• Title/Summary/Keyword: 수치적 근사

Search Result 466, Processing Time 0.025 seconds

Analysis of rectangular delectric waveguide uisng perturbation feedback method (섭동궤환방법을 이용한 구형 유전체도파로의 해석)

  • 강영진;손동희;김선엽
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.22 no.8
    • /
    • pp.1833-1841
    • /
    • 1997
  • Rectangular dielectric waveguides, the most fundamental and indispensible elements in integrated optics, have been investigated by many researchers with various approaching methods including from the relatively approximate techniques to the numerical method. In this paper, the optimum equivalent waveguide model is adopted which is determined by a perturbation feedback process for analyzing the propagation constant by means of computer simulation, we have ascertained that the propagation constant from perturbation feedback method gives the best approximate value because it coincide with more exact value than obtained by other approximating methods. The technique also provides analytical expression for the modal field profile that should be useful in the design of various integrated optical devices.

  • PDF

Development of FEM Algorithm for Modeling Bed Elevation Change (하상변동 수치모의를 위한 유한요소법 알고리즘 개발)

  • Kim, Tae-Beom;Choi, Sung-Uk;Min, Kyung-Duck
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2006.05a
    • /
    • pp.588-593
    • /
    • 2006
  • 자연하천은 일반적으로 만곡수로나 사행수로 형태를 보이고 있으며, 직선수로에서와 달리 원심력에 기인한 이차류 영향을 받게 된다. 이차류에 의해서 수면에서는 만곡부 바깥쪽으로, 하상에서는 만곡부 안쪽으로의 흐름특성을 보이게 된다. 만곡부 안쪽으로 가해지는 하상 전단응력에 기인하여 하상에서의 입자가 만곡부 안쪽으로 이송되며, 결과적으로 만곡부 안쪽에는 점사주가, 바깥쪽에는 소(pool)가 생성된다. 또한 지형경사의 생성으로 입자에 가해지는 중력효과도 변화된다. 따라서 이와 같은 자연하천의 흐름과 하상변동을 수치모의 하기 위해서는 만곡부 이차류 특성을 고려한 모형이 필요하다. 본 연구에서는 수심 적분된 흐름방정식과 하상토 보존방정식 (Exner equation)을 이용한 하상변동을 위한 비연계 수치모형을 위해서 하상토 보존방정식의 유한요소 알고리즘을 개발하였다. 하상토 보존방정식은 흐름 특성에 따른 평형 유사량의 공간변화율을 이용하여 일정 기간 동안의 하상 변화량을 계산한다. 이 때 이차류에 의한 하상 전단응력의 편각 및 지형경사 변화에 따른 실제 입자의 이송방향을 보정하여 평형 유사량이 계산된다. 이러한 보정식을 적용시키기 위해서는 유속성분의 공간변화량 및 지형경사의 공간성분이 필요하다. 유한요소법은 연속성 변수를 이산화시켜 근사해를 구하는 수치기법의 일종이기 때문에, 요소망이 불규칙적으로 구성되었을 경우 임의의 절점에서 연속성을 지닌 변수의 공간변화율을 계산하는데 어려움이 있다. 따라서 본 연구에서는 평형 유사량 계산 시에 절점이 아닌 요소 내부에서 평형 유사량을 계산하는, 하상토 보존방정식의 새로운 유한요소 알고리즘을 개발하고, 새로운 알고리즘을 적용시킨 수치모형의 검증을 행하였다. 경계조건 알고리즘의 검증으로 위해서 Soni 등 (1980)이 행한 상류 유입 유사량에 따른 하상변동을 수치 모의하고 실험치와 비교하였으며, Sutmuller와 Glerum (1980)이 수행한 만곡수로에서의 하상변동을 모의하고 실험과 비교하였다. 새로운 알고리즘을 적용시킨 하상토 보존방정식의 유한요소 수치모형의 결과는 매우 안정적이며, 실험과 매우 유사한 결과를 얻을 수 있었다. 본 수치모델은 현재 균일한 입자의 하상토만을 고려하므로, 입자분급이나 하상 장갑화 현상 등은 무시한다.

