• Title/Summary/Keyword: 근사 해법

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2D Numerical Simulations for Shallow-water Flows in the Channel with a Side Weir (측면 위어가 있는 수로의 천수 흐름에 대한 2차원 수치모의)

  • Hwang, Seung-Yong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.337-337
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    • 2015
  • 홍수 저감, 생태계 복원, 위락 등 다양한 목적의 충족을 위해 강변에 저류지, 즉 다목적 유수지(detention basin)를 조성하는 사례가 나타나고 있다. 하천에서 홍수의 발생으로 수위가 어떤 기준보다 높아지면, 흐름의 일부를 돌려 저류지로 보냄으로써 본류의 부담을 덜 수 있다. 이때, 흐름의 분기를 위해 설치되는 하천구조물 중 하나가 측면 위어(side weir) 또는 횡월류 위어(side discharge/overflow weir)이다. 하천의 계획과 설계에서 위어가 적용될 때, 위어에 대한 수위-유량 관계, 즉 그 형식과 제원에 적합한 유량계수(discharge coefficient)의 결정이 관건이 된다. 일반적인 위어와 달리 흐름 양상이 복잡한 측면 위어의 경우, 이론과 실제의 괴리가 아직까지 해소되지 않아 실물 또는 3차원 수치 모형을 이용한 시험으로 수위-유량 관계를 수립할 필요가 있다. 이렇게 결정된 수위-유량 관계는 1차원 또는 수심적분 2차원 모형의 내부 또는 외부 경계로 사용되며, 본류의 수위 증감에 따른 측면 위어의 횡월류량을 통해 저류지의 홍수 조절 능력을 평가할 수 있다. 이 연구에서는, 측면 위어의 수위-유량 관계가 알려지지 않더라도, 저류지에 의한 홍수 조절 효과를 평가할 수 있는 2차원 수치모의에 대해 검토하였다. 수치해법으로서 2차원 천수방정식에 대해 유한체적법을 적용하고, 흐름률(flux)의 정확한 계산을 위해 근사 Riemann 해법을 도입하였다. 먼저, 측면 위어가 없는 실험 조건에 대해 수로 내 한 측선에서 측정된 수위와 유량을 모의 결과와 비교하여 모형을 검증하였다. 이때, 경계조건으로 상류 끝에 측정 유량을, 하류 끝에 측정 수위를 부여하였으며, Manning의 조도계수를 0.014로 설정하였다. 또한, 측면 위어가 설치된 수로에 대해 계산 영역을 340개의 삼각형 격자로 분할하고 측면 위어가 없는 경우와 동일한 조건을 두어 모의하였다. 측면 위어의 하류에 위치한 측선에서 측정치에 대한 평균 제곱근(root mean square) 오차가 수위에 대해 1.9 mm, 유량에 대해 $2.2{\ell}/s$로서 그림과 같이 모의 결과는 실험의 그것과 잘 일치하였다. 이로써, 측면 위어에 대한 수위-유량 관계의 수립을 위한 실물 모형 시험 없이 수심적분 2차원 수치모의를 통해 저류지의 홍수 조절 효과를 평가할 수 있음이 확인되었다.

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Stable Anisotropic Freezing Modeling Technique Using the Interaction between IISPH Fluids and Ice Particles (안정적이고 이방성한 빙결 모델링을 위한 암시적 비압축성 유체와 얼음 입자간의 상호작용 기법)

  • Kim, Jong-Hyun
    • Journal of the Korea Computer Graphics Society
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    • v.26 no.5
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    • pp.1-13
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    • 2020
  • In this paper, we propose a new method to stable simulation the directional ice shape by coupling of freezing solver and viscous water flow. The proposed ice modeling framework considers viscous fluid flow in the direction of ice growth, which is important in freezing simulation. The water simulation solution uses the method of applying a new viscous technique to the IISPH(Implicit incompressible SPH) simulation, and the ice direction and the glaze effect use the proposed anisotropic freezing solution. The condition in which water particles change state to ice particles is calculated as a function of humidity and new energy with water flow. Humidity approximates a virtual water film on the surface of the object, and fluid flow is incorporated into our anisotropic freezing solution to guide the growth direction of ice. As a result, the results of the glaze and directional freezing simulations are shown stably according to the flow direction of viscous water.

Programming of Beam/Column Analytical Process for Composite Wall Panels (냉간성형강 스터드 합성벽 패널의 보/기둥 해석기법의 전산화)

  • Lee, Young Ki
    • Journal of Korean Society of Steel Construction
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    • v.17 no.1 s.74
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    • pp.45-52
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    • 2005
  • The object of this study was a cold-formed steel wall stud panel sheathed by gypsum boards. In the beam-analysis, the panel was treated as a simple beam with a uniform lateral loading. The deflections were calculated by considering the primary factors that reduced the stiffness of the panel. In the column-analysis, the panel was treated as a bearing wall with an axial load. By using an energy method, nominal axial strength could be evaluated by considering both flexural buckling and torsional-flexural buckling. All calculations were programmed and compared with the results of the experiment. In the beam-analysis, experimental deflections were close to theoretical deflections. In the column-analysis, the experimental values were also close to theoretical values in axial strength.

