• 제목/요약/키워드: Model equations

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확장형 Boussinesq 방정식의 유한요소모형 개발 (Development of Finite Element Method for the Extended Boussinesq Equations)

  • 우승범;최영광;윤병일
    • 한국해양학회지:바다
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    • 제12권3호
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    • pp.133-141
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    • 2007
  • 장파와 단파의 거동을 동시에 모의할 수 있는 확장형 Boussinesq 방정식에 대한 유한요소모형을 개발하였다. 3차 공간 미분항을 처리하기 위한 추가변수를 도입하고 Galerkin 가중잔차방법을 적용하여 모형을 수립하였으며, 시간적분방법으로 Adams-Bashforth-Moulton Predictor Corrector 기법을 적용하여 비물리적인 수치분산이나 수치소산 현상을 줄일 수 있도록 하였다. 이 개발된 모형을 검증하기 위해 고립파가 전파하는 문제에 적용을 하였다. 개발된 모형을 적용한 결과 이론해 또는 수리실험 결과에 매우 양호한 일치를 보였다.

화학 공정의 편미분 방정식 모델설정과 제어에 관한 연구 (Development of Pprocess Models by Partial Differential Equations and Ccontrol Systems)

  • 최영순;이인범;장근수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.105-107
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    • 1991
  • A chemical process model represented by partial differential equations was studied as one of nonlinear distributed parameter control problems. Using an optimal control theory in the form of maximum principles based on nonlinear integral equations, an algorithm to solve the problem was developed and coded into a computer program.

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실제기체 상태방정식을 이용한 왕복동압축기의 성능해석 (Performance Analysis of a Reciprocating Compressor Using a Real Gas Equation of State)

  • 김정우;김현진;박희용
    • 설비공학논문집
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    • 제4권4호
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    • pp.306-315
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    • 1992
  • This paper addresses performance analysis of a reciprocating compressor. A computer simulation model has been developed to predict and estimate the compressor performance. Instead of using ideal gas equations, real gas equations are used in describing the state of gas. The compressor simulation model consists of a cylinder control volume, suction system and discharge system. Conservation laws of mass and energy are applied to the cylinder section only, The suction and discharge system are described by the Helmholtz resonator modeling. Some of input data required for the simulation have been obtained from experiments. These experimentally obtained input data are effective flow area, effective force area and dynamic characteristics of valves. Simulation results of real gas equations have been compared with those of ideal gas equations. It has been found that the simulation with real gas equations yields lower cylinder temperature and heat transfer compared with those of ideal gas equations. Differences in pressure, mass flowrates, valve motions and gas pulsations are found quite small.

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모형기차의 구동부 설계를 위한 동역학적 성능해석 (Analysis of Dynamic Performance of Model Tranis for Their Drive Train Design)

  • 김석태;윤순형;탁태오
    • 한국정밀공학회지
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    • 제18권3호
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    • pp.99-106
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    • 2001
  • Model trains should have very similar motion characteristics to real trains in order to provide realistic feeling to their operators. Main purpose of dynamic analysis of model trains is to predict velocities in straight and circular tracks and estimate stopping distance after power shut off. Equations of motion for a model train are derived that relates velocity, traction, rolling resistance, and pulling force. Also, energy equations for calculating stopping distance after power shut off are derived. Experiments with model trains are preformed to measure velocity, rolling resistance, slip, and stopping distance. The results are compared with the prediction based on the equations of motion, and they showed good agreement. It can be concluded that the prediction is more accurate when the slip between wheel and rail is accounted for. The analysis procedures can be applied to determining various design factors in model trains.

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열간압연중 압연하중 및 압연동력 예측 모델 (Evaluzation of Model equation Predicting Roll Force and Roll Power during Hot Rolling)

  • 곽우진;황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 제3회 압연심포지엄 논문집 압연기술의 미래개척 (Exploitation of Future Rolling Technologies)
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    • pp.308-312
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    • 1999
  • Developed the model equations which calculate roll force, roll power during hot rolling in real time. The variables which mainly effect on the roll force, roll power are shape factor, reduction, roll diameter, roll velocity, strip inlet temperature, carbon content of strip and strip-roll contact friction coefficient. Among these variables roll diameter, roll velocity, inlet temperature, carbon content and friction coefficient can be excluded in interpolated model equation by introducing equation of die force(F'), power(p') of the frictionless uniform plane strain compression which can be calculated without iteration. At the case of coulomb friction coefficient of 0.3, we evaluated coefficient of polynomial equations of {{{{ { F} over {F' } }}}}, {{{{ { Pf} over {Pd }, { Pd} over {P' } }}}} from the result of finite element analysis using interpolation. It was found that the change of values of {{{{ { F} over {F' }, { P} over {P' } }}}} with the friction coefficient tend to straight line which slope depend only on shape factor. With these properties, developed model equations could be extended to other values of coulomb friction coefficient. To verify developed roll force, roll power model equation we compared the results from these model equation with the results from these model equation with the results from finite element analysis in factory process condition.

