• 제목/요약/키워드: Iterative Numerical Calculation

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급수 전개법에 의한 3차원 전자탐사 모델링 (Iterative Series Methods in 3-D EM Modeling)

  • 조인기;용환호;안희윤
    • 지구물리와물리탐사
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    • 제4권3호
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    • pp.70-79
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    • 2001
  • 적분방정식법은 매우 강력한 3차원 전자탐사 모델링 기법이다. 그러나 이 방법은 이상체내의 전기장 계산시 대형 선형방정식의 해를 구해야 하므로 계산시간이 많이 소요된다는 단점이 있다. 특히 3차원 역산의 경우에는 이러한 적분방정식의 단점은 치명적이 될 수밖에 없다. 이상체내의 전기장을 1차장으로 가정하는 통상적인 Born 근사법은 계산이 용이하고 속도가 빠르다는 장점이 있다. 그러나 이 방법은 이상체와 모암간의 전기전도도비가 너무 클 경우에는 정확성에 문제가 있다. 준선형, 준해석 및 확장된 Born 근사는 이상체내의 전기장 계산을 위한 적분방정식을 선형화한 방법으로 적분방정식법에 비하여 계산시간이 빠르고 통상의 Born 근사에 비해서는 정확성이 높은 매우 훌릉한 3차원 전자탐사 모델링 기법이다. 그러나 이들 또한 근본적으로 근사법에 해당되므로 정확성을 향상시킬 필요가 있다. 근사법의 정확성을 높이기 위한 방법으로 반복적 방법을 사용하는 급수 전개법이 동원되며, 이 방법에는 수정 Born 급수, 준선형 급수 및 준해석 급수 등이 있다. 이들 급수 전개법은 적분방정식법 및 여러 근사법과 비교해 볼 때 매우 정확하고 비교적 빠르며, 항상 수렴하여 그 효율성이 높은 것으로 나타났다. 또한 급수 전개법은 전산프로그램의 작성이 용이하다는 장점도 있다. 본 연구에서는 이를 확장된 Born 급수 전개법으로 화장하여 보다 정확한 결과를 얻을 수 있었다. 따라서 확장된 Born 급수법을 포함하는 각종 급수 전개법은 향후 3차원 전자탐사 모델링 및 역산에 적용 가능한 빠르고 정확한 모델링 기법으로 기대된다.

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Free surface effects on 2-D airfoils and 3-D wings moving over water

  • Bal, Sakir
    • Ocean Systems Engineering
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    • 제6권3호
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    • pp.245-264
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    • 2016
  • The iterative boundary element method (IBEM) developed originally before for cavitating two-dimensional (2-D) and three-dimensional (3-D) hydrofoils moving under free surface is modified and applied to the case of 2-D (two-dimensional) airfoils and 3-D (three-dimensional) wings over water. The calculation of the steady-state flow characteristics of an inviscid, incompressible fluid past 2-D airfoils and 3-D wings above free water surface is of practical importance for air-assisted marine vehicles such as some racing boats including catamarans with hydrofoils and WIG (Wing-In-Ground) effect crafts. In the present paper, the effects of free surface both on 2-D airfoils and 3-D wings moving steadily over free water surface are investigated in detail. The iterative numerical method (IBEM) based on the Green's theorem allows separating the airfoil or wing problems and the free surface problem. Both the 2-D airfoil surface (or 3-D wing surface) and the free surface are modeled with constant strength dipole and constant strength source panels. While the kinematic boundary condition is applied on the airfoil surface or on the wing surface, the linearized kinematic-dynamic combined condition is applied on the free surface. The source strengths on the free surface are expressed in terms of perturbation potential by applying the linearized free surface conditions. No radiation condition is enforced for downstream boundary in 2-D airfoil and 3-D wing cases and transverse boundaries in only 3-D wing case. The method is first applied to 2-D NACA0004 airfoil with angle of attack of four degrees to validate the method. The effects of height of 2-D airfoil from free surface and Froude number on lift and drag coefficients are investigated. The method is also applied to NACA0015 airfoil for another validation with experiments in case of ground effect. The lift coefficient with different clearance values are compared with those of experiments. The numerical method is then applied to NACA0012 airfoil with the angle of attack of five degrees and the effects of Froude number and clearance on the lift and drag coefficients are discussed. The method is lastly applied to a rectangular 3-D wing and the effects of Froude number on wing performance have been investigated. The numerical results for wing moving under free surface have also been compared with those of the same wing moving above free surface. It has been found that the free surface can affect the wing performance significantly.

