• 제목/요약/키워드: Rectangular Grid System

검색결과 71건 처리시간 0.111초

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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    • 제15권9호
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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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선수부 갑판침입수의 수치시뮬레이션에 대한 기초연구 (A Fundamental Study for the Numerical Simulation Method of Green Water Occurrence on Bow Deck)

  • 정광열;이영길;김남철
    • 대한조선학회논문집
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    • 제47권2호
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    • pp.188-195
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    • 2010
  • Green water load is an important parameter to be considered in designing a modern ship or offshore structures like FPSO and FSRU. In this research, a numerical simulation method for green water phenomenon is introduced. The Navier-Stokes equations and the continuity equation are used as governing equations. The equations are calculated using Finite Difference Method(FDM) in rectangular staggered grid system. To increase the numerical accuracy near the body, the Cartesian cut cell method is employed. The nonlinear free-surface during green water incident is defined by Marker-density method. The green waters on a box in regular waves are simulated. The simulation results are compared with other experimental and computational results for verification. To check the applicability to moving ship, the green water of the ship which is towed by uniform force in regular wave, is simulated. The ship is set free to heave and to surge.

사각 격자를 이용한 단열-다공암반내 분리 단열망 구축기법에 대한 연구 (A Study on the Constructing Discrete Fracture Network in Fractured-Porous Medium with Rectangular Grid)

  • 한지웅;황용수;강철형
    • 방사성폐기물학회지
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    • 제4권1호
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    • pp.9-15
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    • 2006
  • 결정질 암반에 위치한 가상의 방사성폐기물처분장에 대한 정확한 안전성 평가를 수행하기 위해서는 다공암반으로 대표되는 공학방벽 및 결정질 암반으로 대표되는 자연방벽을 모두 고려한 매질에서의 물질 거동 특성을 정확하게 모사하는 것이 중요하다. 본 논문에서는 단열-다공암반내 유동 및 물질전달의 정확한 해석을 위한 연결망 구축방법에 대하여 서술하였다. 실제 단열암반을 사실적으로 모사하기 위하여 단열 물성자료는 확률밀도함수를 이용하여 생성하였다. 2차원의 사각격자로 모사된 단열암반과 육면체로 모사된 다공암반간 교차선의 원활한 검색을 위하여 단열암반과 연결전 다공암반의 교차면에 가상의 단열암반을 추가적으로 도입하였다. 전체유동경로를 구성하기 저하여 생성된 단열들 간의 교차선을 효율적으로 검색할 수 있는 방법 및 단열암반 및 단열-다공암반간의 연결도를 신속히 확인하는 알고리즘을 제안하였다. 이러한 방법들은 추후 방사성폐기물처분장에서의 단열-다공 암반을 통한 핵종 이동 특성을 모사할 수 있는 수치코드 개발에 많은 도움을 줄 것으로 사료된다.

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슬로싱 충격현상 해석을 위한 모형실험과 수치해석 적용에 관한 비교 연구: PIV vs. CFD (Comparative Study on Sloshing Impact Flows between PIV and CFD)

  • 양경규;김지응;김상엽;김용환
    • 한국해양공학회지
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    • 제29권2호
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    • pp.154-162
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    • 2015
  • In this study, experimental and numerical methods were applied to observe sloshing impact phenomena. A two-dimensional rectangular tank filled with water and air was considered with a specific excitation condition that induced a hydrodynamic impact without an air pocket at the top corner of the tank. High-speed cameras and a pressure measurement system were synchronized, and a particle image velocimetry (PIV) technique was applied to measure the velocity field and corresponding pressure. The experimental condition was implemented in a numerical computation to solve incompressible two-phase flows using a Cartesian-grid method. The discretized solution was obtained using the finite difference and constraint-interpolation-profile (CIP) methods, which adopt a fractional step scheme for coupling the pressure and velocity. The tangent of the hyperbola for interface capturing (THINC) scheme was used with the weighed line interface calculation (WLIC) method to capture the interface between the air and water. The calculated impact pressures and velocity fields were compared with experimental data, and the relationship between the local velocity and pressure was investigated based on the computational results.

Boundary-Fitted 좌표계로 변환한 2차원조석모형의 매개변수 동정 (The Parameter Identification of Tidal Model on The Boundary-Fitted Coordinates)

  • 김경수;이재형
    • 물과 미래
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    • 제23권3호
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    • pp.319-328
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    • 1990
  • 2차원 하구모델의 매개변수 동정을 BF좌표계로 변환된 ADI-FDM출력 수치모형을 사용하여 수행하였다. 모형에서 기본 방정식을 동수역학식과 수송방정식이 복합된 방정식을 사용하였다. Thompson식이 지배방정식을 사각평면으로 변환 하는데 사용도이ㅓㅆ으며 Thompson의 Elliptic 격자발생기법이 BF 좌표계에서 곡선격자망을 발생하는데 사용되었다. 지배방정식에서 동정될 매개변수는 마찰계수와 분산 정수이다. 출력수치모형은 BF좌표계에서 조석평균 염도 모형이 사용되었다. 최적화 기법으로 영향계수 알고리즘을 적용하였다. 또한 Lumped 모형이 동정에 고려 되었다. 본 연구는 새로운 출력 수치모형이 하구염도 모형의 매개변수 동정에 있어 유용한가를 검토 하는데 중점을 두었다. 제안된 기법은 간단한 가상모형에 실험적인 적용을 통하여 검토되었다. 검토한 결과는 제안된 기법이 하구모형에서 매개변수 동정시 도입될 수 있음을 보여주었다.

