• 제목/요약/키워드: finite difference technique

검색결과 331건 처리시간 0.022초

연속계의 이산화를 위한 새로운 모델링 기법 (A new modeling technique for the distributed parameter system - digital modeling approach)

  • 이용관;김인수;홍성욱
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1995년도 추계학술대회논문집; 한국종합전시장, 24 Nov. 1995
    • /
    • pp.227-232
    • /
    • 1995
  • This paper presents a digital modeling technique for the distributed parameter system. The basic idea of the proposed technique is to discretize a continuous system with respect to the spatial coordinate using the approximate methods such as bilinear method and backward difference method. The response of the discretized system is analyzed by Laplace transform and Z transform. The computational result of the proposed technique in a torsional shaft is compared with the exact solution and the result of the finite element method.

  • PDF

디지털 수치수조 기법에 의한 연안 Tsunami의 수치 시뮬레이션 (Numerical Simulation of Nearshore Tsunami Using a Digital Wave Tank Simulation Technique)

  • 박종천;전호환
    • 한국해양공학회:학술대회논문집
    • /
    • 한국해양공학회 2003년도 춘계학술대회 논문집
    • /
    • pp.231-239
    • /
    • 2003
  • A Digital Wave Tank simulation technique based on a finite-difference method and a modified marker-and-cell (MAC) algorithm is applied to investigate the characteristics of nonlinear Tsunami propagations and their interactions with a 2D sloping beach and Ohkushiri island, and to predict maximum wave run-up around the island. The Navier-Stokes (NS) and continuity equation are governed in the computational domain and the boundary values updated at each time step by a finite-difference time-marching scheme in the frame of rectangular coordinate system. The fully nonlinear kinematic free-surface condition is satisfied by the modified marker-density function technique. The Nearshore Tsunami is assumed to be a solitary wave and generated from the numerical wavemaker in the developed Digital Wave Tank. The simulation results are compared with the experiments and other numerical methods based on the shallow-water wave theory.

  • PDF

PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS

  • Munyakazi, Justin B.;Patidar, Kailash C.
    • 대한수학회지
    • /
    • 제51권4호
    • /
    • pp.679-702
    • /
    • 2014
  • Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

단순지지된 비등방성 대칭 적층 원통형 쉘의 해석 (Analysis of Simple Supported Anisotropic Symmetric Laminated Cylindrical Shells)

  • 채상윤;임성순;장석윤
    • 한국강구조학회 논문집
    • /
    • 제11권2호통권39호
    • /
    • pp.117-129
    • /
    • 1999
  • 본 연구의 목적은 복합재료의 이점을 증명하고, 비등방성 대칭 적층 원통형 쉘의 거동을 분석하는 것으로서, 비등방성 대칭 적층 원통형 쉘을 해석하기 위해서 전진차분법, 중앙차분법, 후진차분법으로 구성되어 있는 유한차분법을 적용하였다. 본 연구에서는 처짐과 모멘트를 자유도로 고려하였으며, 이는 모멘트 계산시 발생할 수 있는 오차를 줄일 수 있는 장점을 가지고 있다. 또한 4변이 모두 단순지지된 경계조건을 고려하였다. 수치해석 결과, 유한차분법에 의한 본 연구의 프로그램이 비등방성 대칭 적층 원통형 쉘의 해석에 적합함을 알 수 있으며, 효과적인 보강섬유의 배치 방법을 제시하였다.

  • PDF

과도응답해석을 이용한 열교환기의 성능평가방법에 관한 연구 (Performance evaluation technique of a heat exchanger using a transient response analysis)

  • 박병규;홍택;박상희
    • 설비공학논문집
    • /
    • 제11권1호
    • /
    • pp.81-90
    • /
    • 1999
  • The performance evaluation technique of a heat exchanger is described by using a transient response analysis for the determination of an average heat transfer coefficient. The model using a finite difference method can accommodate arbitrary inlet fluid temperature as well as longitudinal conduction. Temperature histories are obtained from the experiments at the inlet and outlet of test core. Heat transfer coefficient and friction factor of the plate array are obtained in short times using the data reduction program of transient response analysis in the single-blow method. The results agree very well with theoretical results. It is shown that the rms deviations are very small and the performance evaluation technique gives rapid and accurate results.