Form-finding analysis of suspension bridges using an explicit Iterative approach

  • Cao, Hongyou;Zhou, Yun-Lai;Chen, Zhijun;Wahab, Magd Abdel
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.85-95
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    • 2017
  • This paper presents an explicit analytical iteration method for form-finding analysis of suspension bridges. By extending the conventional analytical form-finding method predicated on the elastic catenary theory, two nonlinear governing equations are derived for calculating the accurate unstrained lengths of the entire cable systems both the main cable and the hangers. And for the gradient-based iteration method, the derivation of explicit calculation for the Jacobian matrix while solving the nonlinear governing equation enhances the computational efficiency. The results from sensitivity analysis show well performance of the explicit Jacobian matrix compared with the traditional finite difference method. According to two numerical examples of long span suspension bridges studied, the proposed method is also compared with those reported approaches or the fundamental criterions in suspension bridge structural analysis, which eventually confirms the accuracy and efficiency of the proposed approach.

Minimum-Time Guidance and Control Law for High Maneuvering Missile

  • Yamaoka, Seiji
    • International Journal of Aeronautical and Space Sciences
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    • 제10권1호
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    • pp.46-58
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    • 2009
  • This paper deals with design procedure of online guidance and control law for future missiles that requires agile maneuverability. For the purpose, the missile with high powered side thruster is proposed. The guidance and control law for such missiles is discussed from a point of view of optimal control theory in this paper. Minimum time problem is solved for the approximated system. It is derived that bang- bang control is optimal input from the necessary conditions of optimal solution. Feedback guidance without iterative calculation is useful for actual systems. In this paper. multiple design point method is applied to design feedback gains and feed forward inputs of the guidance and control law. The numerical results show that the proposed guidance and control law has a high -performance for wide-ranging boundary conditions.

Calculation of Mixed Lubrication at Piston Ring and Cylinder Liner Interface

  • Cho, Myung-Rae;Park, Jae-Kwon;Han, Dong-Chul
    • Journal of Mechanical Science and Technology
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    • 제15권7호
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    • pp.859-865
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    • 2001
  • This paper reports on the theoretical analysis of mixed lubrication for the piston ring. The analytical model is presented by using the average flow and asperity contact model. The cyclic variations of the nominal minimum oil film thickness are obtained by numerical iterative method. The total friction is calculated by using the hydrodynamic and asperity contact theory. The effect of the roughness height, pattern, and engine speed on the nominal minimum film thickness, friction force, ad frictional power losses are investigated. As the roughness height increases, the nominal oil film thickness and total friction force increase. Also, the effect of the surface roughness on the boundary friction is dominant at low engine speed and high asperity height. The longitudinal roughness pattern shows lower mean oil film pressure and thinner oil film thickness compared to the case of the isotropic and transverse roughness patterns.

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Conversion of the Sonic Conductance C and the Critical Pressure Ratio b into the Airflow Coefficient ${\mu}$

  • Grymek Szymon;Kiczkowiak Tomasz
    • Journal of Mechanical Science and Technology
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    • 제19권9호
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    • pp.1706-1710
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    • 2005
  • In a case of computer simulation used for the verification of pneumatic system performance one of the main problems is that various parameters can be used to describe flow characteristics of the system components. The Standard ISO 6358 offers two parameters: the sonic conductance C and the critical static pressure ratio b, but the parameters can not be directly utilised in an analysis of a pneumatic system. In the standard analysis there is applied the airflow coefficient ${\mu}$, but it is not presented in the vendors' catalogues. In the paper the numerical algorithm for calculation of the airflow coefficient ${\mu}$. (which is required for computer simulation) as a function of sonic conductance C and a critical pressure ratio b (recommended by the standard) is presented. Additionally, because of the iterative character of the described algorithm, an artificial neural network approach to solve the problem is proposed.

