• Title/Summary/Keyword: Boussinesq 모형

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A Study on Failure Mechanism of Reinforced Earth Retaining Wall under Strip Load (대상하중하의 보강토옹벽의 파괴 메카니즘에 관한 연구)

  • 유남재;김영길
    • Geotechnical Engineering
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    • v.7 no.4
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    • pp.35-48
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    • 1991
  • Based on centrifuge model tests, the failure mechanism of reinforced earth retaining wall under strip load was investigated in this paper. Tests were performed by changing the materials of reinforcing strips, strip lengths, and strip arrangements. The strips were strain-gauged to measure the tensions in strips. The results were analyzed and compared with various design methosds in use to verify their feasibility. Consequently, a centrifuge model test was an effective method of investigating the behavior of reinforced earth retaining wall. The 2 : 1 stress diffusion method showed comparable results with tests in estimating the capacity of the reinforced earth wall under strip load. The superposition of tensions due to selfweight of the backfill and strip load was valid to estimate total tensions mobilized in strips. Using the elasticity theory to estimate the maximum tension mobilized in strips due to surcharge, while solutions of Boussinesq and Westergaard underestimated less tensions than the measured valises, Frohlich solution showed the comparable results with tests.

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Directional Wave Generation in the Navier-Stokes Equations Using the Internal Wave Maker (Navier-Stokes 방정식 모형의 경사지게 입사하는 파랑 내부조파)

  • Ha, Tae-Min;NamGung, Don;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.45 no.6
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    • pp.545-555
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    • 2012
  • A numerical modeling has become increasingly popular and more important to the study of water waves with a rapid advancement of computer technology. However, different types of problems are induced during simulating wave motion. One of the key problems is re-reflection to a computation domain at the incident boundary. The internal wave generating-absorbing boundary conditions have been commonly used in numerical wave models to prevent re-reflection. For the Navier-Stokes equations model, the internal wave maker using a mass source function of the continuity equation has been used to generate various types of waves. Nonetheless, almost every numerical experiment is performed in two dimensions and only a few tests have been expanded to three dimensions. More recently, a momentum source function of the Boussinesq equations is applied to generate essentially directional waves in the three dimensional Navier-Stokes equations model. In this study, the internal wave maker using a momentum source function is employed to generate targeted linear waves in the three-dimensional LES model.

Depth-Integrated Models for Turbulent Flow and Transport by Long Wave and Current (흐름과 장파에 의해 발생하는 난류 및 수송모의를 위한 수심적분형 모형)

  • Kim, Dae-Hong;Lynett, Patrick
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.546-550
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    • 2010
  • 흐름과 장파에 의하여 발생되는 난류의 subgrid scale mixing effects를 고려할 수 있는 수심적분형 모형(depth-integrated model)을 제시하였다. 완전비선형의 수심적분형 모형은 약분산(weakly dispersive) 환경에서 흐름의 회전성(rotational)을 고려하도록 perturbation approach를 이용하여 유도되었다. 동일한 방법을 이용하여 수심적분형 이송확산방정식(depth-integrated scalar transport equation)을 유도하였다. 방정식은 4차정확도의 유한체적기법을 이용하여 해석하였으며, 다양한 혼합양상을 보이는 흐름에 대한 수치모의를 수행하였다.

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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.

Numerical study for classifying generation types of rip currents at the beaches of the East Sea coast (수치모의를 통한 동해안 해수욕장의 이안류 발생 형태 분류 연구)

  • Choi, Junwoo
    • Journal of Korea Water Resources Association
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    • v.55 no.9
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    • pp.645-655
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    • 2022
  • Recently rip currents are frequently observed in the summer at the beaches located along the East Sea coast. To understand the generation types of rip currents occurred at the Ease Sea beaches, numerical simulations of rip currents over the topographies of the Sokcho, Naksan, Gyeongpo, Mangsang beaches were performed by using a Boussinesq-type wave and current model, FUNWAVE. The offshore and nearshore topographically-controlled rip currents and the transient rip currents were well reproduced due to the alongshore non-uniformities involving the phase interaction effects. This study looked over the generation types of rip currents to occur at the beaches with complicated field bathymetries.

