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NONLINEAR WAVE PACKET EVOLUTION IN SHALLOW WATER
Efim Pelinovsky,타타냐타리포바,Eliezer Kit,Ori Eitan 한국해안해양공학회 1999 학술강연회 발표논문초록집 Vol.2 No.1
Wave group evolution in shallow water of constant depth is simulated numerically applying the Korteweg-de Vries equation. Decomposition into harmonics is performed and the results are presented separately for the carrier wave frequency, the 2^(nd) and the low harmonics. Experiments are performed for three values of the forcing amplitude at the wavemaker. The effect of the nonlinearity parameter and its ratio to the dispersion parameter on the evolution of the wave group along the tank is studied. Advantage is taken of the relatively simple theoretical model employed in order to analyse the relative importance of various terms in the governing equation. Good agreement between the available experimental and the numerical results is obtained.
Redistribution of Passive Impurity by Long Waves in Coastal Zone
Pelinovsky, Efim,Talipova, Tatjana 한국해안해양공학회 1993 한국해안해양공학회 논문집 Vol.5 No.3
연안역에서의 파동이 오염원의 확산에 미치는 영향에 관한 연구를 수행하였다. 천해근사를 사용하여 기존의 확산방정식을 수심에 관하여 적분함으로써, 임의의 진폭을 갖는 장파조건 및 임의의 흐름조건에 대하여 적용가능한 방정식을 유도하였다. 수립된 방정식을 사용하여 장파가 오염원의 농도에 영향을 미치는 여러 경우에 대하여 고찰하였다. In this paper the effect of wave motion acting on the natural folds of dispersed material in the coastal zone is studied. After integrating the usual diffusion equation with respect to the depth using shallow-water approximation simpler equation for integrated concentration was obtained. which holds for long waves of arbitrary amplitude and far any arbitrary barotropic flows. Different situations of long wave action on impurity concentration in the frame of this equation are considered.
Nonlinear Dispersion Model of Sea Waves in the Coastal Zone
Pelinovsky, Efim N.,Stepanyants, Yu.,Talipova, Tatiana 한국해안해양공학회 1993 한국해안해양공학회 논문집 Vol.5 No.4
파랑의 비선형성 및 분산을 고려한, 연안역에서의 파랑변형에 관한 연구를 수행하였다. 규칙파의 변형에 관한 수학적 모형은 비선형 ray모델에 기초하였으며, ray 및 파동장에 관한 방정식들을 수립하였다. 비선형 파동장은 수정 Korteweg-de Vries 식으로서 나타내었으며, 이에 대한 몇몇 해석 해들을 구하였다. 또한 Caustic 변형 및 감쇄효과를 수학적 모형에 포함하였다. Korteweg-de Vries 방정식에 대한 수치계산 알고리즘과 안정조건을 기술하였으며, 연안역에서의 비선헝 파랑변형 계산 결과를 제시하였다. The problem of sea wave transformation in the coastal zone taking into account effects of nonlinearity and disperison has been studied. Mathematical model for description of regular wave transformation is based on the method of nonlinear ray theory. The equations for rays and wave field have been produced. Nonlinear wave field is described by the modified Korteweg-de Vries equation. Some analytical solutions of this equation are obtained. Caustic transformation and dissipation effects are included in the mathematical model. Numerical algorithm of solution of the Korteweg-de Vries equation and its stability criterion are described. Results of nonlinear transformation of sea waves in the coastal zone are demonstrated.