• 한국해양공학회지
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• 제21권1호
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• pp.31-39
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• 2007

Recently, the nonlinear dynamic responses among waves, submarine pipeline and seabed have become a target of analyses for marine geotechnical and coastal engineers. Specifically, the velocity field around the submarine pipeline and the wave-induced responses of soil, such as stress and strain inside seabed, have been recognized as dominant factors in discussing the stability of submarine pipeline. The aim of this paper is to investigate nonlinear dynamic responses of soil in seabed, around submarine pipeline, under wave loading. In order to examine wave-induced soil responses, first, the calculation is conducted in the whole domain, including wave field and the seabed, using the VOF-FDM method. Then, velocities and pressures, which are obtained on the boundary between the wave field and the seabed, are used as the boundary condition to compute the wave-induced stress and strain inside seabed, using the poro-elastic FEM model, which is based on the approximation of the Biot's equations. Based on the numerical results, the characteristics of wave-induced soil responses around submarine pipeline are investigated, in detail, inrelation to relative separate distance of the submarine pipeline from seabed. Also, the velocity field around the submarine pipeline is discussed.

• 한국해안해양공학회지
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• 제19권5호
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• pp.484-491
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• 2007

규칙파와 수면아래 잠긴 수평판 사이의 비선형 상호작용을 규명하기 위하여 수치파동수조를 이용하여 수치 실험을 수행하였다. 수치모델로 비선형 포텐셜 이론을 근거로 한 고차 경계요소법과 Navier Stokes 방정식과 엄밀한 자유표면 경계조건식을 푸는 CADMAS-SURF을 사용하였다. 두 모델 모두 수평판 위의 천수역에서 발생하는 고차 조화항들을 예측할 수 있으며 점성효과를 포함하는 CADMAS-SURF는 수평판 양단에서 발생하는 와류와 박리에 의한 고차 조화항의 발생을 재현할 수 있다. 수평판의 잠긴 깊이와 길이 변화에 따른 반사율과 투과율을 Patarapanich and Cheong(1989)의 모형실험결과와 비교하였고 서로 잘 일치함을 확인하였다. 수평판의 길이가 길어지고 잠긴 깊이가 얕아질수록 입사파의 에너지가 고차 조화항으로 더 많이 전이됨을 확인하였다.

• 한국항해항만학회지
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• 제34권4호
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• pp.271-279
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• 2010

The Mobile Harbor(MH) is a new transportation platform that can load and unload containers to and from very large container ships in the sea. This loading and unloading by crane can be performed with only very small movements of the MH in waves because MH is operated outside of the harbor. For this reason, an anti-rolling tank(ART) and an active mass driving system(AMD) were designed to reduce MH's roll motion, especially at the natural frequency of MH. In the conceptual design stage, it is difficult to confirm the design result of theses anti-rolling devices without modeling and simulation tools. Therefore, the coupled MH and anti-rolling devices' dynamic equations in waves were derived and a simulation program that can analyze the roll reduction performance in various conditions, such as sea state, wave direction, and so on, was developed. The coupled equations are constructed as an eight degrees of freedom (DOF) motion that consists of MH's six DOF dynamics and the ART's and AMD's control variables. In order to conveniently include the ART's and AMD's control dynamics in the time domain, MH's radiated wave force was described by an impulse response function derived by the damping coefficient obtained in the frequency domain, and wave exciting forces such as Froude-Krylov force and diffraction force and nonlinear buoyancy were calculated at every simulation time interval. Finally, the roll reduction performances of the designed anti-rolling devices were successfully assessed in the various loading and wave conditions by using a developed simulation program.

• Macromolecular Research
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• 제9권3호
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• pp.164-170
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• 2001

Recently in order to describe the complex rheological behavior of polymer melts with long side branches like low density polyethylene, new constitutive equations called the pom-pom equations have been derived by McLeish and Larson on the basis of the reptation dynamics with simplified branch structure taken into account. In this study mathematical stability analysis under short and high frequency wave disturbances has been performed for the simplified differential version of these constitutive equations. It is proved that they are globally Hadamard stable except for the case of maximum constant backbone stretch (λ = q) with arm withdrawal s$\_$c/ neglected, as long as the orientation tensor remains positive definite or the smooth strain history in the now is previously given. However this model is dissipative unstable, since the steady shear How curves exhibit non-monotonic dependence on shear rate. This type of instability corresponds to the nonlinear instability in simple shear flow under finite amplitude disturbances. Additionally in the flow regime of creep shear flow where the applied constant shear stress exceeds the maximum achievable value in the steady now curves, the constitutive equations will possibly violate the positive definiteness of the orientation tensor and thus become Hadamard unstable.

• Current Optics and Photonics
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• 제3권4호
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• pp.342-349
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• 2019

We present a theoretical research concerning terahertz (THz) wave generation with $KTiOPO_4$ (KTP) by collinear phase matching (CPM) stimulated polariton scattering (SPS). Both CPM and corresponding nonzero nonlinear coefficients can be simultaneously realized with $s{\rightarrow}f+f$ in yz plane, $s{\rightarrow}f+s$ with ${\theta}$ < ${\Omega}$ in xz plane and $s{\rightarrow}f+f$ with ${\theta}$ < ${\Omega}$ in xz plane. The effective nonlinear coefficients including electronic nonlinearities and ionic nonlinearities are calculated. Based on the parameter values of refractive indices, absorption coefficients and effective nonlinear coefficients, we simulate THz wave intensities generated with CPM SPS by solving coupled wave equations and give the relationship among the maximum THz wave intensity, optimal crystal length and the angle ${\theta}$. The calculation results demonstrate that CPM SPS with KTP can generate THz waves with high intensities and quantum conversion efficiencies.