  • PDF

A Numerical Analysis on the Shear and Hydraulic behavior of Single Rock Joint with Roughness (거칠기를 고려한 단일 절리의 전단, 수리적 거동에 대한 수치해석)

  • 이희석;이연규
    • Proceedings of the Korean Society for Rock Mechanics Conference
    • /
    • 2000.09a
    • /
    • pp.117-128
    • /
    • 2000
  • The development of proper joint model, which can describe real phenomena exactly and still can be used easily, is one of the most important element for the analysis of the mechanical and hydraulic behavior of discontinuous rock mass. In this study, an elasto-plastic constitutive model of joint behavior considering asperity degradation was extended with the concept of first and second order asperities. The proposed model was implemented to numerical code with discrete finite joint element. The parametric study with the various asperity angles and degradation coefficients showed that the model can reproduce the shear behavior of typical rough joints well. Results of laboratory monotonic and cyclic shear tests were compared with those of numerical tests to validate the model. The hydraulic model considering the relations between gouge production and aperture was introduced to the mechanical model. In an attempt to examine the performance of the model, comparative numerical test was conducted. Permeability between joint surfaces increased rapidly at the first stage, but became nearly constant with increasing shear displacement due to gouge production and uniform variation of aperture distribution.

  • PDF

A Numerical Analysis on the Shear and Hydraulic behavior of Single Rock Joint with Roughness (거칠기를 고려한 단일 절리의 전단, 수리적 거동에 대한 수치해석)

  • 이희석;이연규
    • Tunnel and Underground Space
    • /
    • v.10 no.3
    • /
    • pp.366-377
    • /
    • 2000
  • The development of proper joint model, which can describe real phenomena exactly and still can be used easily, is one of the most important element for the analysis of the mechanical and hydraulic behavior of discontinuous rock mass. In this study, an elasto-plastic constitutive model of joint behavior considering asperity degradation was extended with the concept of first and second order asperities. The proposed model was implemented to numerical code with discrete finite joint element. The parametric study with the various asperity angles and degradation coefficients showed that the model can reproduce the shear behavior of typical rough joints well. Results of laboratory monotonic and cyclic shear tests were compared with those of numerical tests to validate the model. The hydraulic model considering the relations between gouge production and aperture was introduced to the mechanical mode1. In an attempt to examine the performance of the model, comparative numerical test was conducted. Permeability between joint surfaces increased rapidly at the first stage, but became nearly constant with increasing shear displacement due to gouge production and uniform variation of aperture distribution.

  • PDF

Numerical Analysis on the Determination of Hydraulic Characteristics of Rubble Mound Breakwater (경사식 방파제의 수리특성 결정을 위한 수치해석)

  • 박현주;전인식;이달수
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.14 no.1
    • /
    • pp.19-33
    • /
    • 2002
  • A numerical method to efficiently secure necessary design informations of the hydraulic characteristics of rubble mound breakwater was attempted here. The method combines the exterior wave field with the interior wave field which is formulated incorporating porous media flow inside the breakwaters. An approximate method based on the long wave assumption was used for the exterior wave field while a boundary element method was used for the interior wave field. A hydraulic experiment was also performed to verify the validity of the numerical analysis. The numerical results were compared with experimental data and results from existing formulae. They generally agreed in both reflection and transmission coefficients. The calculated pore pressures also showed a similar pattern with experimental data, even if they gave some significant differences in their values fur some cases. The main cause of such differences can be attributed to the strongly nonlinear wave field occurring on the frontal slope of the breakwater. The direct input of dynamic pressures(measured from hydraulic experiment) into the numerical method was suggested as a promising method to enhance the predictability of pore pressures.

A Note on Hamilton's Principle for a Free-Surface Flow Problem (자유표면파 문제에서의 하밀톤 원리의 적용에 대한 소고)

  • J.W.,Kim;K.J.,Bai
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.27 no.3
    • /
    • pp.19-30
    • /
    • 1990
  • This note describes an application of Hamiton's principle to nonlinear free-surface flow problems. Two functionals are constructed based on classical Hamilton's principle with a modification due to the presence of a free surface. As an effort towards the development of an efficient numerical scheme for our problem, we present the following three test results: i) The bounding principles of the eigenvalues for the linear dispersion relation. ii) By assuming steady solitary waves, an approximate relation between the amplitudes and the speeds of solitary waves are derived from the two functionals constructed. Their numerical results are compared with those of Longuet-Higgins & Fenton(1974). iii) The shapes and charicteristics of solitary waves are computed from two sets of functionals by varying the number of total finite elements in the fluid domain.

