• Title/Summary/Keyword: Depth-integrated equation

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Time Integration Algorithm for the Estimation of Daily Primary Production (식물플랑크톤 일차생산력의 새로운 시간 적분 알고리즘)

  • Park, Jong-Gyu;Kim, Eung-Kwon
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.15 no.3
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    • pp.124-132
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    • 2010
  • In spite of the global importance of primary production of phytoplankton, some primary production data in Korean coastal waters still need to be better processed. The daily rates of water column primary production is generally estimated by integrating the primary production per unit volume over time and depth, but efforts for time integration algorithm have been conducted insufficiently. In this study a mathematical equation evaluating daily primary production integrated over time of a day is proposed and the effectiveness of the model is tested on Saemangeum Lake. The daily primary productions computed with the proposed equation were nearly the same with the results numerically integrated by substituting solar irradiance data. It was suggested that better estimation of primary production would be obtained by using monthly or weekly means of solar irradiance rather than more variable daily data. Because of the vertically heterogenous distribution of phytoplankton, it's hard to integrate the equation over depth to give the daily rates of primary production per unit area of water surface. However, the problem would be solved if, after the vertical distribution of phytoplankton was classified into several patterns and reduced to mathematical formula, every composite function of time integrated equation and chlorophyll distribution equation was integrated successfully.

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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Numerical Simulation of Solute Transport in Coastal Areas (해안지역에서의 용존성 물질의 이송확산 거동 수치모의)

  • Kim, Dae-Hong
    • Ecology and Resilient Infrastructure
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    • v.1 no.1
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    • pp.1-7
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    • 2014
  • In this study, a numerical simulation technique for coastal area where wave and current interactions are observed is proposed. Considering the spatial scale of coastal area and the coastal processes such as wave, current, shoaling, wave breaking, and inundation processes, boussinesq equation model is used. A depth-integrated transport model based on the consistent assumption with the boussinesq equation model is used for the prediction of solute transport. To solve the equations, finite volume method with an approximate riemann solver is used. The proposed model is applied to a coastal area and reasonable computational results are obtained.

Development of 2D Depth-Integrated Hydrodynamic and Transport Model Using a Compact Finite Volume Method (Compact Finite Volume Method를 이용한 수심적분형 흐름 및 이송-확산 모형 개발)

  • Kim, Dae-Hong
    • Journal of Korea Water Resources Association
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    • v.45 no.5
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    • pp.473-480
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    • 2012
  • A two-dimensional depth-integrated hydrodynamic and a depth-averaged passive scalar transport models were developed by using a Compact Finite Volume Method (CFVM) which can assure a higher order accuracy. A typical wave current interaction experimental data set was compared with the computed results by the proposed CFVM model, and resonable agreements were observed from the comparisons. One and two dimensional scalar advection tests were conducted, and very close agreements were observed with very little numerical diffusion. Finally, a turbulent mixing simulation was done in an open channel flow, and a reasonable similarity with LES data was observed.

Mathematical Model Identification and Optimal Navigation Control for Automatic Navigation of Underwater Vehicle (수중운동체의 자율운항을 위한 수학모델 확립과 최적운항 제어기법)

  • Kim, Jong-Hwa;Son, Kyeong-Ho;Kong, Gil-Yeong;Lee, Seung-Geon
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.11a
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    • pp.216-217
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    • 2005
  • This paper presents an integrated navagation control concept for underwater vehicles under high speed navigation circumstance. First of all, in order to control an underwater vehicle with respect to automatic navigation, an integrated navigation control method is suggested in view of synchronous control for course keeping, diving and depth control. An exact nonlinear model equation with six-degree-of-freedom is derived for control algorithm. To identify various hydrodynamic coefficients of the equation, an experimental approach is introduced and results are demonstrated for MANTA type model.

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Ultimate Stress of Prestressing Steel with Different Reinforcement and Tendon Depth in R.C Beams Strengthened by External Prestressing (외부 프리스트레싱으로 보강된 R.C 보에서 강재량 및 텐던깊이에 따른 프리스트레싱 강재의 극한응력)

  • Park, Sang-Yeol
    • Journal of the Korea Concrete Institute
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    • v.15 no.4
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    • pp.585-593
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    • 2003
  • This study deals with literature review, developing a predicting equation for the ultimate stress of prestressing steel, and experimental test with the parameters affecting the ultimate stress of prestressing steel in reinforced concrete beams strengthened by external prestressing. The ACI predicting equation for the ultimate stress of unbonded prestressing steel is analyzed to develop a new integrated predicting equation. The proposed predicting equation takes rationally the effect of internal reinforcing bars into consideration as a function of prestressing steel depth to neutral depth ratio. In the experimental study, steel reinforced concrete beams strengthened using external prestressing steel are tested with the test parameters having a large effect on the ultimate stress of prestressing steel. The test parameters includes reinforcing bar and external prestressing steel reinforcement ratios, and span to depth ratio. The test results are analyzed to confirm the rationality and applicability of the proposed equation for predicting the ultimate stress of external prestressing steel.

