• Title/Summary/Keyword: Boussinesq 모델

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Development of interactive tracer transport model coupled with Boussinesq equations (Boussinesq 방정식 기반 인터렉티브 추적자 이동 모형 개발)

  • Hwang, Sooncheol;Son, Sangyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.89-89
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    • 2020
  • 본 연구에서는 GPU 가속화 기반의 Boussinesq 모형인 Celeris Advecnt에 수심 적분된 2차원 이송-확산방정식을 추가하여 인터렉티브 시스템 기반의 추적자 이동 모형을 개발하였다. Celeris Advent는 최초로 개발된 인터렉티브 시스템을 갖춘 Boussinesq 모형으로, 시뮬레이션 중에 사용자가 모형의 파라미터뿐 아니라 모델 도메인 내 수위 및 수심을 바꿀 수 있다. 이를 통해 사용자는 모의가 진행되는 도중에 모델의 안정성 및 효율성을 위해 시간 간격을 조정할 수 있을 뿐 아니라 방파제 설치 등과 같은 지형 변화를 고려하기 위해 도메인 내 격자별 수심을 조정할 수 있다. 본 연구에서는 연안에서의 추적자 이동 모의를 위해 Boussinesq 방정식과 더불어 이송-확산방정식을 풀이하는 추적자 이동 모형을 개발하였다. 추적자의 확산항의 경우 분자 자체의 확산과 더불어 쇄파에 따른 난류 확산을 고려하였다. 난류 확산계수는 슈미트 수를 1로 두어 와동점성계수와 동일하게 두었으며, 와동점성은 단순화된 형태의 쇄파모형을 고려하여 계산하였다. 쇄파모형의 고려로 인해 이송-확산방정식과 더불어 운동량 방정식에서도 쇄파에 따른 운동량 소산이 고려되었다. 마지막으로, 추적자 농도에 대한 인터렉티브 시스템을 추가하여, 모델 구동 중에도 사용자가 수심적분된 추적자 농도를 조정할 수 있도록 하였다. 기수행된 2개의 수리실험 조건과 관측값을 이용하여 벤치마크 테스트를 수행하였으며, 관측값과 대체로 일치하는 것을 확인하였다.

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Characteristics of vertical structure in Rip-currents (이안류 흐름의 연직분포특성)

  • Jung, Taehwa;Son, Sangyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.468-468
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    • 2016
  • 3차원 동수역학 모델을 이용하여 연안 순환에서 발생하는 이안류의 연직 분포를 조사하였다. 이안류 흐름은 변수심 위에서 발생하는 파의 쇄파와 모멘텀 전달에 의해 발생하는 외해방향의 흐름을 의미하는 것으로 해안의 보전, 유지 및 개발 측면에서 매우 중요한 역할을 한다. 지난 수십년동안 이안류와 관련된 현상을 해석하기 위해 많은 연구들이 수행되어 왔다. 하지만 대부분의 연구들은 수심적분된 2차원 모델을 사용하거나 위상 평균된 3차원 모델을 사용하여 이안류 흐름이 발생할 시 유속의 3차원 분포나 각 종 물리량의 시간적인 변화 등을 모의하기 어려웠다. 본 연구에서는 3차원 동수역학 모델 NHWAVE (Non-Hydrostatic WAVE model)을 이용하여 이안류의 연직분포를 조사하였다. 이안류를 발생시키기 위하여 이상적인 이안류 지형을 만들었으며 여러 지점에서 연직분포를 측정하여 수심적분된 Boussinesq 모델과 비교하여 특성을 파악하였다. 수치모의 수행결과, 두 모델 모두 이안류 현상을 잘 재현하였으나 Boussinesq 모델은 수평유속의 연직방향 변화를 잘 재현하지는 못하였다. 또한, 파고가 상대적으로 큰 경우에는 3차원 모델에서는 작은 순환류가 외해 영역에서 발생하였으나 Boussinesq 모델에서는 관측하지 못하였다.

