• 제목/요약/키워드: Simultaneous Approximation

검색결과 60건 처리시간 0.025초

SIMULTANEOUS DETERMINATION OF OPTICAL CONSTANTS AND DEPTH-PROFILE OF SPUTTERED AMORPHOUS TiO$_2$ THIN FILMS

  • Rhee, Sung-Gyu;Lee, Soon-Il;Oh, Soo-Ghee
    • 한국표면공학회지
    • /
    • 제29권6호
    • /
    • pp.654-659
    • /
    • 1996
  • Amorphous $TiO_2$ thin films were deposited on silicon substrates by the RF magnetron sputtering under various conditions, and studied by the spectroscopic ellipsometry (SE). To determine the optical constants as a function of photon energy and also to depth-profile the as-deposited $TiO_2$ thin films, we analyzed the ellipsometric spectra using the effective medium approximation and the dispersion equations. Especially, we improved the modeling accuracy by selectively using either the Sellmeier or the Forouhi and Bloomer dispersion equation in different energy regions.

  • PDF

포물선 근사법에 의한 상태방정식의 새로운 수치해석적 접근법에 관한 연구 (A New Numerical Method for Solving Differential Equation by Quadratic Approximation)

  • 이종기;권용준;최병곤;문영현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2003년도 하계학술대회 논문집 A
    • /
    • pp.107-109
    • /
    • 2003
  • 전력계통의 과도 안정도 해석의 접근방법에는 SI(Simultaneous Implicit)법과 PE(Partitioned Explicit)법 두 가지방법을 사용해오고 있다. SI법에는 Trapezoidal법 등이 있고, PE법에는 Runge-Kutta법, Euler법등이 사용되고 있다. SI법인 Trapezoidal법은 PE법의 Runge-Kutta법 또는 Euler법에 비해 시간간격을 크게 해서 계산속도를 줄일 수 있다는 장점이 있지만, 정화도면에서는 신뢰한 수 없는 단점이 있다. 이 논문에서는 포물선 사법을 이용하여 Trapezoidal법의 정확도를 개선학 수 있는 방법을 제시하고 명확한 수학적 증명을 통해 타당성을 보여준다. 연속함수와 불연속함수에 대해서 Runge-Kutta법과 Trapezoidal법과 제안한 방법을 적용시켜서 제안한 방법의 정화함을 보여준다.

  • PDF

B-ISDN 확장 시 링크용량 설계 모형 및 알고리듬에 관한 연구 (A Mathematical Model and an Algorithm for Dimensioning Problem of B-ISDN Extension)

  • 주종혁
    • 산업경영시스템학회지
    • /
    • 제24권62호
    • /
    • pp.11-20
    • /
    • 2001
  • At the initial deployment of B-ISDN, the heterogeneity of services and the bandwidth requirement make dimensioning of B-ISDN much more complicated than the dimensioning of homogeneous circuit or packet switched networks. Therefore B-ISDN must be extended gradually according to future telecommunication technology or service demands. In this paper, we propose a mathematical formulation for dimensioning problem of B-ISDN extension, considering the characteristics of ATM(Asynchronous Transfer Mode) such as various quality of services, the statistical multiplexing effects of VPCs(Virtual Path Connections) and the modularity of transmission links allocated when new B-ISDN nodes are given. The algorithm based on the simultaneous linear approximation technique and Lagrangian relaxation method and some numerical results are also presented.

  • PDF

포물형 파랑모형을 이용한 수중천퇴상 불규칙파의 수치모의 (Numerical Simulation of Irregular Waves Over a Shoal Using Parabolic Wave Model)

  • 윤성범;이정욱;연영진;최병호
    • 한국해안해양공학회지
    • /
    • 제13권2호
    • /
    • pp.158-168
    • /
    • 2001
  • 불규칙파의 방향분산과 부분쇄파의 정도 높게 고려하기 위해 광각 포물형 근사식을 이용하는 수치모형이 수립되었다. 이 수치모형은 불규칙파를 여러 개의 단일주기의 규칙파로 분해한 다음, 각 성분파를 동시계산하여 중첩함으로써 합성파고를 구한다. 불규칙파의 부분쇄파를 고려하기 위해 합성파고를 이용하여 쇄파에 의한 에너지 감쇠량을 산정한다. 기존의 불규칙파 수리실험 결과와 비교하여 수립된 수치모형의 정확성을 검사한 바, 비쇄파의 경우 규칙파와 불규칙파 모두에 대해 상당한 정확도가 있음이 확인되었으나, 쇄파 발생 시에는 수치모형의 정도가 크게 저하됨을 발견하였으며, 그 이유에 대한 분석을 제시하였다.