  • PDF

유한차분법을 이용한 말뚝의 하중전이특성 및 해석기법 (Analytical Technique and Load Transfer Features on Pile Using Finite Difference Method)

  • 한중근;이재호
    • 한국환경복원기술학회지
    • /
    • 제9권5호
    • /
    • pp.10-21
    • /
    • 2006
  • For analyze of the bearing capacity, skin friction and settlements of pile on axial compressive loading, both Load transfer tests of pile and pile loading test in field have application to commonly before pile installing. A bearing capacity of pile was affected by the characteristics of surrounding ground of pile. Especially, that is very different because of evaluation of settlement due to each soil conditions of ground depths. The ground characteristics using evaluation of bearing capacity of pile through load transfer analysis depends on N values of SPT, and then a bearing capacity of pile installed soft ground and refilled area may be difficult to rational evaluation. An evaluation of bearing capacity on pile applied axial compressive loading was effected by strength of ground installed pile, unconfined compressive strength at pile tip, pile diameter, rough of excavated surface, confining pressure and deformation modules of rock etc and these are commonly including the unreliability due to slime occurred excavation works. Load transfer characteristics considered ground conditions take charge of load transfer of large diameter pile was investigated through case study applied load transfer tests. To these, matrix analytical technique of load transfer using finite differential equation developed and compared with the results of pile load test.

대류확산문제의 유한요소해석을 위한 Line-by-Line 해법 (A Line-by-Line Technique for Convection-diffusion Problem Implementing Finite Element Method)

  • 유재석
    • 설비공학논문집
    • /
    • 제3권2호
    • /
    • pp.97-102
    • /
    • 1991
  • Finite element method has been developed recently for the solution of the convection-diffusion problems. Finite element method has several advantages over finite difference method, but its requirement of the larger memory size of the computer has prevented from wide application. In the present study, line-by-line technique has been implemented to finite element method to overcome this disadvantage. Two dimensional laminar natural convection in square cavity was chosen as an example in this study. The numerical result shows good agreement with bench mark solution and the size of the coefficient marix has been reduced drastically.

  • PDF

FUNCTIONAL ITERATIVE METHODS FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS

  • Lim, Hyo Jin;Kim, Kyoum Sun;Yun, Jae Heon
    • Journal of applied mathematics & informatics
    • /
    • 제31권5_6호
    • /
    • pp.733-745
    • /
    • 2013
  • In this paper, we first propose a new technique of the functional iterative methods VIM (Variational iteration method) and NHPM (New homotopy perturbation method) for solving two-point boundary value problems, and then we compare their numerical results with those of the finite difference method (FDM).

고차 삼각형 유한요소에 의한 구형단면의 온도분포와 열전달 (Temperature distribution & heat transfer of rectangular cross section by the higher-order triangular finite element method)

  • 용호택;서정일;조진호
    • 오토저널
    • /
    • 제3권3호
    • /
    • pp.24-29
    • /
    • 1981
  • This paper is studied an efficient temperature distribution and heat transfer of two-dimensional rectangular cross-section by the higher-order triangular finite dynamic element and finite difference. This is achieved by employing a discretization technique based on a recently developed concept of finite dynamic elements, involving higher order dynamic correction terms in the associated stiffness and convection matrices. Numerical solution results of temperature distribution presented herein clearly optimum element and show that FEM10 is the most accurate temperature distribution, but heat transfer and computational effort is the most acquired.

  • PDF

균질화기법을 이용한 복합재료의 등가 열전도계수의 계산 (Determination of Equivalent Thermal Conductivities of Composite Materials Using Homogenization Technique)

  • 이진희;이봉래
    • 대한기계학회논문집
    • /
    • 제18권5호
    • /
    • pp.1245-1252
    • /
    • 1994
  • A solution of heat transfer problems of composite materials has been tried using homogenization technique. Homogenization technique, which was derived by applying asymptotic expansion to the standard finite element method, helped compute the equivalent thermal conductivity matrices of base cells which constituted the composite material with repeated patterns. The homogenization technique made it possible to compute the solution of the heat transfer problem of composite materials with lower degrees of freedom compared to those of other numerical methods. The equivalent thermal conductivities computed by computed by homogenization technique are also applicable to other numerical methods such as finite difference method.