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Simulation of Reflective Boundaries Using the Sponge Layer in Boussinesq Wave Propagation Model (Boussinesq 파랑전파모델에서 스펀지층을 이용한 반사경계의 모의)

  • Chun, In-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.5
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    • pp.429-435
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    • 2007
  • The present study proposed a method fer simulating reflective boundary conditions in Boussinesq wave propagation model by lining lateral boundaries like breakwaters and seawalls with artificial sponge layers. In order to find out the reflective characteristics of sponge layers, 1D numerical experiments were performed varying the relative sponge width (sponge width/wave length). The results showed that the reflection coefficient can be effectively realized from no reflection to full reflection simply by adjusting the relative sponge width. Based on the results, a multiple regression formula was proposed to delineate the relationship among the reflection coefficient and other dimensionless variables. Finally, the reflective sponge layer was applied to a semi-infinite breakwater, demonstrating that it can also be successfully employed in 2D applications.

Application of Boussinesq Equation Model for the Breaking Wave Behavior around Underwater Shoals (수중 천퇴에서의 쇄파거동 예측을 위한 Boussinesq 방정식 모델의 적용)

  • Chun, In-Sik;Kim, Gui-Dong;Sim, Jae-Seol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.2
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    • pp.154-165
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    • 2006
  • In the present study, a numerical model using Boussinesq equation is set up to predict the interacted equilibrium between waves and their induced currents in the occurrence of breaking waves over an underwater shoal, and the numerical results are compared with results of existing hydraulic experiments. A sensitivity analysis has been done to find out appropriate values of breaking wave parameters with the result (regular wave case) of Vincent and Briggs (1989)’ experiment. Then the numerical model is applied to the irregular wave cases of the experiment and the hydraulic model test of Ieodo which is a natural undersea shoal. The results show that a strong current forms in the wave direction at the downstream side of the shoals, causing the attenuation of wave heights there. The calculated wave heights generally show a similar pattern with the measured data.

Derivation of Nonlinear Model for Irregular Waves on Miled Slpoe (비선형 불규칙 완경사 파랑 모델의 유도)

  • 이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.3
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    • pp.281-289
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    • 1994
  • An equation set of nonlinear model for regular/irregular waves presented in this study can be applied to waves travelling from deep water to shallow water, which is different from the Boussinesq equations. The presented equations completely satisfy the linear dispersion relationship and when expanded, they are proven to be consistent with the Boussinesq equation of several types. In addition, the position of averaged velocity below the still water level is estimated based on the linear wave theory.

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Calculation of Wave Deformation and Wave Induced Current around an Underwater Shoal by Boussinesq Equation (Boussinesq 방정식을 이용한 수중 천퇴에서의 파랑변형 및 파랑류 계산)

  • Chun Insik;Seong Sangbong;Kim Guidong;Sim Jaeseol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.3
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    • pp.202-212
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    • 2005
  • In the design of an of offshore structure located near an underwater shoal, the same amount of attention given to the wave height may have to be put to the wave induced current as well since some of the wave energy translates to the current. In the present study, two numerical models each based on the nonlinear Boussinesq equation and the linear mild slope equation are applied to calculate the wave deformation and secondly induced current around a shoal. The underwater shoal in Vincent and briggs' experiment (1989) is used here, and all non-breaking wave conditions of the experiment with various monochromatic and unidirectional or multidirectional spectral wave incidences are concerned. Both numerical models clearly showed wave induced currents symmetrically farmed along the centerline over the shoal. The calculated wave heights along a preset line also generally showed very nice agreements with the experimental values.

Evaluation of Fluid Forces Acting on Offshore Structures Placed in the Vicinity of Underwater Shoal (수중 천퇴 인근에 설치된 해양구조물에 작용하는 유체력 결정에 대한 고찰)

  • Chun, In-Sik;Min, In-Ki;Sim, Jae-Seol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.2
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    • pp.136-145
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    • 2007
  • When waves propagating over an underwater shoal break at the top of the shoal, wave heights are drastically decreased in the downstream breaking zone, but a secondary current shooting downstream with strong velocity can be induced by the breaking waves themselves. In the case that an offshore structure is placed in the breaking zone, the estimation of wave farce purely based on the visible wave height may cause an under-design of the structure. Thus, for the safe design of the structure, the breaking wave induced current should be necessarily considered in the comprehensive estimation of design load. In the present study, Boussinesq equation model to calculate the wave height distribution and breaking wave induced current was set up and applied to the scheme of a hydraulic model test previously undertaken. Based on the results of the Boussinesq model, fluid forces acting on the model structure were calculated and compared with the experimental results. The importance of the breaking wave induced current was quantitatively assessed by comparing fluid forces with or without current.