Ultimate Stress of Prestressing CFRP Tendons in PSC Beams Strengthened by External CFRP Prestressing (외부 CFRP 프리스트레싱으로 보강된 PSC 보에서 CFRP 텐던의 극한응력)

  • Park, Sang-Yeol;Kim, Chang-Hoon;Hong, Seong-Yong
    • Journal of the Korea Concrete Institute
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    • v.19 no.6
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    • pp.735-744
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    • 2007
  • This study deals with literature review, developing a predicting equation for the ultimate stress of prestressing (PS) CFRP, and experimental test with the parameters affecting the ultimate stress of prestressing CFRF in prestressed concrete beams strengthened by external prestressing. The ACI (American Concrete Institute) predicting equation for the ultimate stress of unbonded prestressing CFRP is analyzed to develop a new integrated predicting equation. The proposed predicting equation takes rationally the effect of internal PS steel into consideration as a function of prestressing tendon depth to neutral depth ratio. In the experimental study, prestressed concrete beams strengthened using external prestressing CFRP are tested with the test parameters having a large effect on the ultimate stress of prestressing CFRP. The test parameters includes infernal prestressing steel and external prestressing CFRP tendon reinforcement ratios, and span to depth ratio. The test results are analyzed to confirm the rationality and applicability of the proposed equation for predicting the ultimate stress of external prestressing CFRP.

Development of a Cell-based Long-term Hydrologic Model Using Geographic Information System(I) -Cell-based Long-term Hydrologic Modeling- (지리정보시스템을 이용한 장기유출모형의 개발(I) -장기유출의 격자 모형화-)

  • 최진용;정하우
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.1
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    • pp.64-74
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    • 1997
  • A CELTHYM(CEll-based Long-term HYdrologic Model), a pre-processor and a post-processor that can be integrated with geographic information system(GIS) were developed to predict the stream flow from the small agricultural watershed on the daily basis. The CELTHYM calculates the direct runoff from a grid using SCS curve number method and then sum up all of cells with respect to a sub-catchment area belonged to a stream grid and integrated to an outlet. Base flow of a watershed outlet was computed by integrating of the base flow of each stream grid that was averaged the sub-catchment deep-percolation and calculated with the release rate. Two kind of water budget equation were used to compute the water balance in a grid that was classified into not paddy field and paddy field. One of the two equation is a soil water balance equation to account the soil moisture of the upland, forest and excluding paddy field grid. The other is a paddy water balance equation for the paddy field, calculating the ponding depth, the effective rainfall, the deep percolation and the evapotranspiration.

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A Sigma-Coordinate Scalar Transport Model Coupled with Boussinesq Equations (${\sigma}$-좌표계 기반의 혼합 모형과 Boussinesq Equations 모형의 연계)

  • Kim, Dae-Hong;Lynett, Patrick
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.218-222
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    • 2010
  • 본 연구에서는 ${\sigma}$-좌표계를 기반으로 하는 3차원의 이송확산 모형과 depth-integrated eddy simulation 모형을 결합한 효율적인 3차원 근역 (near-field) 해석모형을 제시하였다. 흐름 모형은 Boussinesq-type equations과 stochastic backscatter model을 기본으로 하고 있다. 이 흐름 모형은 수면의 변화와 바닥으로부터 발생하는 전단력과 파랑의 유동으로부터 발행하는 수심방향의 유속분포를 예측할 수 있다. 이와 같은 흐름 정보를 3차원 ${\sigma}$-좌표계의 이송확산모형에 제공하고 scalar의 이송과 확산에 대한 거동을 계산한다. 기본적인 이송과 이송-확산에 대한 검증 및 개수로에서 정량적 검증과 정성적 검증을 수행하였다. 전반적으로 타당한 결과가 도출되어 모형의 적합성이 있음을 확인하였다.

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A Numerical Model for Cohesive Suspended Load Movement (점착성 부유사 이동에 관한 수치모형)

  • 안수한;이상화
    • Water for future
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    • v.23 no.1
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    • pp.119-127
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    • 1990
  • The concentration of cohesive suspended sediment is determined by the circulation of water and the material dispersion. The equations of the two-dimensional, depth-integrated dispersive transport are the Reynolds equation, continuity equation, and advection-dispersion equation based on the Fick's law. A finite difference method has been applied to two models of circulation and dispersion transport. The circulation model is solved by the explicit scheme and the dispersion transport model is solved by multi-operational scheme. It is investigated wheter advective terms are included when the equation of circulation is applied to the model. For advection-dispersion equation, it was also investigated about variations of suspended sediment concentration with respect to the critical shear stresses.

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