• Title/Summary/Keyword: Wave Equation

Search Result 1,600, Processing Time 0.031 seconds

Numerical Simulation of Fully Nonlinear Free-Surface Flow around Seawall with Slope (경사면을 갖는 월파형 구조물 주위의 비선형성 자유표면류의 수치 시뮬레이션)

  • Park, Jong-Chun;Park, Dong-In;Lee, Sang-Beom;Hong, Gi-Yong;Sun, Sung-Bu
    • Journal of Ocean Engineering and Technology
    • /
    • v.19 no.3
    • /
    • pp.18-24
    • /
    • 2005
  • Wave overtopping is one of the most important processes for the design of seawalls. The term "wave overtopping" is used here to refer to the processes where waves hit a sloping structure run up the slope and, if the crest level of the slope is lower than the highest run up level, overtop the structure. Wave overtopping is dependent on the processes associated with breaking wave. A numerical model based on Navier-Stokes equation and the Marker-density function for predicting wave overtopping of coastal structures is developed in this paper. In order to evaluate the present model, two simulations are tested. One is overflow without waves at vertical seawall, and the other is wave overtopping at sloping seawalls.

Numerical Model Experiments of Wave Transformation for the Marine Structure Design (해양구조물 설계를 위한 파랑변형 수치모형실험)

  • Jang, Ho-Sik
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.16 no.3
    • /
    • pp.440-447
    • /
    • 2012
  • Numerical model experiments of wave transformation due to the reclamation and the construction of breakwater in case of 50 years design wave were performed using time dependent mild slope equation included shoaling, refraction, diffraction, reflection and wave breaking. As waves propagate to the shore, wave height gradually diminishes by the bottom friction and wave breaking etc.. After the reclamation and the construction of 75 m length breakwater, wave height distributions in the lee of breakwater have the range of 29~128 cm. To make better the harbor tranquility the length of breakwater needs to extend more than 100 m. After the construction of breakwater, wave height in the lee of the structure was deduced over 80%.

Wave Damping Rate Over Multi-layer Permeable Bed of Finite Depth (깊이가 유한한 다중 투수층 위에서의 파의 감쇠율)

  • Suh, Kyung-Duck;Do, Ki-Deok
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.21 no.2
    • /
    • pp.127-135
    • /
    • 2009
  • Reid and Kajiura(1957) has studied on the wave damping rate over a permeable bed of infinite depth. In this study, wave damping rate over a permeable bed of finite depth is derived by linear wave theory. It is then extended to derive wave damping rates over a double or triple layer, each of which consist of different material. Applying the wave damping rate to the mild slope equation, the wave transmission coefficient over a permeable bed has been calculated. The model has been certificated by comparing with the result of Flaten and Rygg(1991)'s integral equation method in the case of a single-layer bed.

Modeling of Wave Breaking in Spectral Wave Evolution Equation (스펙트럼 파랑모형에서의 쇄파모형)

  • Cho, Yong-Jun;Ryu, Ha-Sang
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.19 no.4
    • /
    • pp.303-312
    • /
    • 2007
  • There is still a controversy going on about how to model energy dissipation due to breaking over frequency domain. In this study, we unveil the exact structure of energy dissipation using stochastic wave breaking model. It turns out that contrary to our present understanding, energy dissipation is cubically distributed over frequency domain. The verification of proposed model is conducted using the acquired data during SUPERTANK Laboratory Data Collection Project (Krauss et al., 1992). For further verification, we numerically simulate the nonlinear shoaling process of Conoidal wave over a beach of uniform slope, and obtain very promising results from the viewpoint of a skewness and asymmetry of wave field, usually regarded as the most fastidious parameter to satisfy.

Theoretical and numerical analysis of the influence of initial stress gradient on wave propagations

  • Tao, Ming;Chen, Zhenghong;Li, Xibing;Zhao, Huatao;Yin, TuBing
    • Geomechanics and Engineering
    • /
    • v.10 no.3
    • /
    • pp.285-296
    • /
    • 2016
  • The investigation of stress wave propagation in a medium with initial stress has very important application in the field of engineering. However, the previous research less consider the influence of initial stress gradient on wave propagation. In the present paper, the governing equation of wave propagation in elastic continuum material with inhomogeneous initial stress is derived, which indicated that the inhomogeneous initial stress changed the governing equation of wave propagation. Additionally, the definite problem of wave propagation in material with initial stress gradient is verified by using mathematical physics method. Based on the definite problem, the elastic displacement-time relationship of wave propagation is explored, which indicated that the inhomogeneous initial stress changed waveform and relationship of displacement-time histories. Furthermore, the spall process of blasting wave propagation from underground to earth surface is simulated by using LS-DYNA.