A Numerical Study of Rip Current Generation Modulated with Tidal Elevations at the Daecheon Beach (큰 조차에 따라 변화하는 지형의 대천 해수욕장 이안류 발생 특성 수치모의 연구)

  • Junwoo, Choi
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.6
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    • pp.247-257
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    • 2022
  • In order to investigate the generations of rip currents modulated with the tidal elevations at a mega-tidal beach at the West Sea coast, numerical simulations of rip currents over the topography of the Daecheon beach were performed by using a Boussinesq-type wave and current model, FUNWAVE. The mega-tidal coast includes rocky outcrops (i.e., reefs) lying over or under the water surface according to the tidal elevations in the offshore and nearshore bathymetry. The offshore topographically-controlled rip currents were well reproduced due to the alongshore non-uniformities transformed by the tide-modulated topography. This study addressed the generation types of rip currents to occur at the mega-tidal coast with the tide-modulated outcrops and reefs.

Internal Wave Generation with the Mass Source Function (질량 원천항을 이용한 내부조파)

  • Ha, Taemin;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2011.02a
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    • pp.59-59
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    • 2011
  • 파랑의 전파와 변형에 대한 연구에는 수심방향으로 적분한 2차원방정식인 완경사방정식과 Boussinesq 방정식을 기반으로 한 수치모형을 이용한 연구가 최근까지 가장 활발하게 진행되어 오고 있다. 그러나 실제 구조물의 설계에는 2차원 수치모형에서 고려할 수 없는 수심방향 유속에 기인한 정확도의 문제로 인해 구조물의 형상과 재원을 설계하기 위한 정교한 수치모형실험이 어려워 주로 수리모형실험에 의존해 왔다. 수리모형실험은 실제 현상을 가장 잘 재현해낼 수 있어 신뢰성이 매우 높지만 다양한 실험을 수행하기가 어렵고 많은 시간과 비용이 소요되는 단점이 있다. 이에 따라 최근 수심방향으로 완전한 운동방정식인 Navier-Stokes 방정식을 푸는 3차원 수치모형에 대한 연구가 활발히 진행되고 있다. 이론적으로 매우 우수한 모형이긴 하나 정확도 높은 결과를 얻기 위해서는 매우 조밀한 격자를 필요로 하기 때문에 아직까지 막대한 계산시간이 필요하다는 단점이 있으나 컴퓨터 기술이 급격한 속도로 발전하고 있어 Navier-Stokes 방정식 모형의 적용 가능성은 계속 높아지고 있다. 파랑변형을 다루는 수치모형실험을 수행할 때 외부조파를 사용할 경우 구조물이나 지형에 의해 반사되어 나온 파랑이 조파지점에 도달할 때 실험영역으로 재 반사되는 문제가 발생한다. 이를 해결하기 위해 내부조파기법의 개발에 대한 연구가 필수적이었으며, 자유수면변위를 변수로 사용하는 모형의 경우 그 연구가 매우 활발하게 진행되어 왔다. 한편, Navier-Stokes 방정식 모형의 경우 자유수면변위를 변수로 사용하는 2차원 모형에 비해 상대적으로 연구가 미흡하였다. 본 연구에서는 기존의 연직 2차원 Navier-Stokes 방정식 모형에 사용된 연속방정식에 질량 원천항을 추가하는 내부조파기법을 도입하여 3차원 수치모형에서 고립파를 내부조파하고, 급경사에서의 고립파의 처오름 및 처내림 현상을 수리모형 실험결과와 비교 및 분석하였다. 수치모형은 Navier-Stokes 방정식을 엇갈림 격자체계에서 계산하는 동수압 모형으로서, Two-step projection 기법을 사용하는 유한차분모형을 사용하였다. 본 수치모형은 난류의 해석을 위해서 상대적으로 큰 에디(eddy)만을 고려하는 SANS(spatially averaged Navier-Stokes) 방정식을 계산하는 LES(large-eddy-simulation) 기반의 수치모형으로, 난류 모델링을 위해 Smagorinsky LES 모형을 사용한다. 또한, 압력장의 계산을 위해 Bi-CGSTAB 기법을 이용하여 Poisson 방정식의 해를 구하였으며, 자유수면 추적을 위하여 2차 정확도의 VOF(volume-of-fluid) 기법을 사용하였다. 수치모형실험이 전체적으로 수리모형실험에서 관측한 파랑의 처오름 및 처내림 현상을 잘 재현하고 있는 것으로 나타났으며, 정량적인 비교를 통해 수치모형의 성능을 검증하였다.