• 한국광학회지
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• 제7권2호
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• pp.136-141
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• 1996

본 논문에서는 두 개의 비선형 박막으로 둘러싸인 평면 광도파로에서의 TE 비선형 도파광 특성에 대한 새로운 접근 방법을 제안한다. 비선형 박막에 대한 특성을 묘사하는 비선형 특성행렬을 이용하여 비선형 광도파로에 대한 비선형 분산 방정식을 해석적 형태로 유도한다. 분산 방정식을 기반으로 하는 전산시늉으로 도파광의 파워에 대한 모드 굴절율 변화, 전장의 세기가 최대인 위치, 그리고 파워 분포 등의 도파광의 비선형 특성을 계산한다. 자기-집속형 광도파로 구조에서 비선형 박막의 두께를 감소하면 파워-의존 비선형 모드 굴절율의 광학적 쌍안정 특성이 나타나며 광학적 쌍안정 특성을 위한 임계 파워는 증가한다. 그리고 비선형 광도파로 구조 내부의 파워분포 특성은 비선형 Fabry-Perot etalon의 동작 특성과 유사한 광학적 쌍안정 특성을 나타낸다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.315-327
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• 2007

Mathematical aspects of the electromagnetic surface-wave propagation are examined for the dielectric core consisting of multiple sub-layers, which are embedded in the gap between the two bounding cladding metals. For this purpose, the linear problem with a partial differential wave equation is formulated into a nonlinear eigenvalue problem. The resulting eigenvalue is found to exist only for a certain combination of the material densities and the number of the multiple sub-layers. The implications of several limiting cases are discussed in terms of electromagnetic characteristics.

• 대한수학회논문집
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• 제17권2호
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• pp.349-361
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• 2002

The ill-posed elliptic wave propagation problems can be transformed into well-posed initial value problems of the reflection and transmission operators characterizing the material structure of the given model by the combination of wave field splitting and invariant imbedding methods. In general, the derived scattering operator equations are of first-order in range, nonlinear, nonlocal, and stiff and oscillatory with a subtle fixed and movable singularity structure. The phase space and path integral analysis reveals that construction and reconstruction algorithms depend crucially on a detailed symbol analysis of the scattering operators. Some information about the singularity structure of the scattering operator symbols is presented and analyzed in the transversely homogeneous limit.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2002년도 추계학술대회 논문집
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• pp.174-180
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• 2002

A virtual reality technology for multipurpose numerical simulation is developed to reproduce and investigate a variety of ocean environmental problems in a 3D-Numerical Wave Tank. The governing equations for solving incompressible fluid motion are Navier-Stokes equation and continuity equation, and the Marker-Density function technique is adopted to implement the fully-nonlinear free-surface kinematic condition. The marine environmental situations, i.e. waves, currents, wind, etc., are reproduced by use of multi-segmented wavemaker on the basis of the so-called "snake-principle". In this paper, some numerical reproduction techniques for regular and irregular waves, multi-directional waves, Bull's-eye wave, wave-current, and solitary wave are presented, and a model test in motion with large amplitude of roll angle is conducted in the developed 3D-NWT, using a overlaid grid system.

• 한국해안·해양공학회논문집
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• 제33권6호
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• pp.257-264
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• 2021

본 연구는 완전비선형 Boussinesq 방정식 모델인 FUNWAVE-TVD 모델을 이용하여 비선형 불규칙파에 의한 해안구조물의 월파량을 산정할 수 있는 수치모형을 수립한 것이다. 여기서는 EurOtop(2018)의 월파량 산정 식 및 Goda(2009)의 경험식을 코딩하여 FUNWAVE-TVD 모델의 서브루틴으로 추가하고 수치모형을 수립하였다. 모형의 검증은 직립구조물에 대한 비선형 불규칙파의 월파량을 수치계산하고 EurOtop(2018)에 제시된 실험 결과와 비교하여 수행하였다. EurOtop 식에 의한 수치계산 결과는 비쇄파 조건의 경우 모든 상대여유고(Rc/Hmo) 구간에서 실험결과와 매우 잘 일치하였으며, 경험식에 의한 수치계산 결과는 R_c/H_mo < 0.8 구간에서는 실험 결과보다 과소평가 되었고 R_c/H_mo < 0.8의 구간에서는 실험 결과보다 과대평가 되었다. 쇄파조건의 경우 본 모형의 결과는 R_c/H_mo ≤ 1.35의 exponential curve나 R_c/H_mo > 1.35의 power curve 구간 모두에서 실험 결과를 잘 재현하였다. 따라서 본 수치모형은 직립구조형식의 호안구조물에서 비선형 불규칙파에 의한 월파량을 정도 높게 모의할 수 있음을 확인하였다.