  • PDF

The evolution of Magnetic fields in IntraClusterMedium

  • Park, Kiwan;Ryu, Dongsu;Cho, Jungyeon
    • 천문학회보
    • /
    • 제40권1호
    • /
    • pp.49.2-49.2
    • /
    • 2015
  • IntraCluster Medium (ICM) located at the galaxy cluster is in the state of very hot, tenuous, magnetized, and highly ionized X-ray emitting plasmas. High temperature and low density make ICM very viscous and conductive. In addition to the high conductivity, fluctuating random plasma motions in ICM, occurring at all evolution stages, generate and amplify the magnetic fields in such viscous ionized gas. The amplified magnetic fields in reverse drive and constrain the plasma motions beyond the viscous scale through the magnetic tension. Moreover, without the influence of resistivity viscous damping effect gets balanced only with the magnetic tension in the extended viscous scale leading to peculiar ICM energy spectra. This overall collisionless magnetohydrodynamic (MHD) turbulence in ICM was simulated using a hyper diffusivity method. The results show the plasma motions and frozen magnetic fields have power law of $E_V^k{\sim}k^{-3}$, $E_M^k{\sim}k^{-1}$. To explain these abnormal power spectra we set up two simultaneous differential equations for the kinetic and magnetic energy using an Eddy Damped Quasi Normal Markovianized (EDQNM) approximation. The solutions and dimensions of leading terms in the coupled equations derive the power spectra and tell us how the spectra are formed. We also derived the same results with a more intuitive balance relation and stationary energy transport rate.

  • PDF

Collaborative optimization for ring-stiffened composite pressure hull of underwater vehicle based on lamination parameters

  • Li, Bin;Pang, Yong-jie;Cheng, Yan-xue;Zhu, Xiao-meng
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제9권4호
    • /
    • pp.373-381
    • /
    • 2017
  • A Collaborative Optimization (CO) methodology for ring-stiffened composite material pressure hull of underwater vehicle is proposed. Structural stability and material strength are both examined. Lamination parameters of laminated plates are introduced to improve the optimization efficiency. Approximation models are established based on the Ellipsoidal Basis Function (EBF) neural network to replace the finite element analysis in layout optimizers. On the basis of a two-level optimization, the simultaneous structure material collaborative optimization for the pressure vessel is implemented. The optimal configuration of metal liner and frames and composite material is obtained with the comprehensive consideration of structure and material performances. The weight of the composite pressure hull decreases by 30.3% after optimization and the validation is carried out. Collaborative optimization based on the lamination parameters can optimize the composite pressure hull effectively, as well as provide a solution for low efficiency and non-convergence of direct optimization with design variables.

열전도가 주도적인 삼차원 접촉융해에 대한 비정상 해석 (Unsteady Analysis of the Conduction-Dominated Three-Dimensional Close-Contact Melting)

  • 유호선
    • 대한기계학회논문집B
    • /
    • 제23권8호
    • /
    • pp.945-956
    • /
    • 1999
  • This work reports a set of approximate analytical solutions describing the initial transient process of close-contact melting between a rectangular parallelepiped solid and a flat plate on which either constant temperature or constant heat flux is imposed. Not only relative motion of the solid block tangential to the heating plate, but also the density difference between the solid and liquid phase is incorporated in the model. The thin film approximation reduces the force balance between the solid weight and liquid pressure, and the energy balance at the melting front into a simultaneous ordinary differential equation system. The normalized model equations admit compactly expressed analytical solutions which include the already approved two-dimensional solutions as a subset. In particular, the normalized liquid film thickness is independent of all pertinent parameters, thereby facilitating to define the transition period of close-contact melting. A unique behavior of the solid descending velocity due to the density difference is also resolved by the present solution. A new geometric function which alone represents the three-dimensional effect is introduced, and its properties are clarified. One of the representative results is that heat transfer is at least enhanced at the expense of the increase in friction as the cross-sectional shape deviates from the square under the same contact area.