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Preliminary Study on the Development of a Platform for the Selection of Optimal Beach Stabilization Measures against the Beach Erosion - Centering on the Yearly Sediment Budget of Mang-Bang Beach (해역별 최적 해빈 안정화 공법 선정 Platform 개발을 위한 기초연구-맹방해변 이송모드별 년 표사수지를 중심으로)

  • Cho, Yong Jun;Kim, In Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.31 no.1
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    • pp.28-39
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    • 2019
  • In the design process of counter measures against the beach erosion, information like the main sediment transport mode and yearly net amount of longshore and cross shore transport is of great engineering value. In this rationale, we numerically analyzed the yearly sediment budget of the Mang-Bang beach which is suffering from erosion problem. For the case of cross sediment transport, Bailard's model (1981) having its roots on the Bagnold's energy model (1963) is utilized. In doing so, longshore sediment transport rate is estimated based on the assumption that longshore transport rate is determined by the available wave energy influx toward the beach. Velocity moments required for the application of Bailard's model (1981) is deduced from numerical simulation of the nonlinear shoaling process over the Mang-Bang beach of the 71 wave conditions carefully chosen from the wave records. As a wave driver, we used the consistent frequency Boussinesq Eq. by Frelich and Guza (1984). Numerical results show that contrary to the Bailard's study (1981), Irribaren NO. has non negligible influence on the velocity moments. We also proceeds to numerically simulate the yearly sediment budget of Mang-Bang beach. Numerical results show that for ${\beta}=41.6^{\circ}$, the mean orientation of Mang-Bang beach, north-westwardly moving longshore sediment is prevailing over the south-eastwardly moving sediment, the yearly amount of which is simulated to reach its maxima at $125,000m^3/m$. And the null pint where north-westwardly moving longshore sediment is balanced by the south-eastwardly moving longshore sediment is located at ${\beta}=47^{\circ}$. For the case of cross shore sediment, the sediment is gradually moving toward the shore from the April to mid October, whereas these trends are reversed by sporadically occurring energetic wind waves at the end of October and March. We also complete the littoral drift rose of the Mang-Bang beach, which shows that even though the shore line is temporarily retreated, and as a result, the orientation of Mang-Bang beach is larger than the orientation of null pont, south-eastwardly moving longshore sediment is prevailing. In a case that the orientation of Mang-Bang beach is smaller than the orientation of null pont, north-westwardly moving longshore sediment is prevailing. And these trend imply that the Mang-Bang beach is stable one, which has the self restoring capability once exposed to erosion.

Numerical Study on a Dominant Mechanism of Rip Current at Haeundae Beach: Honeycomb Pattern of Waves (수치모의를 통한 해운대 이안류의 주요 메커니즘 연구: 파랑의 벌집구조)

  • Choi, Junwoo;Park, Won Kyung;Bae, Jae Seok;Yoon, Sung Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.5B
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    • pp.321-329
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    • 2012
  • Two regular progressive wave trains, the directions of which are slightly different from each other, develop a honeycomb pattern of wave crests due to their nonlinear interaction. In the honeycomb pattern of wave crest, the nodal line area, which has very low wave energy, is formed. When the honeycomb pattern is developed near the beach area, rip current evolves through the nodal line area formed in the cross shore direction. In this study, to confirm that the formation of honeycomb pattern of waves near the beach area is a dominant mechanism of rip current occurred at Haeundae beach, we performed a numerical simulation of nearshore circulation at Haeundae beach under an unidirectional and monochromatic wave condition by using a nonlinear Boussinesq equation model. As a result, wave refraction due to topographical characteristics (i.e., submerged shoal) of Haeundae gave rise to several wave trains propagating with slightly different directions toward the beach, and consequently rip currents well developed through the nodal line area of honeycomb patterns of wave crest. In addition, we found that a narrow-banded spectral wave condition (i.e., a swell spectrum) increases more likelihood of rip current than a broad-banded spectral wave condtion based on the simulations employing various wave spectra with an equivalent wave height and period.

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.