• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.857-871
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• 2022

In this work, we formulated a mathematical model for divorce in marriage and extended in to an optimal control model. Firstly, we qualitatively established the model positivity and boundedness. Also we saw sensitivity analysis of the model and identified the positive and negative indices parameters. An optimal control model were developed by incorporating three time dependent control strategies (couple relationship education, reducing getting married too young & consulting separators to renew their marriage) on the deterministic model. The Pontryagin's maximum principle were used for the derivation of necessary conditions of the optimal control problem. Finally, with Newton's forward and backward sweep method numerical simulation were performed on optimality system by considering four integrated strategies. So that we reached to a result that using all three strategies simultaneously (the strategy D) is an optimal control in order to effectively control marriage divorce over a specified period of time. From this we conclude that, policymakers and stakeholders should use the indicated control strategy at a time in order to fight against Divorce in a population.

• 한국해안해양공학회지
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• 제19권3호
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• pp.253-265
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• 2007

본 연구의 대상영역인 남해안의 조위 및 조류 수치모의를 위해 조석 보정용 모델인 NAO.99의 기존결과를 외해 개방경계 조건에 적용하였다. 조간대를 고려할 수 있고 $\sigma$-좌표계를 사용하는 EFDC 모형을 이용하여 2 km의 직교 정격자와 $0.5\sim2.0km$의 가변직교격자를 사용한 두 개의 격자망을 구축하였다. 조위수치모의 결과에서 예측값과 국립해양조사원 조위검조소의 관측값이 잘 일치하였으며 남해안 동측에서 서측으로의 조석의 전파를 보여주었다. 검증 결과 격자크기가 감소할수록 조위관측 자료와 더 높은 상관관계를 보였으며 0.5 km의 격자크기로 인한 수치모의 결과가 내만의 협수로 및 지형의 영향을 크게 받는 조류를 다소 과소 산정하는 경향을 가지는 반면에 넓은 수로 및 외해역 자료의 경우에는 2 km 격자로 조류의 적절한 재현이 가능하였다.

• 한국항만학회지
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• 제13권2호
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• pp.399-408
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• 1999

Copeland’s(1985) hyperbolic mild-slope equation including diffraction refraction and reflection in the wave field is used as a governing equation in this study. The result of Maruyama & Kajima(1985) is used to calculate wave direction and that of Watanabe & Maruyama(1986) is used as a energy dissipation formula. Numerical solutions are obtained by the Leap-Frog scheme and compared with Watanabe & Maruyama’s (1984) hydraulic experimental results and numerical simulation results for the detached breakwater. This wave model is applied to a detached breakwater and compared with Watanabe and Maruyama’s (1984) hydraulic model results to check the characteristics of reflected wave field around a detached breakwater. The distribution of wave height and we phase in front of a detached breakwater is more accurate than the Watanabe and Maruyama’s numerical results. The results from our wave model show good agreements with the others and also show nonlinear effects around the detached breakwater. This model is applied to the Gamcheon harbor of pusan. the field observations were carried out at Pusan harbor wave station in 1986-1995 and the results were accepted as a design wave condition in this study. The wave height and wave period was measured by Dong-A university at one station in the Gamcheon harbor in 1996-1997 and used as a calibration criterion. The measured data were used as input data for the numerical simulation and also compared with simulated results. The numerical simulation shows a fairly good results which considering the effect of topographic characteristics and effect of narrow entrance due to two separated breakwaters in Gamcheon harbor. The wave distribution characteristics inside Gamcheon harbor is quite different with the offshore wave direction and wave period.

• 한국수자원학회논문집
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• 제51권10호
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• pp.895-903
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• 2018

국내의 하천에는 많은 수의 보가 설치되어 있으며, 이러한 특성은 국외에서는 흔하지 않은 편이다. 흐름이 보와 같은 구조물을 통과하는 경우에는 불연속 흐름이 발생하게 되며, 수치모의 측면에서는 흐름항과 생성항의 균형 등의 문제로 수치적 안정성에 많은 영향을 준다. 이러한 문제점을 해결하기 위해서 경험식이나 해석기법의 단순화 등에 의존해 왔으며, 최근에 들어서는 보다 정확한 수치해석기법을 이용하려는 연구가 꾸준히 수행되고 있다. K-River는 국내의 하천 특성을 반영하고, 불연속 흐름을 보다 정확히 계산하기 위한 목적으로 개발되었다. K-River의 검증을 위하여 1) 하상융기가 존재하는 개수로 수치실험 모의, 2) 도수현상 실내실험 모의, 3) 실제 하천의 수문 사상 모의를 수행하였다. 모든 모의에서 해석해 및 관측치와 유사한 결과를 모의하여 K-River의 적용성을 검증하였다.

• 한국전산구조공학회논문집
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• 제24권1호
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• pp.79-85
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• 2011

