• 한국해양공학회지
• /
• 제17권5호
• /
• pp.25-31
• /
• 2003

Numerical experiments have been conducted using the nonlinear combined refraction-diffraction model, in order to analyze the generation characteristics of stem wave, which is formed by the interaction between vertical structure and the oblique incident waves. The results of stem wave are discussed through the stem wave height distribution along/normal vertical structure, under the wide range of incident wave conditions-wave heights, periods, depths, and angles. Under the same wave height and period, the larger the incident wave angle, the higher the stem wave heights. According to the results of wave height distribution, in front of vertical structure, the maximum of stern wave heights occurs in the location bordering the vertical wall. Furthermore, the most significant result is that stem waves occur under the incident angles between $0^{\circ}\;and\;30^{\circ}$, and the stem wave height ratio has the maximum value, which is approximately 1.85 times the incident wave height when the incident wave angle becomes $23^{\circ}$.

• International Journal of Naval Architecture and Ocean Engineering
• /
• 제12권1호
• /
• pp.168-177
• /
• 2020

Many coastal engineering designs utilize empirical formulas containing the Equivalent Deep-water Wave Height (EDWH), which is normally given a priori. However, no studies have explicitly discussed a method for determining the EDWH and the resulting design wave heights (DEWH) under irregular wave conditions. Unfortunately, it has been the case in many design practices that the EDWH is incorrectly estimated by dividing the Shallow-water Wave Height (SWH) at the structural position with its corresponding shoaling coefficient of regular wave. The present study reexamines the relationship between the Shallow-water Wave Height (SWH) at the structural position and its corresponding EDWH. Then, a new procedure is proposed to facilitate the correct estimation of EDWH. In this procedure, the EDWH and DEWH are determined differently according to the wave propagation model used to estimate the SWH. For this, Goda's original method for nonlinear irregular wave deformation is extended to produce values for linear shoaling. Finally, exemplary calculations are performed to assess the possible errors caused by a misuse of the wave height calculation procedure. The relative errors with respect to the correct values could exceed 20%, potentially leading to a significant under-design of coastal or harbor structures in some cases.

• 한국가시화정보학회지
• /
• 제18권3호
• /
• pp.14-22
• /
• 2020

An experiment, in the cases that satisfies deep water condition, has been performed to observe the strongly nonlinear sloshing flow in a rectangular tank. A variety of parametric study on oscillating frequency and amplitude was conducted and we found that two types of wave motions, sloshing wave and Faraday wave, could be persisting simultaneously even in horizontal sloshing problem. Moreover, it is observed both of symmetric and skewed symmetric Faraday wave exist. A comprehensive explanation is given to the generation mechanism of those waves and how to interact among them.

• Journal of Advanced Research in Ocean Engineering
• /
• 제1권3호
• /
• pp.157-167
• /
• 2015

In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

• 한국해안해양공학회지
• /
• 제11권1호
• /
• pp.20-33
• /
• 1999

심해에서 풍파의 성장은 바람에 의한 에너지 입력, 비선형 상호작용에 의한 에너지 전달 및 백파에 의한 에너지 소산에 의하여 결정된다. 본 연구에서는 두가지의 비선형 계산법(IMM 모형과 WAM 모형)을 사용하여 풍파 스펙트럼의 시간발전 특성을 상호비교하였다. 비선형 에너지 전달은 첨두주파수의 저주파 천이, 스펙트럼의 과대평가 현상, 스펙트럼의 자기상사적 발달 등에서 중심적인 역할을 하는 것으로 나타났다. 특히, 고주파 성분의 방향 분포가 쌍봉형으로 발전되는 경향이 있는데 이러한 현상도 비선형 상호작용의 역할로 설명되었다. 주파수 스펙트럼에서 고주파측의 꼬리는 주파수의 -4승에 비례하는 형상으로 발전되는 것이 확인되었다. 외부의 원인으로 스펙트럼에 도입되는 섭동은 자기상사 기구에 의하여 빠르게 제거되는데 이는 파랑수치 모형에서 비선형 상호작용이 모형의 안정화에 크게 기여함을 의미한다.

• 한국해안해양공학회지
• /
• 제13권2호
• /
• pp.149-157
• /
• 2001

Nadaoka et al.에 의해 유도된 약 비선형 완경사 파동방정식을 급경사 지형에 적용할 수 있도록 바닥경사 곡률항과 바닥경사 제곱항을 포함하는 확장형 파동방정식을 유도하였다. 유도된 확장형 파동방정식의 선형식에 대해 일차원 유한차분 수치모형을 구성하고, 다양한 경사를 가치는 평면 경사지형에 의한 파의 반사에 대해 유도된 식과 수치모형을 검사하였다. 본 연구의 수치해와 기존의 여러 수치모형의 결과를 비교하여 본 결과, 급변수심에 대한 바닥경사 곡률항과 바닥경사 제곱항을 완전히 포함하여 원래의 Nadaoka et al. 식보다 정도가 상당히 개선되었다.

• 대한조선학회논문집
• /
• 제40권1호
• /
• pp.20-27
• /
• 2003

The FPSO is moored by mooring lines to keep the position of it. The nonlinear motion analysis of the moored FPSO must be carried out in the initial design stage because sea environments affect motion of it. In this paper, the mathematical model is based on the slow motion maneuvering equations in the horizontal plane considering wave, current and wind forces. The direct integration method is employed to estimate wave loads. The current forces are calculated by using mathematical model of MMG. The turret mooring forces are quasi-statically evaluated by using the catenary equation. The coefficients of a model for wind forces are calculated from Isherwood's experimental data and the variation of wind speed is estimated by wind spectrum according to the guidelines of API-RP2A. The nonlinear motions of FPSO are simulated under external forces due to wave, current, wind including mooring forces in time domain.

• Korean Journal of Mathematics
• /
• 제23권1호
• /
• pp.11-27
• /
• 2015

Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a at bottom. The main objective in this paper is to apply the generalized Riccati equation mapping method for obtaining more exact traveling wave solutions of Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation. More precisely, the obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functional form. Solutions obtained are potentially significant for the explanation of better insight of physical aspects of the considered nonlinear physical models.

• 한국해안해양공학회지
• /
• 제19권3호
• /
• pp.222-227
• /
• 2007

심해에서 생성된 최극해파가 파랑과 상호작용하는 현상에 대한 연구를 수행하였다. 이러한 파랑은 분산집중을 이용하여 산정하였다. 이러한 과정은 선형 및 비선형 방정식의 해를 구하여 얻을 수 있다. 상호작용에서 비선형성의 역할을 강조하였다.

• Nonlinear Functional Analysis and Applications
• /
• 제27권3호
• /
• pp.471-497
• /
• 2022

In this paper, we study a system of nonlinear wave equations associated with the helical flows of Maxwell fluid. By constructing a N-order iterative scheme, we prove the local existence and uniqueness of a weak solution. Furthermore, we show that the sequence associated with N-order iterative scheme converges to the unique weak solution at a rate of N-order.