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한국의 새로운 단일원점 평면직각좌표계 설정 (Establishment of New Single Origin Plane Rectangular Coordinate System in Korea)

  • 김태우;윤홍식;이동하;김건수;고영창
    • 한국측량학회지
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    • 제31권3호
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    • pp.183-192
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    • 2013
  • 최근 전 세계적으로 국가별, 기관별, 목적별로 다양하게 구축된 공간정보를 단일한 위치기반으로 하는 데이터로 통합함으로써 각 자료 간 연계성 및 활용성을 높이고 있다. 본 연구에서는 새로운 국가측지기준의 도입에 따른 위치기준의 변화와 공간정보 분야의 seamless 데이터 서비스 요구에 효율적으로 대응할 수 있도록 새로운 국가 단일원점 평면직각좌표에 대한 연구를 수행하였다. 이를 위해 한반도 전역을 투영영역으로 설정하고 투영영역 내 발생하는 투영왜곡을 분석함으로써 이를 균질화 및 최소화할 수 있는 투영파라미터를 정의하였으며, 이에 대한 표준화 및 국제기구 등록방안을 제시하였다. 연구의 결과, 국가 단일원점 평면직각좌표계를 위한 최적의 투영식은 Hooijberg 투영식으로 분석되었으며, TM 투영을 위한 5가지 투영파라미터는 위도(${\Phi}$) $38^{\circ}N$, 경도(${\lambda}$) $128^{\circ}E$, 축척계수(K) 0.99924로 각각 분석되었다. 또한, 투영원점(${\Phi}$, ${\lambda}$)에 대한 가수값(false Northing & Easting)은 국가지점번호제도의 도입을 고려하여 북쪽방향 700,000m, 동쪽방향 400,000m로 각각 설정하는 것이 적합하였다.

슬로싱 해석을 위한 CCUP 기반 시뮬레이션 기술 개발 (DEVELOPMENT OF A NUMERICAL SIMULATION METHOD FOR THE ANALYSIS OF SLOSHING PROBLEMS BASED ON CCUP SCHEME)

  • 박종천;황성철;정세민
    • 한국전산유체공학회지
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    • 제16권2호
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    • pp.1-10
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    • 2011
  • A new computational program, which is based on the CIP/CCUP(Constraint Interpolation Profile/CIP Combined Unified Procedure) method, has been developed to numerically analyse sloshing phenomena dealt as multiphase-flow problems. For the convection terms of Navier-Stokes equations, the RCIP(Rational function CIP) method was adopted and the THINC-WLIC(Tangent of Hyperbola for Interface Capturing-Weighted Line Interface Calculation) method was used to capture the air/water interface. To validate the present numerical method, two-dimensional dam-breaking and sloshing problems in a rectangular tank were solved by the developed method in a stationary Cartesian grid system. In the case of sloshing problems, simulations by using a improved MPS(Moving Particle Simulation) method, which is named as PNU-MPS(Pusan National University-MPS), were also carried out. The computational results are compared with those of experiments and most of the comparisons are reasonably good.

2차원 Beach에서 쇄파의 시뮬레이션을 위한 수치계산기법의 비교 (Comparison of Numerical Methods for Two-dimensional Wave Breaker on a Plane Beach of Constant Slope)

  • 정광열;이영길
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 춘계 학술대회논문집
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    • pp.119-125
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    • 2004
  • Unsteady nonlinear wave motions on the free surface over a plane beach of constant slope are numerically simulated using a finite difference method in rectangular grid system. Two-dimensional Navier-Stokes equations and the continuity equation are used for the computations. Irregular leg lengths and stars are employed near the boundaries of body and free surface to satisfy the boundary conditions. Also, the free surface which consists of markers or segments is determined every time step with the satisfaction of kinematic and dynamic free surface conditions. Moreover, marker-density method is also adopted to allow plunging jets impinging on the free surface. The second-order Stokes wave theory and solitary wave theory are employed for the generation of waves on the inflow boundary. For the simulation of wave breaking phenomena, the computations are carried out with the plane beach of constant slope in surf zone. The results are compared with each other. The marker-density method is better then the hybrid method. Also they are compared with other existing experimental results. The Agreement between the experimental data and the computation results is good.

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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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    • 제15권8호
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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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A Numerical Solution. Method for Two-dimensional Nonlinear Water Waves on a Plane Beach of Constant Slope

  • Lee, Young-Gill;Heo, Jae-Kyung;Jeong, Kwang-Leol;Kim, Kang-Sin
    • Journal of Ship and Ocean Technology
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    • 제8권2호
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    • pp.61-69
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    • 2004
  • Unsteady nonlinear wave motions on the free surface over a plane beach of constant slope are numerically simulated using a finite difference method in rectangular grid system. Two-dimensional Navier-Stokes equations and the continuity equation are used for the computations. Irregular leg lengths and stars are employed near the boundaries of body and free surface to satisfy the boundary conditions. Also, the free surface which consists of markers or segments is determined every time step with the satisfaction of kinematic and dynamic free surface conditions. Moreover, marker-density method is also adopted to allow plunging jets impinging on the free surface. The second-order Stokes wave theory is employed for the generation of waves on the inflow boundary. For the simulation of wave breaking phenomena, the computations are carried out with the plane beach of constant slope in surf zone. The results are compared with other existing experimental results. Agreement between the experimental data and the computation results is good.