분산컴퓨팅 환경에서 공력 설계최적화의 효율성 연구 (A STUDY ON THE EFFICIENCY OF AERODYNAMIC DESIGN OPTIMIZATION USING DISTRIBUTED COMPUTATION)

  • 김양준;정현주;김태승;조창열
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2005년도 추계 학술대회논문집
    • /
    • pp.163-167
    • /
    • 2005
  • A research to evaluate efficiency of design optimization was performed for aerodynamic design optimization problem in distributed computing environment. The aerodynamic analyses which take most of computational work during design optimization were divided into several jobs and allocated to associated PC clients through network. This is not a parallel process based on domain decomposition rather than a simultaneous distributed-analyses process using network-distributed computers. GBOM(gradient-based optimization method), SAO(Sequential Approximate Optimization) and RSM(Response Surface Method) were implemented to perform design optimization of transonic airfoil and to evaluate their efficiencies. One dimensional minimization followed by direction search involved in the GBOM was found an obstacle against improving efficiency of the design process in distributed computing environment. The SAO was found quite suitable for the distributed computing environment even it has a handicap of local search. The RSM is apparently the fittest for distributed computing environment, but additional trial and error works needed to enhance the reliability of the approximation model are annoying and time-consuming so that they often impair the automatic capability of design optimization and also deteriorate efficiency from the practical point of view.

  • PDF

전기 임피던스 단층촬영법에서 SPSA를 이용한 영상복원 (SPSA Approach to Image Reconstruction in Electrical Impedance Tomograhpy)

  • 김호찬;부창진;이윤준
    • 조명전기설비학회논문지
    • /
    • 제18권2호
    • /
    • pp.23-28
    • /
    • 2004
  • 전기 임피던스 단층촬영법(electrical impedance tomography, EIT)은 미지의 내부 저항률 분포를 갖는 물체 주위에 특수하게 제작된 전극을 여러 개 배치하고 적절하게 설계된 전류를 주입하여 이에 따른 인가전압을 물체 경계에서 측정한 후 이를 근거로 EIT의 영상복원 알고리즘에서 물체 내부의 미지의 저항률 분포를 재구성하는 기술이다. 전기 임피던스 단층촬영법의 영상복원 과정은 비선형 방정식으로 기술되며, 그 해석적인 해를 구하기가 매우 어려우므로 수치적인 방법으로 근사해를 구한다. 본 논문에서는 EIT 영상복원 방법으로 동시 인자변환 확률적 근사화(simultaneous perturbation stochastic approximation, SPSA) 방법을 제안한다. SPSA 방법을 이용한 EIT 영상복원의 성능을 컴퓨터시뮬레이션을 통해 살펴보고 기존의 mNR 방법에 의해 얻어진 결과와 비교 분석하도록 한다.

분산컴퓨팅 환경에서 공력 설계최적화의 효율성 연구 (A STUDY ON THE EFFICIENCY OF AERODYNAMIC DESIGN OPTIMIZATION IN DISTRIBUTED COMPUTING ENVIRONMENT)

  • 김양준;정현주;김태승;손창호;조창열
    • 한국전산유체공학회지
    • /
    • 제11권2호
    • /
    • pp.19-24
    • /
    • 2006
  • A research to evaluate the efficiency of design optimization was carried out for aerodynamic design optimization problem in distributed computing environment. The aerodynamic analyses which take most of computational work during design optimization were divided into several jobs and allocated to associated PC clients through network. This is not a parallel process based on domain decomposition in a single analysis rather than a simultaneous distributed-analyses using network-distributed computers. GBOM(gradient-based optimization method), SAO(Sequential Approximate Optimization) and RSM(Response Surface Method) were implemented to perform design optimization of transonic airfoils and evaluate their efficiencies. dimensional minimization followed by direction search involved in the GBOM was found an obstacle against improving efficiency of the design process in the present distributed computing system. The SAO was found fairly suitable for the distributed computing environment even it has a handicap of local search. The RSM is apparently the most efficient algorithm in the present distributed computing environment, but additional trial and error works needed to enhance the reliability of the approximation model deteriorate its efficiency from the practical point of view.