Development of Tracking Method and MPPT Controller of Photovoltaic System (태양광 발전 시스템의 추적식 및 MPPT 제어기 개발)

  • Jung, Dong-Hwa;Choi, Jung-Sik;Ko, Jae-Seop
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.8
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    • pp.54-63
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    • 2007
  • This paper is proposed a novel method that computed approximately maximum power of photovoltaic system and solar tracking method. Proposed novel is linear reoriented coordinates method(LRCM), this paper is proposed new mathematical dynamic model using LRMC and DC dynamic equation. LRCM has the advantage that is decreased calculating time, decides optimal voltage and maximum power that generates continually. Furthermore solar tracking method is improved over 50[%] photovoltaic efficiency than fixed method. This paper is proposed MPPT using LRCM and solar tracking method using program method that is adequate domestic conditions, prove verify of proposed method through experiment.

An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1950-1963
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    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

An Iterative Linear Approximation Algorithm for a Unified Model of Traffic Assignment and Line Planning in Railway Networks (통행배정-노선계획 통합 모형을 위한 선형 근사화 알고리듬 개발)

  • Park, Bum Hwan
    • Journal of the Korean Society for Railway
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    • v.17 no.2
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    • pp.140-147
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    • 2014
  • Line planning is an important step to determine the optimal frequencies of trains given the forecasted demand for each train type. The main input data for line planning is the leg traffic demand which can be derived using suitable traffic assignment models. However most assignment models require a line plan, in other words, train frequencies or headways, so that inconsistent results just by the procedural approach to find an optimal line plan after determining leg traffic can be avoided. This paper suggests a unified model that can consider the traffic assignment and line planning, simultaneously. We further provide an elaborated approximation algorithm and, finally, provide experimental results determined for the Korean railway network.

Comparison of Approximation and Rotordynamics Solutions for Design of a High Speed Air Spindle (고속 공기 스핀들 설계를 위한 근사해석과 회전체동역학의 비교)

  • Lee, Jae Hyeok;Park, Sang-Shin
    • Tribology and Lubricants
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    • v.35 no.5
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    • pp.310-316
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    • 2019
  • This paper presents two methods for designing a high-speed air spindle operated over the rotational speed of 50,000 rpm. The first method is an approximate method, which assumes a symmetric spindle shape even though it is not symmetric in reality. The second is an analysis of rotordynamics using beam and solid models. The approximate method can be used to calculate the bearing load capacities, stiffness and damping coefficients, stability of the shaft system, and response of the forced excitation from the unbalanced mass. Designers can use this method to determine the dimensions of the desired spindle at the first stage of the design. The more detailed behavior of the spindle can be calculated using the rotordynamics theory using beam and solid models based on the Finite Element Method. In this paper, a spindle, with two air bearings, one motor at the end, and two air thrust bearings, is newly developed. The solutions from the two rotordynamics theories are compared with the solution obtained using the approximate method. The three calculations are in agreement, and the procedure for the design of a spindle system, supported on the externally pressurized air bearings, ispresented and discussed.

Importance Sampling Technique for System Reliability Analysis of Bridge Structures (교량구조의 체계 신뢰성 해석을 위한 중요도 표본추출 기법)

  • 조효남;김인섭
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.119-129
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    • 1991
  • This study is directed for the development of an efficient Importance Sampling Technique for system reliability analysis of bridge structures. Many methods have been proposed for structural reliability assessment such as the First-order Second-Moment Method, the Advanced Second-Moment Method, Monte Carlo Simulation, etc. The Importance Sampling Technique can be employed to obtain accurate estimates for the system reliability with reasonable computation effort. Based on the results of example analysis, it may be concluded that Importance Sampling Technique is a very effective tool for the system reliability analysis.

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A Heuristic Algorithm for Maximum Origin-Destination Flow Path in the Transportation Network (수송 네트워크에서 최대 물동량 경로문제의 근사해법)

  • Sung, Ki-Seok;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.2
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    • pp.91-98
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    • 1990
  • This paper studies a heuristic method for the Maximum Origin-Destination Flow Path (MODFP) in an acyclic transportation network. We construct a mathematical formulation for finding the MODFP. Then by applying Benders' partitioning method, we generate two subproblems which should be solved in turn so that they may give an optimal solution. We solve one subproblem by an optimal seeking algorithm and the other by a hueristic method. so that, we finally obtain a good solution. The computational complexity of calculating the optimal solution of the first subproblem is 0(mn) and that of calculating the heuristic solution of the other subproblem is $0(n^2).$ From the computational experiments, we estimated the performance of the heuristic method as being 99.3% and the computing time relative to optimal algorithm as being 28.76%.

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A ${\frac{1}{3}}$-Approximation Algorithm for the Order Consolidation Problem (주문집약문제에 대한 ${\frac{1}{3}}$-근사해법)

  • Myung, Young-Soo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.42 no.1
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    • pp.43-52
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    • 2017
  • We consider the order consolidation problem that arises in production systems where customer orders are processed in batches. The problem involves maximizing the number of batches while satisfying the following conditions: (i) the total quantity processed in each batch must be above a prescribed level; (ii) the quantity in an order can be split and processed in more than one batches; (iii) each batch can include up to two different orders but can do so only when the two orders are compatible pair. This problem is known to be NP-hard and max-SNP hard. In this study, we develop an approximation algorithm with factor 1/3.