가변 컨덕턴스 히트파이프의 열특성에 관한 해석 (Analysis on the Thermal Characteristics of Variable Conductance Heat Pipe)

  • 김근오;김무근;박병규
    • 설비공학논문집
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    • 제13권1호
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    • pp.38-47
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    • 2001
  • The operation characteristics of variable conductance heat pipe(VCHP) were numerically investigated by using 1-dimensional diffuse-front model. For different boundary conditions, the amount of non-condensible gas charge and dimension of gas reservoir were obtained by iterative calculation. It is found that the amount of non-condensible gas charge and dimensions of gas reservoir have an effect on the temperature control of condenser for the given operating condition of VCHP. The numerical results show that VCHP has an excellent capability of temperature control when subjected to a change in the heat input.

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유전적 기법에 의한 지구물리자료의 역산 (Inversion of Geophysical Data Using Genetic Algorithms)

  • 김희준
    • 자원환경지질
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    • 제28권4호
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    • pp.425-431
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    • 1995
  • Genetic algorithms are so named because they are analogous to biological processes. The model parameters are coded in binary form. The algorithm then starts with a randomly chosen population of models called chromosomes. The second step is to evaluate the fitness values of these models, measured by a correlation between data and synthetic for a particular model. Then, the three genetic processes of selection, crossover, and mutation are performed upon the model in sequence. Genetic algorithms share the favorable characteristics of random Monte Carlo over local optimization methods in that they do not require linearizing assumptions nor the calculation of partial derivatives, are independent of the misfit criterion, and avoid numerical instabilities associated with matrix inversion. An additional advantage over converntional methods such as iterative least squares is that the sampling is global, rather than local, thereby reducing the tendency to become entrapped in local minima and avoiding the dependency on an assumed starting model.

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CFD 기법을 이용한 실린더헤드 가스켓홀 통과 유량의 최적화 (Numerical Optimization of the Coolant Flow Rates through Cylinder Head Gasket Holes by applying CFD Techniques)

  • 백경욱;이상호;조남효
    • 한국자동차공학회논문집
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    • 제8권5호
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    • pp.121-128
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    • 2000
  • Simple design methods were developed to control the coolant flow rates through cylinder head gasket holes. Applying the concept of flow through an obstruction the ratio of intake to exhaust side flow rates could be easily controlled while maintaining the flow rates per cylinder of the original model. Flow distribution in the coolant passage of the original model was calculated by CFD and the flow rates at the gasket holes were modified based on the calculation results. The calculated flow rated of the modified gasket holes were reasonably close to target values. For more accurate control of the flow rate distribution, a design method with iterative CFD calculations was also suggested. The final size of gasket holes for the target flow rates were obtained just after a few optimization iterations. These methods can be very useful for the optimization of heat transfer characteristics in engine cylinder head and block.

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A 전기적인 대구조의 마이크로파 가열의 수치해석 모델링 (A Numerical Algorithm for Modeling Microwave Heating Effects in Electrically Large Structures)

  • ;이하영;김형석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 C
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    • pp.2315-2317
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    • 2005
  • In this paper, an iterative method to model the electromagnetic heating of electrically large lossy dielectrics is presented. Frequency domain finite element (FEM) solutions of the wave equation are determined for the lossy inhomogeneous dielectric as the material properties are change with temperature and time. The power absorbed from microwave losses is applied to a finite element time domain (FETD) calculation of the heat diffusion equation. Time steps appropriate for updating the piecewise material properties in the wave equation and the time stepping of the heat equation are presented. The effects of preheating and source frequency are investigated.

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