• Title/Summary/Keyword: Boussinesq 방정식 모델

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Estimate of Wave Overtopping Rate on Vertical Wall Using FUNWAVE-TVD Model (FUNWAVE-TVD 모델을 이용한 직립구조물의 월파량 산정)

  • Kwak, Moon Su;Kobayashi, Nobuhisa
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.33 no.6
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    • pp.257-264
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    • 2021
  • This study established a numerical model capable of calculating the wave overtopping rate of coastal structures by nonlinear irregular waves using the FUNWAVE-TVD model, a fully nonlinear Boussinesq equation model. Here, a numerical model was established by coding the mean value approach equations of EurOtop (2018) and empirical formula by Goda (2009), and adding them as subroutines of the FUNWAVE-TVD model. The verification of the model was performed by numerically calculating the wave overtopping rate of nonlinear irregular waves on vertical wall structures and comparing them with the experimental results presented in EurOtop (2018). As a result of the verification, the numerical calculation result according to the EurOtop equation of this model was very well matched with the experimental result in all relative freeboard (Rc/Hmo) range under non-impulsive wave conditions, and the numerical calculation result of empirical formula was evaluated slightly smaller than the experimental result in Rc/Hmo < 0.8 and slightly larger than the experimental result in Rc/Hmo > 0.8. The results of this model were well represented in both the exponential curve and the power curve under impulsive wave conditions. Therefore, it was confirmed that this numerical model can simulate the wave overtopping rate caused by nonlinear irregular waves in an vertical wall structure.

Analysis of Turbulent Flow in a Square Duct with a $180^{\circ}$ Bend ($180^{\circ}$곡관을 갖는 정사각 단면 덕트에서의 란류류동 해석)

  • Launder, B. E.;Kim, Myung-Ho;Moon, Chan;Choi, Young-Don
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.607-621
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    • 1988
  • The paper describes the incorporation of an algebraic stress model(ASM) of turbulence in to a semi-elliptic solution procedure for the prediction of turbulent flow in passage around a 180.deg. square sectioned bend. The numerical results are obtained from a finite-volume discretization with applications of QUICK scheme and full find grid system without PSL approximation. Results show that the better agreements in velocity profiles with experimental data than those from k, $\varepsilon$ equation model with wall function and PSL are obtained. Predictions of Reynolds stresses also show good agreements with the experimental data.

Theoretical Study on the Generation of Directional Extreme Waves (다방향 극한파 생성의 이론적 연구)

  • Key-Yong Hong;Shuxue Liu;Seok-Won Hong
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.1
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    • pp.38-48
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    • 2002
  • Theoretical development to generate the directional extreme waves in model basin is established based on wave focusing method. The effects of associated parameters, such as the directional range, frequency width, and center frequency, are investigated in terms of wave focusing efficiency. The two different spectral models of constant wave amplitude and constant wave slope are applied to control the wave characteristics. The wave packets simulated by theory are compared with numerical results based on Boussinesq equation and FEM. Both controls of direction and frequency spectrum are essential to focus directional waves effectively. It is noticed that wave focusing ability depends on the frequency bandwidth of spectrum rather than center frequency, and both spectral models with same parameters result in the equivalent efficiency of wave focusing.

A Study on the Methods to Improve High-Wave Reproducibility during Typhoon (태풍 내습 시의 고파 재현성 개선방안 연구)

  • Jong-Dai, Back;Kyong-Ho, Ryu;Jong-In, Lee;Weon-Mu, Jeong;Yeon-S., Chang
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.6
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    • pp.177-187
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    • 2022
  • This study estimates the design wave in the event of a typhoon attack at Busan new port using the wind field, the revised shallow water design wave estimation method proposed by the Ministry of Oceans and Fisheries in 2020, and proposed a reliable method of calculating the shallow water design through verification with the wave observation data. As a result of estimating typhoon wave using the wind field and SWAN numerical model, which are commonly used in the field work, for typhoon that affected Busan new port, it was found that reproducibility was not good except typhoons KONG-REY(1825) and MAYSAK(2009). In particular, in the case of typhoon MAEMI(0314), which had the greatest impact on Busan new port, the maximum significant wave height was estimated to be about 35.0% smaller than that of the observed wave data. Therefore, a plan to improve the reproducibility of typhoon wave was reviewed by applying the method of correcting the wind field and the method of using the Boussinesq equation numerical model, respectively. As a result of the review, it was found that the reproducibility of the wind field was not good as before when the wind field correction. However as a method of linking wind field data, SWAN model results, and Boussinesq numerical model, typhoon wave was estimated during typhoon MAEMI(0314), and the maximum significant wave was similar to the wave observations, so it was reviewed to have good reproducibility.

Assessment and Validation of Turbulence Models for the Optimal Computation of Supersonic Nozzle Flow (초음속 노즐 유동의 최적해석을 위한 난류모델의 평가와 선정)

  • Kam, Ho Dong;Kim, Jeong Soo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.1
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    • pp.18-25
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    • 2013
  • Assessment and validation of RANS turbulence models are conducted for the optimal analysis of supersonic converging-diverging nozzle through the comparison between computational results and experimental data. One/two equation turbulence closures such as Spalart-Allmaras, RNG k-${\varepsilon}$, and k-${\omega}$ SST are employed to simulate the two-dimensional nozzle flow. Computational results with the turbulence models mentioned fairly well predict shock structure of the nozzle-inside and pressure distribution along the wall. Especially, SST model among the employed ones shows the best agreement to experimental results.