Elastic Wave Field Calculations (탄성파의 변형 및 응력 계산에 관한 연구)

  • 이정기
    • Computational Structural Engineering
    • /
    • v.10 no.2
    • /
    • pp.213-223
    • /
    • 1997
  • Calculation of elastic wave fields has important applications in a variety of engineering fields including NDE (Non-destructive evaluation). Scattering problems have been investigated by numerous authors with different solution schemes. For simple geometries of the scatterers (e.g., cylinders or spheres), the analysis of steady-state elastic wave scattering has been carried out using analytical techniques. For arbitrary geometries and multiple inclusions, numerical methods have been developed. Special finite element methods, e.g., the infinite element method and a hybrid method called the Global-Local finite element method have also been developed for this purpose. Recently, the boundary integral equation method has been used successfully to solve scattering problems. In this paper, a volume integral equation method (VIEM) is proposed as a new numerical solution scheme for the solution of general elasto-dynamic problems in unbounded solids containing multiple inclusions and voids or cracks. A boundary integral equation method (BIEM) is also presented for elastic wave scattering problems. The relative advantage of the volume and boundary integral equation methods for solving scattering problems is discussed.

  • PDF

Experiments for Wave Transformation of Regular and Irregular Waves over a Submerged Elliptic Shoal(I) : Non-breaking Conditions (타원형 수중천퇴상의 규칙파 및 불규칙파의 전파변형 실험(I):비쇄파조건)

  • 이종인;이정욱
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.14 no.3
    • /
    • pp.240-246
    • /
    • 2002
  • Hydraulic model experiments were conducted fur a series of regular and uni-directional irregular waves propagating over a submerged elliptic shoal. Two different sets of experiments have been studied; one considers regular wave transformation with no breaking, and the other considers uni-directional irregular wave with partial breaking on top of the shoal. The numerical experiments are also performed using a numerical model based on the parabolic approximation equation. The result of the numerical experiments are compared with that of hydraulic experiments.

Wave Inundation at Mokpo Harbor (목포항에서의 풍파로 인한 범람)

  • Lee, Jung-Lyul;Kang, Juo-Hwan;Moon, Seung-Rok;Lim, Heung-Soo
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2006.05a
    • /
    • pp.574-578
    • /
    • 2006
  • Tidal amplification by construction of the sea-dike and sea-walls had been detected not only near Mokpo Harbor but also at Chungkye Bay which is connected with Mokpo Harbor by a narrow channel. This brings about increase of tidal flat area and in particular increase of surge-wave combined runup during storms. The purpose of this study is to examine an efficient operational model that can be used by civil defense agencies for real-time prediction and fast warnings on wind waves and storm surges. Instead of using commercialized wave models such as WAM, SWAN, the wind waves are simulated by using a new concept of wavelength modulation to enhance broader application of the hyperbolic wave model of the mild-slope equation type. Furthermore, The predicting system is composed of easy and economical tools for inputting depth data of complex bathymetry and enormous tidal flats such as Mokpo coastal zone. The method is applied to Chungkye Bay, and possible inundation features at Mokpo Harbor are analyzed.

  • PDF

Effect of magnetic field on wave propagation in cylindrical poroelastic bone with cavity

  • Farhan, A.M.
    • Structural Engineering and Mechanics
    • /
    • v.61 no.4
    • /
    • pp.539-549
    • /
    • 2017
  • In this paper, the wave propagation in an infinite poroelastic cylindrical bone with cavity is studied. An exact closed form solution is presented by employing an analytical procedure. The frequency equation for poroelastic bone is obtained when the boundaries are stress free and is examined numerically. The magnitude of the frequency equation, wave velocity and attenuation coefficient are calculated for poroelastic bone for different values of magnetic field, density and frequency. In wet bone little frequency dispersion was observed, in contrast to the results of earlier studies. Such a model would in particular be useful in large-scale parametric studies of bone mechanical response. Comparison was made with the results obtained in the presence and absence of magnetic field. The results indicate that the effect of magnetic field, density and frequency on wave propagation in poroelastic bone are very pronounced.

The Lamb Wave Equation in a Composite Plate with Anisotropy (이방성 복합재료 판에서의 램파 방정식)

  • Rhee, Sang-Ho
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.13 no.1
    • /
    • pp.126-132
    • /
    • 2010
  • A Lamb wave guided by a plate structure has dispersive characteristics because phase and group velocity change with the variation of frequency and thickness. The Lamb wave has two modes, symmetric and anti-symmetric mode, which propagates symmetrically and non-symmetrically with respect to centerline. In this paper, the derivation of Lamb wave equation with anisotropic material property is investigated. The phase velocity and group velocity dispersion curves are shown using the stiffness matrix of composite materials with the variation of angle.