• 제목/요약/키워드: finite difference

검색결과 3,277건 처리시간 0.029초

측정시간에 따른 거주주택의 환기량 계산 오류에 관한 연구 (A Study on the Error Associated with Ventilation Rate Calculation Using Different Sampling Intervals)

  • 양원호;배현주;이기영;정문호
    • 한국환경보건학회지
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    • 제26권3호
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    • pp.50-54
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    • 2000
  • Ventilation rates can be measured directly by a tracer decay method, although little is known of the effects of different sampling intervals on decay rte calculations. This study determined variations in decay rates calculated by three techniques using residential ozone decay data. The calculation techniques were a regression technique, decay techniques using half-life and average-life, and finite difference techniques using two different time intervals. Variation associated with regression technique calculations for residential ozone decay rates based on data from both sample intervals were within 10% (2.81$\pm$1.88 hr-1). However, both half-life and finite difference technique calculations using a shorter-time interval were significantly different from those obtained with the regression technique(p<0.05). Therefore, the use of short sampling intervals in tracer decay may cause significant error in decay rate calculations.

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Iterative Analysis for Nonlinear Laminated Rectangular Plates by Finite Difference Method

  • Kim, Chi Kyung
    • International Journal of Safety
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    • 제1권1호
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    • pp.13-17
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    • 2002
  • A new system of equations governing the nonlinear thin laminated plates with large deflections using von Karman equations is derived. The effects of transverse shear in the thin interlayer are included as part of the analysis. The finite difference method is used to perform the geometrically nonlinear behavior of the plate. The resultant equations permit the analysis of the effect of transverse shear stress deformation on the overall behavior of the interlayer using the load incremental method. For the purpose of feasibility and validity of this present method, the numerical results are compared with other available solutions for accuracy as well as efficiency. The solution techniques have been implemented and the numerical results of example problem are discussed and evaluated.

A NONSTANDARD FINITE DIFFERENCE METHOD APPLIED TO A MATHEMATICAL CHOLERA MODEL

  • Liao, Shu;Yang, Weiming
    • 대한수학회보
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    • 제54권6호
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    • pp.1893-1912
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    • 2017
  • In this paper, we aim to construct a nonstandard finite difference (NSFD) scheme to solve numerically a mathematical model for cholera epidemic dynamics. We first show that if the basic reproduction number is less than unity, the disease-free equilibrium (DFE) is locally asymptotically stable. Moreover, we mainly establish the global stability analysis of the DFE and endemic equilibrium by using suitable Lyapunov functionals regardless of the time step size. Finally, numerical simulations with different time step sizes and initial conditions are carried out and comparisons are made with other well-known methods to illustrate the main theoretical results.

Reconstruction of the Electron Density Profile in O-mode Ultrashort Pulse Reflectometry using a Two-dimensional Finite Difference Time Domain

  • Roh, Young-Su
    • 조명전기설비학회논문지
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    • 제27권7호
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    • pp.52-58
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    • 2013
  • The two-dimensional finite difference time domain algorithm is used to numerically reconstruct the electron density profile in O-mode ultrashort pulse reflectometry. A Gaussian pulse is employed as the source of a probing electromagnetic wave. The Gaussian pulse duration is chosen in such a manner as to have its frequency spectrum cover the whole range of the plasma frequency. By using a number of numerical band-pass filters, it is possible to compute the time delays of the frequency components of the reflected signal from the plasma. The electron density profile is reconstructed by substituting the time delays into the Abel integral equation. As a result of simulation, the reconstructed electron density profile agrees well with the assumed profile.

Stochastic analysis of elastic wave and second sound propagation in media with Gaussian uncertainty in mechanical properties using a stochastic hybrid mesh-free method

  • Hosseini, Seyed Mahmoud;Shahabian, Farzad
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.41-64
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    • 2014
  • The main objective of this article is the exploitation of a stochastic hybrid mesh-free method based on stochastic generalized finite difference (SGFD), Newmark finite difference (NFD) methods and Monte Carlo simulation for thermoelastic wave propagation and coupled thermoelasticity analysis based on GN theory (without energy dissipation). A thick hollow cylinder with Gaussian uncertainty in mechanical properties is considered as an analyzed domain for the problem. The effects of uncertainty in mechanical properties with various coefficients of variations on thermo-elastic wave propagation are studied in details. Also, the time histories and distribution on thickness of cylinder of maximum, mean and variance values of temperature and radial displacement are studied for various coefficients of variations (COVs).