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A TWO-DIMENSIONAL FINITE VOLUME MODEL IN NONORTHOGONAL COORDINATE SYSTEM

  • Kim, Chang-Wan;Lee, Bong-Hee;Cho, Yong-Sik;Yoon, Tae-Hoon
    • Water Engineering Research
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    • 제2권3호
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    • pp.151-160
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    • 2001
  • A two-dimensional flow model is newly developed. Two-dimensional shallow-water equations are discretized by the finite volume method. A nonorthogonal coordinate system is then employed. The developed model is applied to simulations of flows in a 180 degree curved bend flow. Numerical prediction are compared to available laboratory measurement. A good agreement is observed.

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임의중도절단자료를 갖는 일반화된 지수회귀모형 (Generalized Exponential Regression Model with Randomly Censored Data)

  • 하일도
    • 한국산업정보학회논문지
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    • 제4권2호
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    • pp.39-43
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    • 1999
  • 임의중도절단자료(randomly censored data)를 갖는 일반화된 지수회귀모헝을 고려하여 이 모형에서 모수를 추정하는 수정된 피선 점수화(modified Fisher scoring)방법을 제안한다. 이를 위해 우도방정식(likelihood equations)이 유도되고 추정알고리즘(estimating algorithm)이 개발된다. 실제의 자료를 통해 제안된 방법을 예증한다.

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Multidimensional Frictional Coupling Effect in the Photoisomerization of trans-Stilbene

  • 곽기정;이상엽;신국조
    • Bulletin of the Korean Chemical Society
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    • 제16권5호
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    • pp.427-432
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    • 1995
  • A model based on two coupled generalized Langevin equations is proposed to investigate the trans-stilbene photoisomerization dynamics. In this model, a system which has two independent coordinates is considered and these two system coordinates are coupled to the same harmonic bath. The direct coupling between the system coordinates is assumed negligible and these two coordinates influence each other through the frictional coupling mediated by solvent molecules. From the Hamiltonian which is equivalent to the coupled generalized Langevin equations, we obtain the transition state theory rate constants of the stilbene photoisomerization. The rates obtained from this model are compared to experimental results in n-alkane solvents.

NUMERICAL MODELING OF NON-CAPACITY MODEL FOR SEDIMENT TRANSPORT BY CENTRAL UPWIND SCHEME

  • S. JELTI;A. CHARHABIL;J. EL GHORDAF
    • Journal of applied mathematics & informatics
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    • 제41권1호
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    • pp.181-192
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    • 2023
  • This work deals with the numerical modeling of dam-break flow over erodible bed. The mathematical model consists of the shallow water equations, the transport diffusion and the bed morphology change equations. The system is solved by central upwind scheme. The obtained results of the resolution of dam-beak problem is presented in order to show the performance of the numerical scheme. Also a comparison of central upwind and Roe schemes is presented.

과도상태 2상유동 해석을 위한 비정렬.비엇갈림 격자 SMAC 알고리즘 (AN EXTENSION OF THE SMAC ALGORITHM FOR THERMAL NON-EQUILIBRIUM TWO-PHASE FLOWS OVER UNSTRUCTURED NON-STAGGERED GRIDS)

  • 박익규;윤한영;조형규;김종태;정재준
    • 한국전산유체공학회지
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    • 제13권3호
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    • pp.51-61
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    • 2008
  • The SMAC (Simplified Marker And Cell) algorithm is extended for an application to thermal non-equilibrium two-phase flows in light water nuclear reactors (LWRs). A two-fluid three-field model is adopted and a multi-dimensional unstructured grid is used for complicated geometries. The phase change and the time derivative terms appearing in the continuity equations are implemented implicitly in a pressure correction equation. The energy equations are decoupled from the momentum equations for faster convergence. The verification of the present numerical method was carried out against a set of test problems which includes the single and the two-phase flows. The results are also compared to those of the semi-implicit ICE method, where the energy equations are coupled with the momentum equation for pressure correction.