Numerical Study on Turbulent Flow Inside a Channel with an Extended Chamber (난류 경계층에 놓인 공동 내부유동에 관한 수치해석적 연구)

  • Lee, Young-Tae;Lim, Hee-Chang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.10
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    • pp.925-931
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    • 2010
  • The paper describes a Large Eddy Simulation (LES) study of turbulent flow around a cavity. A series of three-dimensional cavities placed in a turbulent boundary layer are simulated at a Reynolds number of $1.0{\times}10^5$ by considering U and h, which represent the velocity at the top and the depth of the cavity, respectively. In order to obtain the appropriate solution for the filtered Navier-Stokes equation for incompressible flow, the computational mesh forms dense close to the wall of the cavity but relatively coarse away from the wall; this helps reduce computation cost and ensure rapid convergence. The Boussinesq hypothesis is employed in the subgrid-scale turbulence model. In order to determine the subgrid-scale turbulent viscosity, the Smagorinsky-Lilly SGS model is applied and the CFL number for time marching is set as 1.0. The results show the flow variations inside cavities of different sizes and shapes.

Numerical study on the behavior of rip current using different bathymetry at Haeundae Beach (해운대 해저지형에 대한 이안류 거동 수치모의)

  • Ha, Taemin;Yoon, Jae Seon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.328-328
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    • 2017
  • 해운대 해변은 한국에서 가장 유명한 해변 중 하나로 국제적으로도 널리 알려져 매년 많은 관광객을 끌어들이는 부산의 대표 관광지 중 하나이다. 그러나 근래 들어 해운대에서 이안류가 자주 발생하며 관광객들이 불안해하고 있다. 해운대 해변에서 해수욕을 즐기던 관광객들이 이안류에 휩쓸려 구조된 사례가 2013년에만 500명을 넘는 것으로 보고되고 있다. 다행히 아직까지 이 지역에서 이안류로 인한 인명사고는 보고되지 않았으나 매년 발생하는 이안류에 대한 공포로 사회적인 경각심이 고조되고 있는 실정이다. 이에 따라 해운대 이안류의 발생 메커니즘을 규명하고자 하는 연구가 꾸준히 진행되고 있으며, 이안류 사고에 대비한 경보체계 구축 등의 연구도 병행되고 있다. 해운대 이안류의 발생원인을 공학적으로 규명할 수 있다면 향후 해운대 해변의 방재대책 수립을 위한 핵심자료로 사용될 수 있으며, 타 지역에서 발생하는 이안류의 원인분석 및 대책수립을 위한 참고자료로서도 중요한 역할을 할 수 있다. 본 연구에서는 최근 국내외에서 발표된 해운대 이안류 발생원인에 대한 고찰을 기초로 해저지형으로 인한 해운대 이안류 거동의 변화를 수치모델을 활용하여 분석하였다. 널리 알려진 Boussinesq 방정식 모델인 FUNWAVE-TVD를 사용하였으며, 병렬 연산을 활용하여 수치모의 시간을 단축하였다. 해운대 이안류는 해저지형의 변화에 따라 이안류 발달 장소가 달라지긴 하였으나 전체적인 양상은 크게 변하지 않는 것으로 나타났다.

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Characteristic of Wave Diffraction and Reflection for Irregular Waves in SWASH Model Around Small Port Structures (소규모 항만 구조물 주변에서 불규칙파에 대한 SWASH 모형의 반사 및 회절)

  • Kwon, Kyong Hwan;Park, Chang Wook;Park, Il Heum;Kim, Jong Hoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.31 no.6
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    • pp.468-477
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    • 2019
  • The numerical model of Boussinesq approximation, which is mainly used for evaluating the port calmness due to the irregular waves, has a limit of applicability of lattice size in ports such as marinas with narrow port openings of around 30m. The SWASH model controls the partial reflection according to the depth, porosity coefficient and structure size when applying the reflected wave incident on the structure and terrain. In this study, the partial reflection evaluation at the front of the structure according to the bottom shape and the shape of the structure are examined. In order to evaluate the reproducibility of the model due to the diffraction waves entering the term, the area of incidence at right angles and inclination of the structure is constructed and compared with the diffraction theory suggested by Goda et al. (1978). The experimental results of the sectional structure reflectances calculated as the depth mean show reflectances similar to the approximate values of the reflectances presented by Stelling and Ahrens (1981). It is considered that the reflected wave is well reproduced according to the control of the reflected wave at the boundary and the shape and topography of the structure. Compared with previous studies to examine the diffraction of the wave incident from the breakwater opening, the wave incidence angle and the shape of the diffraction wave are very similar to the theoretical values, but both oblique and rectangular incidence In the case where the direction concentration is small, the diffraction degree is underestimated in some sections with the crest ratio of 0.5 to 0.6.