  • PDF

Numerical Modeling for Air-Side Flow Characteristics of Fin-TUbe Heat Exchangers for Air-Conditioning Applications (공조용 핀-관 열교환기의 공기측 열유동특성에 대한 수치모사)

  • 김승택;최윤호
    • Journal of Energy Engineering
    • /
    • v.9 no.4
    • /
    • pp.309-318
    • /
    • 2000
  • 핀-관 열교환기의 효율을 증대시키기 위하여는 열저항을 결정하는 데 있어서 중요한 역할을 하는 공기측 열전달 특성의 향상이 필요하다. 본 연구에서는 핀-관 열교환기의 공리측 성능을 해석하기 위해서 3차원 비압축성 Navier-Stokes 코드를 개발하였으며 이 코드는 시간항에 스칼라 내재적 근사분해법(scalar implicit approximate factorization)절차, 공간항에 유한체적법과 2차의 풍상차분법(upwind differencing)을 사용한다. 서로 다른 3개의 핀형상(평판핀, 슬릿핀, 파형핀)을 고려하였고 이들의 유동 및 열전달 특성을 연구하였다.

  • PDF

A Nonlinear Array Shape Estimation Using the Heading Sensor Signal (방위센서를 이용한 비선형 선배열 형상 추정 기법)

  • Cho Yo Han;Joh Chee Young;Seo Hee Seon
    • Proceedings of the Acoustical Society of Korea Conference
    • /
    • autumn
    • /
    • pp.85-88
    • /
    • 2000
  • 가늘고 긴 선배열을 해상에서 운용할 때 비선형 형상이 유도되므로 음원에 대한 정확한 탐지를 위하여 배열형상 추정이 필요하다. 방위센서를 이용한 배열형상 추정을 위하여 배열의 천 정도가 적은 경우에만 적용 가능한 다항 근사화 방법의 제한점을 극복하기 위하여 반복법을 제안하고, 수치 시뮬레이션을 통하여 반복회수에 따른 배열형상 추정결과를 분석하였다

  • PDF

Safety assessment of offshore structure system using the response surface approach (응답면 접근법을 이용한 해양구조물 시스템의 안전성 평가)

  • 이주성;미하일B.크라프스키
    • Journal of Ocean Engineering and Technology
    • /
    • v.11 no.3
    • /
    • pp.1-7
    • /
    • 1997
  • 본 논문에서는 해얀구조물의 신뢰성을 평가할 수 있는 새로운 방법을 제시하였다. 우선 구조의 저항능력에 대한 응답면을 구축하였고, Person 곡선중 하나를 이용해서 응답면을 근사 시킨후 Monte-Carlo Simulation을 수행하였고, 최종적으로 수치적분법을 적용해서 파괴확률을 구하였다. 해양구조물에의 적용을 통해 본 논문의 방법이 갖는 정당성을 보였다.

  • PDF

Numerical Integration based on Harmonic Oscillation and Jacobi Iteration for Efficient Simulation of Soft Objects with GPU (GPU를 활용한 고성능 연체 객체 시뮬레이션을 위한 조화진동 모델과 야코비 반복법 기반 수치 적분 기술)

  • Kang, Young-Min
    • Journal of Korea Game Society
    • /
    • v.18 no.5
    • /
    • pp.123-132
    • /
    • 2018
  • Various methods have been proposed to efficiently animate the motion of soft objects in realtime. In order to maintain the topology between the elements of the objects, it is required to employ constraint forces, which limit the size of the time steps for the numerical integration and reduce the efficiency. To tackle this, an implicit method with larger steps was proposed. However, the method is, in essence, a linear system with a large matrix, of which solution requires heavy computations. Several approximate methods have been proposed, but the approximation is obtained with an increased damping and the loss of accuracy. In this paper, new integration method based on harmonic oscillation with better stability was proposed, and it was further stabilized with the hybridization with approximate implicit method. GPU parallelism can be easily implemented for the method, and large-scale soft objects can be simulated in realtime.