된 무한고체에서 직교이방성 함유체에 의한 종과(P파) 및 횡파(SV파) 산란문제 해석을 통하여, 체적 적분방정식법이 일반적인 이방성 함유체가 포함된 무한고체에서의 탄성파 산란문제 해석에 있어 정확하고 효과적인 수치해석 방법임을 입증하였다.

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공진주 실험의 이론적 모델링에 의한 자료분석 및 해석기법의 제안 (Data Reduction and Analysis Technique for the Resonant Column Testing by Its Theoretical Modeling)

  • 조성호;황선근;강태호;권병성
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2003년도 봄 학술발표회 논문집
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    • pp.291-298
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    • 2003
  • The resonant column testing is a laboratory testing method to determine the shear modulus and the material damping factor of soils. The method has been widely used for many applications and its importance has been increased. Since the establishment of the testing method in 1963, the low-technology electronic devices for testing and data acquisition have limited the measurement to the amplitude of the linear spectrum. The limitations of the testing method were also attributed to the assumption of the linear-elastic material in the theory of the resonant column testing and to the use of the wave equation for the dynamic response of the specimen. For the better theoretical formulation of the resonant column testing, this study derived the equation of motion and provided its solution. This study also proposed the improved data reduction and analysis method for the resonant column testing, based on the advanced data acquisition system and the proposed theoretical solution for the resonant column testing system. For the verification of the proposed data reduction and analysis method, the numerical simulation of the resonant column testing was performed by the finite element analysis. Also, a series of resonant column testing were peformed for Joomunjin sand, which verified the feasibility, of the proposed method and showed the limitations of the conventional data reduction and analysis method.

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The Effects of Thai Consumers' Attitudes of Korean-Wave on the Visit Intentions of Korean Restaurants-Focusing on the Mediation Effects of Perceived Consumption Value of Restaurant

  • Anuntapong, Napol;Kim, Hyung-Jun
    • 아태비즈니스연구
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    • 제12권4호
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    • pp.1-12
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    • 2021
  • Purpose - This study is an empirical study on the relationship of Thai consumers' attitude toward Korean Wave with the visit intention of Korean restaurants and a mediation effect of consumption value of Korean restaurants. Design/Methodology/Approach - Data were collected using a structured questionnaire of 245 Thai consumers and the hypotheses presented were verified by regression analysis and structural equation models. Findings - As a result of the empirical analysis, it was found that the higher the attractiveness and favorableness of Thai consumers for K-Wave, the higher the intention to visit Korean restaurants, and the Korean Wave attitude have a positive effect on the functional and symbolic values of Korean restaurants. In particular, the important result that can be presented in this study is that the better the attitude toward K-Wave, the higher the consumption value (functional/symbolic value) of Korean restaurants and the symbolic value plays a significant mediating effect on the relationship of the attitude of K-Wave and visiting intention, while the effect of functional value is not verified. Research Implication or Originality - These results means that in order to lead Thai consumers to a Korean restaurant using K-Wave, a strategy to make Thai ones perceive symbolic value of a Korean restaurant higher would be more effective. The main strategic implication of this study is that a high-end positioning strategy with a high symbolism, which make Korean restaurant as a suitable place as a means to show off one's value (or self) or as a means to show off one's social status (or role) to Thai consumers, will be relatively effective.

랜덤 선로상의 광 국재현상에 관한 해석(1) : 해의 국재성에 대한 이론적 고찰 (Theoretical analysis of the lightwave localization phenomenon on the random transmission line (part 1) : localization characteristics of the solution of propagation equation)

  • 최영규
    • 한국광학회지
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    • 제14권4호
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    • pp.429-433
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    • 2003
  • 전파정수가 랜덤하게 분포하는 선로 상에서 파동함수의 해의 성질을 고찰함으로써 랜덤한 매질 내의 파동의 국재현상에 대한 이론적 해석을 시도하였다 파동의 국재는 함수의 해가 증대에서 감쇠로 전환하는 과정에서 발생하므로, 먼저 파동의 증대가 감쇠로 전환되는 과정을 이론적으로 규명하기 위하여 2차 파동방정식을 Bragg조건 등을 이용하여 근사적으로 1차 슐뢰딩거의 방정식의 형태로 유도하였다. 그리고 이 방정식이 취할 수 있는 여러 가지 해의 성질과 그 해가 성립하기 위한 조건에 대하여 고찰하였으며, 파동방정식의 해의 국재성과 전파정수의 변동에 대한 관계에 대하여 몇 가지 조건을 조사하였다. 지수형의 해에서 유전율이 $\varepsilon$=(0,0,$\varepsilon$$_{0}$)인 경우 $\varepsilon$$_{0}$는 파동의 위상에 관여하여 국재현상을 일으키는 요소가 된다는 것을 확인하였다.