Bridge Weigh-in-Motion(BWIM) 시스템은 중량의 차량이 정상적으로 교량을 주행하는 상태에서 측정된 교량의 응답을 분석하여 교량을 통과한 차량의 중량을 산출하는 시스템으로, 현재 관심지역을 통행하는 차량의 하중분포를 파악하고 이로 부터 도로교의 설계 및 해석을 위한 설계 활하중 모델의 개발이나 교량의 잔존 수명의 예측을 위한 피로하중모델 등의 개발에 활용될 수 있다. 이러한 BWIM 시스템의 개발을 위해 필수적으로 수행되어야 하는 것이 다양한 하중조건에 대한 실물차량 주행시험이다. 이 논문에서는 BWIM 시스템의 개발을 위해 필수적이지만 비용 및 시간이 많이 소요되는 실차량 주행시험을 보완할 수 있는 수치해석 기법을 사용하여 차량동특성 및 주행조건의 변화에 대한 교량응답의 변화를 관찰하고자 하였다. 수치해석의 적절성을 검증하기 위하여 실물차량 주행시험이 수행된 동일한 경우에 대하여 차량주행 시뮬레이션을 수행하였으며, 실측결과와 유사한 해석결과를 얻을 수 있었다. 수치해석에서 고려한 변수는 차량의 주행속도, 차량의 고유진동수, 진입부의 단차크기, 횡방향 주행위치 등이며, 이들 변수의 변화에 대한 교량의 응답의 변화를 분석한 결과, 정확한 BWIM 시스템의 개발을 위해 횡방향 주행위치와 차량 고유진동수의 영향이 고려되어야 함을 확인하였다. 수치시뮬레이션 기법을 사용하여 다양한 조건에 대한 주행데이터를 적은 비용으로 생성할 수 있으므로, 최소한의 실차량 주행시험과 병행하여 다양한 하중조건에 대한 BWIM 알고리즘의 검증이 가능할 것으로 생각된다. 또한 신경망기법을 사용하는 BWIM 시스템의 경우에는 학습자료의 생성에 활용하여 신경망기법을 활용할 때 어려운 점 중 하나인 충분한 양의 신뢰성있는 학습자료 확보에 기여할 수 있을 것으로 생각된다.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2019년도 학술발표회
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• pp.267-267
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• 2019

Driftwood is one of serious problems in a river environment. In several countries, such as Indonesia, Japan, and Italy, the driftwood frequently appears in a river basin, and it can alter the channel bed, flow configuration by wood deposition and jam formation. Therefore, the studies related to driftwood have been actively conducted by many researchers to understand the mechanism of driftwood dynamics. In particular, wood motion by collision is one of the difficult issues in the numerical simulation because the calculation for wood collision requires significantly expensive calculation time due to small time step. Thus, this study conducted the numerical simulation in consideration of the wood motion by water flow and wood collision to understand the wood dynamics in terms of computation. We used the 2D (two-dimensional) depth-averaged velocity model, Nays2DH, which is a Eulerian model to calculate the water flow on the generalized coordinate. A Lagrangian type driftwood model, which expresses the driftwood as connected sphere shape particles, was employed to Nays2DH. In addition, the present study considered root wad effect by using larger diameter for a particle at a head of driftwood. An anisotropic bed friction was considered for the sliding motion dependent on stemwise, streamwise and motion directions. We particularly considered changeable draft at each particle and projection area by an angle between stemwise and flow directions to precisely reproduce the wood motions. The simulation results were compared with experimental results to verify the model. As a result, the simulation results showed good agreement with experimental results. Through this study, it would be expected that this model is a useful tool to predict the driftwood effect in the river flow.

• 유체기계공업학회:학술대회논문집
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• 유체기계공업학회 2002년도 유체기계 연구개발 발표회 논문집
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• pp.264-270
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• 2002

This paper presents roughness effects on flow characteristics and efficiency of multi-stage axial compressor using numerical simulation. which is carried out with a commercially available software, CFX-TASCflow. In this paper, the third of four stages of GE low pressure compressor is considered including me stator and rue rotor. Mixing-plane approach is adopted to model the interface between the stator and the rotor: it is appropriate for steady state simulation. First, a flat plate simulation was performed to validate how exact the numerical simulation predicts the roughness effect for smooth and rough walls. Then GE compressor model was calculated about at each roughness height. Concluding, very small roughness height largely affects the performance of compressor and the increasing rate of loss decrease as roughness height increase.

• Journal of Mechanical Science and Technology
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• 제17권4호
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• pp.606-616
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• 2003

A numerical analysis has been conducted in order to simulate the characteristics of complex flow through linear cascades of high performance turbine blade with/without tip clearance by using a pressure-correction based, generalized 3D incompressible Wavier-Stokes CFD code. The development and generation of horseshoe vortex, passage vortex, leakage vortex, tip vortex within tip clearance, etc. are clearly identified through the present simulation which uses the RNG k-$\varepsilon$ turbulent model with wall function method and a second-order linear upwind scheme for convective terms. The present simulation results are consistent with the generally known tendency that occurs in the blade passage and tip clearance. A 3D model for secondary and leakage flows through turbine cascades with/without tip clearance is also suggested from the present simulation results, including the effects of tip clearance height.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2009년도 제33회 추계학술대회논문집
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• pp.221-224
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• 2009

Since the coupling of cavitation modeling with turbulent flow is the difficulty topic, a numerical simulation for two phase flow remains as one of the challenging issues in the society. This research focuses on the development of numerical code to deal with incompressible two phase flow around conical body combined with cavitation model suggested by Kunz et al. with k-e turbulent model. The simulation results are compared to experimental data to verify the validity of the developed code. The calculation results show very good agreement with experimental observations. Also, the calculation of cavitation in cryogenic fluid is being done by implementing the temperature sensitivity in government equations and it is still in the progress. This code have been being further extended to 3D compressible two phase flow for the study on the fluid dynamics around inducers and impellers in turbo pump system.

• 한국환경과학회지
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• 제11권9호
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• pp.925-931
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• 2002

Land-use types should be included in air pollutant diffusion model because a complex mixture of various land-use patterns with computational grid can make errors in calculation of several parameters. However, the air pollutant diffusion model has generally been treated with a uniform component with land-use type in each mesh because of the complexity of the simulation. This study presents a numerical simulation of the horizontal distribution of $O_3$dry deposition velocity during summertime in Busan metropolitan city. The calculation of the meteorological field was conducted using the land cover data. Simulation has been performed by the following two scenarios : (1) one with current land cover data, and (2) the other with only land and sea for the surface characteristics. The results from each scenario reveals considerable differences on the meteorological fields and these differences can cause changes in the calculation values of $O_3$deposition velocity.