• Title/Summary/Keyword: Method Of Characteristics (MOC)

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Back Analysis for Parameter Estimation in Riverbank Filtration (강변여과 대수층의 매개변수 추정을 위한 역해석)

  • Park, Seo-Hwa;Lee, Sang-Il
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.1476-1480
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    • 2005
  • 본 연구에서는 매개변수를 추정하는 방법 중 하나인 역해석을 이용하여 강변여과 지역의 투수량계수를 추정하였다. 최적화 기법으로 BFGS(Broyden-Fletcher-Goldfarb-Shanno)를, 정해석 프로그램으로 지하수위와 오염물 거동을 2차원적으로 모의할 수 있는 MOC(Method of Characteristics)을 이용하여 포트란으로 구성된 새로운 프로그램을 개발하였으며 프로그램의 적용성을 검증하기 위해 실제 강변여과를 하고 있는 경남 창원시 대산면의 8개월간 관측 지하수위를 이용하여 그 지역의 투수량계수를 추정하였다.

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Cell Based CMFD Formulation for Acceleration of Whole-core Method of Characteristics Calculations

  • Cho, Jin-Young;Joo, Han-Gyu;Kim, Kang-Seog;Zee, Sung-Quun
    • Nuclear Engineering and Technology
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    • v.34 no.3
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    • pp.250-258
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    • 2002
  • This Paper is to apply the well-established coarse mesh finite difference(CMFD) method to the method of characteristics(MOC) transport calculation as an acceleration scheme. The CMFD problem is first formulated at the pin-cell level with the multi-group structure To solve the cell- based multi-group CMFD problem efficiently, a two-group CMFD formulation is also derived from the multi-group CMFD formulation. The performance of the CMFD acceleration is examined for three test problems with different sizes including a realistic quarter core PWR problem. The CMFD formulation provides a significant reduction in the number of ray tracings and thus only about 9 ray tracing iterations are enough for the realistic problem. In computing time, the CMFD accelerated case is about two or three times faster than the coarse-mesh rebalancing(CMR) accelerated case.

Multi-fidelity modeling and analysis of a pressurized vessel-pipe-safety valve system based on MOC and surrogate modeling methods

  • Xueguan Song;Qingye Li;Fuwen Liu;Weihao Zhou;Chaoyong Zong
    • Nuclear Engineering and Technology
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    • v.55 no.8
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    • pp.3088-3101
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    • 2023
  • A pressurized vessel-pipe-safety valve (PVPSV) combination is a commonly used configuration in nuclear power plants, and a good numerical model is essential for the system design, sizing and performance optimization. However, owing to the large-scale and cross-scale features, it is still a challenge to build a system level numerical model with both high accuracy and efficiency. To overcome this, a novel system level modeling method which can synthesize the advantages of various models is proposed in this paper. For system modeling, the analytical approach, the method of characteristics (MOC) and the surrogate model approach are respectively adopted to predict the dynamics of the pressure vessel, the connecting pipe and the safety valve, and different models are connected through data interfaces. With this system model, dynamic simulations were carried out and both the stable and the unstable system responses were obtained. For the model verification purpose, the simulation results were compared with those obtained from experiments and full CFD simulations. A good agreement and a better efficiency were obtained, verifying the ability of the model and the feasibility of the modeling method proposed in this paper.

The pulsating pressure in the intake and exhaust manifold of a single cylinder engine by the various of engine revolutions

  • Chung, Han-Shik;Choi, Seuk-Cheun;Jong, Hyo-Min;Lee, Chi-Woo;Kim, Chi-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.1
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    • pp.75-82
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    • 2004
  • In this research, a computer analysis has been developed for predicting the Pipe pressure of the intake and exhaust manifold in a small single cylinder engine. To get the boundary conditions for a numerical analysis one dimensional and unsteady gas dynamic calculation is performed by using the MOC(Method Of Characteristics). The main numerical parameters are engine revolutions. to calculate the Pulsating flow which the intake and exhaust valves are working. The distributions of the exhaust pipe pressures were influenced strongly to the cylinder pressures and the shapes of exhaust pressure variation were similar to the Inside of cylinder pressure As the engine revolutions are increased. the intake pressure was lower than ambient pressure. The amplitude of exhaust pressure had increased and the phase of cylinder pressure $P_c$ is delayed and the amplitude of cylinder pressure were increased.

Mathmatical Analysis of Water Hamer Generated in an Initially Empty Piping with a Sudden Contraction Subject to Rapid Filling (빈관의 급속한 채움에 의한 관단면의 급축소 부분에서의 수격작용)

  • 우효섭;이삼희
    • Proceedings of the Korea Water Resources Association Conference
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    • 1989.07a
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    • pp.133-143
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    • 1989
  • An analytical equation was formulated using the continuity, momentum, and energy equatoins for the trensients generated in an initially empty piping with a sudden contraction subject to rapid filling with liquid. Also, two mathmatical models, "MOC" and "RCT", were applied to this particular pipping to reveal that the rigid column method is less applicable than the method of characteristics to the piping.

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Mathematical Analysis of Water Hammer Generated in an Initially Empty Piping witha Sudden Contraction Subhect to Rapid Filling (빈관의 급속한 채움에 의한 관단명의 급축소 부분에서의 수격작용)

  • 우효섭;이삼희
    • Water for future
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    • v.22 no.4
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    • pp.435-440
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    • 1989
  • An analytical equation was formulated using the continuity, momentum, and energy equations for the trensients generated in an initially empty piping with a sudden contraction subject to rapid filling with liquid. Also, two mathematical models, MOC and RCT were applied to this particular piping to reveal that the rigid column method is less applicable than the method of characteristics to the piping.