유한차분 시간영역법을 이용한 콘크리트 두께측정 전자파 모델링의 적용 (Application of Modeling of Electromagnetic Wave Propagation for Thickness Determination Using Finite Difference-Time Domain)

  • 임홍철;남국광
    • 한국전산구조공학회논문집
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    • 제15권2호
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    • pp.341-349
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    • 2002
  • 레이더법은 건축구조물에 대한 비파괴 검사의 대표적인 방법의 하나이다. 레이더로 측정된 결과들을 분석하기 위해서는 전자기파의 전파에 대한 수치적인 모델링을 통한 이론적인 접근이 필요하다. 콘크리트 시편에 전파되는 전자기파를 모델링하기 위해 유한차분 시간영역법을 적용하고자 한다. 유한차분 시간영역법은 전자파 해석과 모델링을 통한 시뮬레이션에 매우 유용한 방법이다. 본 연구에서는 유한차분 시간영역법을 이용하여 두께가 다른 5개의 시편을 3차원으로 모델링하였다. 모델링 결과와 실험 결과를 비교하여 실험에서 시편 뒷 표면을 찾으며 시편두께를 측정한다.

다층 지반의 2차원 압밀 수치해석 II (2-D Consolidation Numerical Analysis of Multi_Layered Soils (II))

  • 류권일;김팔규;구기욱;남상규
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 가을 학술발표회 논문집
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    • pp.665-672
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    • 2000
  • The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered consolidation using a numerical analysis, finite difference method(F.D,M.). Better results can be obtained by the process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground Explicit method is simple for analysis algorithm and convenient for use except for applying the operator Crank-Nicolson method represents implicit method, which have different analysis method according to weighting factor. This method uses different algorithm according to dimension. And, this paper uses alternative direction implicit method. The purpose of this paper provides an efficient computer algorithm based on numerical analysis using finite difference method which account for multi-layered soils with confined aquifer to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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유한차분 시간영역 알고리듬을 이용한 누설 동축 케이블의 전자파 특성에 관한 연구 (A study on the electromagnetic wave properties of the leaky coaxial cable with the finite difference time domain (FDTD) algorithm)

  • 홍용인;김정기
    • 한국통신학회논문지
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    • 제21권11호
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    • pp.2954-2965
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    • 1996
  • In this paper, the electromagnetic field characteristics of leaky caxial cable are anlyzed by using the finite difference-time domain(FDTD) technique. Finite difference equations of Maxwell's equations are definedin cylindrical coordinate systems. To simulate the open boundary problem like a free space, the Mur's Absorbing Boundary condition(Mur-ABC) is also used. After modeling the leaky coaxial cable with the three dimensional grid structure, the transient response of the field distribution and the current distribution, the field pattern, the coupling effect are depicted in the time domain.

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FDTD 알고리즘을 이용한 누설 동축 케이브르이 전파 특성 해석 (An analysis of electromagnetic wave properties of the leaky coaxial cable using the finite difference time domain algorithm(FDTD))

  • 홍용인;손동인;김태원;김정기;남호석
    • 전자공학회논문지A
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    • 제33A권5호
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    • pp.94-101
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    • 1996
  • The purpose of this paper is to analyze the field distribution and the current distribution of leaky coaxial cable with the finite difference-tiem domain(FDTD) algorithm. finite difference equations of maxwell's equations are defined in cylindrical coordinate systems. To simulate the unbounded problem like a free space, the Mur's absorbing boundary conditon is also used. After modeling the leaky coaxial cable with the three dimensional grid structure, the transient resoponse of th efield distribution and the current distribution are depicted in the time domain.

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차분격자볼츠만법에 의한 유체음의 직접계산 (Direct Simulation of Acoustic Sound by the Finite Difference Lattice Boltzmann Method)

  • 강호근;노기덕;이영호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1827-1832
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    • 2003
  • In this research, the simulation method for acoustic sounds by a uniform flow around a two-dimensional circular cylinder by using the finite difference lattice Boltzmann model is explained. To begin with, we examine the boundary condition which determined with the distribution function $f_i^{(0)}$ concerning with density, velocity and internal energy at boundary node. Very small acoustic pressure fluctuation, with same frequency as that of Karman vortex street, is compared with the pressure fluctuation around a circular cylinder. The acoustic sound' propagation velocity shows that acoustic approa ching the upstream, due to the Doppler effect in the uniform flow, slowly propagated. For the do wnstream, on the other hand, it quickly propagates. It is also apparently the size of sound pressure was proportional to the central distance $r^{-1/2}$ of the circular cylinder. The lattice BGK model for compressible fluids is shown to be one of powerful tool for simulation of gas flows.

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