A Simulation of Directional Irregular Waves at Chagui-Do Sea Area in Jeju Using the Boussinesq Wave Model (Boussinesq 모델을 이용한 제주 차귀도 해역의 다방향 불규칙파 시뮬레이션)

  • Ryu, Hwang-Jin;Shin, Seung-Ho;Hong, Key-Yong;Hong, Seok-Won;Kim, Do-Young
    • Journal of Ocean Engineering and Technology
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    • v.21 no.1 s.74
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    • pp.7-17
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    • 2007
  • Based on the Boussinesq wave model, the wave distribution in the Chagui-Do sea area in Jeju was simulated by applying the directional irregular waves at an incident boundary. The time and spatial variations of monthly mean wave height and period were investigated, which aims to provide basic information on optimal sites for wave power generation. The grid size and time interval of the Boussinesq wave model were validated by examining wave distributions around a surface piercing wall, fixed at sea bottom with a constant slope. Except for the summer season, the significant wave height is dominated by wind waves and appears to be relatively high at the north sea of Chagui-Do, which is open to the ocean, while it is remarkably reduced at the rear sea of Chagui-Do because of its blocking effect on incident waves. In the summer, the significant wave height is higher at the south sea, and it is dominated by the swell waves, which is contributed by the strong south-west wind. The magnitude of significant wave height is the largest in the winter and the lowest in the spring. Annual average of the significant wave height is distinctively high at the west sea close to the Chagui-Do coast, due to a steep variation of water depth and corresponding wave focusing effect. The seasonal and spatial distribution of the wave period around Chagui-Do sea reveals very similar characteristics to the significant wave height. It is suggested that the west sea close to the Chagui-Do coast is the mast promising site for wave power generation.

Experimental Study for Beach Process by Construction of Offshore Structure (외해구조물 건설에 따른 해빈 변형에 관한 실험적 연구)

  • 이중우
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.96-106
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    • 2000
  • Though the recent years, large scale structures have been built on offshore for utilization of coastal ocean space as offshore airport and marine terminals. Sometimes, those big scale structures, however, happened to act as significant barriers against waves and severe beach erosion would take place on the coast. The present study deals nearshore topography changes affected by construction of an offshore structure with different distance from the shore. The series of three dimensional movable bed experiments have been examined in detail. Moreover, in order to make clear the relation of nearshore currents and local erosions behind offshore structure, the nearshore currents are calculated by Boussinesq equation model and compared with the same scale condition of the physical model experiments.

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Low-pass Filters for Removing Numerical Noises of Boussinesq Equation Model (Boussinesq 방정식 모델의 수치잡음 제거를 위한 저파수 통과 필터에 대한 고찰)

  • Chun, In-Sik;Sim, Jae-Seol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.5
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    • pp.418-428
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    • 2007
  • In the calculation of wave propagation by Boussinesq equation model, it is very common to experience numerical noises generated from nonlinear interaction and breaking wave occurrence, and the numerical solution is rapidly diverged unless the noises are properly controlled. A comparative study was here undertaken for the characteristics of three different lowpass filters (FFT filter, Gaussian filter and Shapiro filter) which are all designed to be applied to the interim results of numerical calculation. The numerical results obtained with application of respective filter techniques were compared with the results of an existing hydraulic experiment for the aspects of noise suppression, conservation of main signal and altering time. The results show that the Shapiro filter can be best applied with optimal choices of its element number, pass number and filtering tune interval. The combination of the number of filter element off, pass number of 50 or less, and application interval of 100 to 200 time steps generally showed good performance in both accuracy and efficiency of the numerical calculation.