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Modeling and Simulation for PIG Flow Control in Natural Gas Pipeline

  • Nguyen, Tan-Tien;Kim, Sang-Bong;Yoo, Hui-Ryong;Park, Yong-Woo
    • Journal of Mechanical Science and Technology
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    • v.15 no.8
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    • pp.1165-1173
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    • 2001
  • This paper deals with dynamic analysis of Pipeline Inspection Gauge (PIG) flow control in natural gas pipelines. The dynamic behaviour of PIG depends on the pressure differential generated by injected gas flow behind the tail of the PIG and expelled gas flow in front of its nose. To analyze dynamic behaviour characteristics (e.g. gas flow, the PIG position and velocity) mathematical models are derived. Tow types of nonlinear hyperbolic partial differential equations are developed for unsteady flow analysis of the PIG driving and expelled gas. Also, a non-homogeneous differential equation for dynamic analysis of the PIG is given. The nonlinear equations are solved by method of characteristics (MOC) with a regular rectangular grid under appropriate initial and boundary conditions. Runge-Kutta method is used for solving the steady flow equations to get the initial flow values and for solving the dynamic equation of the PIG. The upstream and downstream regions are divided into a number of elements of equal length. The sampling time and distance are chosen under Courant-Friedrich-Lewy (CFL) restriction. Simulation is performed with a pipeline segment in the Korea gas corporation (KOGAS) low pressure system. Ueijungboo-Sangye line. The simulation results show that the derived mathematical models and the proposed computational scheme are effective for estimating the position and velocity of the PIG with a given operational condition of pipeline.

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Modelling and Simulation for PIG Flow Control in Natural Gas Pipeline

  • Nguyen, Tan-Tien;Yoo, Hui-Ryong;Park, Yong-Woo;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.448-448
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    • 2000
  • This paper deals with dynamic behaviour analysis for pipeline inspection gauge (PIG) flow control in natural gas pipeline. The dynamic behaviour of the PIG is depending on the different Pressure between the rear and nose parts, which is generated by injected gas flow behind PIG's tail and expelled gas flow in front of its nose. To analyze the dynamic behaviour characteristics such as gas flow in pipeline, and the PIG's position and velocity, mathematical model is derived as two types of a nonlinear hyperbolic partial differential equation for unsteady flow analysis of the PIG driving and expelled gas, and nonhomogeneous differential equation for dynamic analysis of PIG. The nonlinear equation is solved by method of characteristics (MOC) with the regular rectangular grid under appropriate initial and boundary conditions. The Runge-Kuta method is used when we solve the steady flow equations to get initial flow values and the dynamic equation of PIG. The gas upstream and downstream of PIG are divided into a number of elements of equal length. The sampling time and distance are chosen under Courant-Friedrich-Lewy (CFL) restriction. The simulation is performed with a pipeline segment in the Korea Gas Corporation (KOGAS) low pressure system, Ueijungboo-Sangye line. The simulation results show us that the derived mathematical model and the proposed computational scheme are effective for estimating the position and velocity of PIG with different operational conditions of pipeline.

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Modeling and Simulation for PIG with Bypass Flow Control in Natural Gas Pipeline

  • Nguyen, Tan-Tien;Kim, Sang-Bong;Yoo, Hui-Ryong;Park, Yong-Woo
    • Journal of Mechanical Science and Technology
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    • v.15 no.9
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    • pp.1302-1310
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    • 2001
  • This paper introduces modeling and simulation results for pipeline inspection gauge (PIG) with bypass flow control in natural gas pipeline. The dynamic behaviour of the PIG depends on the different pressure across its body and the bypass flow through it. The system dynamics includes: dynamics of driving gas flow behind the PIG, dynamics of expelled gas in front of the PIG, dynamics of bypass flow, and dynamics of the PIG. The bypass flow across the PIG is treated as incompressible flow with the assumption of its Mach number smaller than 0.45. The governing nonlinear hyperbolic partial differential equations for unsteady gas flows are solved by method of characteristics (MOC) with the regular rectangular grid under appropriate initial and boundary conditions. The Runge-Kuta method is used for solving the steady flow equations to get initial flow values and the dynamic equation of the PIG. The sampling time and distance are chosen under Courant-Friedrich-Lewy (CFL) restriction. The simulation is performed with a pipeline segment in the Korea Gas Corporation (KOGAS) low pressure system, Ueijungboo-Sangye line. Simulation results show us that the derived mathematical model and the proposed computational scheme are effective for estimating the position and velocity of the PIG with bypass flow under given operational conditions of pipeline.

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Case studies for solving the Saint-Venant equations using the method of characteristics: pipeline hydraulic transients and discharge propagation

  • Barros, Regina Mambeli;Filho, Geraldo Lucio Tiago;dos Santos, Ivan Felipe Silva;da Silva, Fernando das Gracas Braga
    • International Journal of Fluid Machinery and Systems
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    • v.8 no.1
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    • pp.55-62
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    • 2015
  • This study aims to present a hydraulic transitory study as MOC applications for solving the Saint-Venant equations in two case studies: 1) in a penstock of a small hydropower system as a simple pipeline in the case of valve-closure in the downstream boundary with a reservoir in the upstream boundary; and 2) for discharge propagation into a channel by velocity and depth of the flow channel along space evaluation. The proposed methodology by Chaudry [5] concerning the development of hydrodynamic models was used. The obtained results for first and second case study has been confirmed that MOC numerical approach is useful for several engineering purposes, including cases of hydraulic transients and discharge propagation in hydraulic systems.