• 제목/요약/키워드: Numerical Dispersion

검색결과 586건 처리시간 0.024초

Numerical Modeling of One-Dimensional Longitudinal Dispersion Equation using Eulerian Method

  • Seo, Il-Won;Kim, Dae-Geun
    • Korean Journal of Hydrosciences
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    • 제6권
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    • pp.51-66
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    • 1995
  • Various Eulerian-Lagerangian numerical models for the one-dimensional longtudinal dispersion equation are studied comparatively. In the models studied, the transport equation is decoupled into two component parts by the operator-splitting approach ; one part governing advection and the other dispersion. The advection equation has been solved using the method of characteristics following flud particles along the characteristic line and the result are interpolated onto an Eulerian grid on which the dispersion equation is solved by Crank-Nicholson type finite difference method. In solving the advection equation, various interpolation schemes are tested. Among those, Hermite interpo;ation po;ynomials are superor to Lagrange interpolation polynomials in reducing both dissipation and dispersion errors.

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Multivariate control charts for monitoring correlation coefficients in dispersion matrix

  • Chang, Duk-Joon;Heo, Sun-Yeong
    • Journal of the Korean Data and Information Science Society
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    • 제23권5호
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    • pp.1037-1044
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    • 2012
  • Multivariate control charts for effectively monitoring every component in the dispersion matrix of multivariate normal process are considered. Through the numerical results, we noticed that the multivariate control charts based on sample statistic $V_i$ by Hotelling or $W_i$ by Alt do not work effectively when the correlation coefficient components in dispersion matrix are increased. We propose a combined procedure monitoring every component of dispersion matrix, which operates simultaneously both control charts, a chart controlling variance components and a chart controlling correlation coefficients. Our numerical results show that the proposed combined procedure is efficient for detecting changes in both variances and correlation coefficients of dispersion matrix.

Extremely Low Numerical Dispersion FDTD Method Based on H(2, 4) Scheme for Lossy Material

  • Oh, Il-Young;Hong, Yongjun;Yook, Jong-Gwan
    • Journal of electromagnetic engineering and science
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    • 제13권3호
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    • pp.158-164
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    • 2013
  • This paper expands a previously proposed optimized higher order (2, 4) finite-difference time-domain scheme (H(2, 4) scheme) for use with lossy material. A low dispersion error is obtained by introducing a weighting factor and two scaling factors. The weighting factor creates isotropic dispersion, and the two scaling factors dramatically reduce the numerical dispersion error at an operating frequency. In addition, the results confirm that the proposed scheme performs better than the H(2, 4) scheme for wideband analysis. Lastly, the validity of the proposed scheme is verified by calculating a scattering problem of a lossy circular dielectric cylinder.

Effect of Fiber Dispersion and Self-phase Modulation in Multi-channel Subcarrier Multiplexed Optical Signal Transmission

  • Kim, Kyoung-Soo;Jeong, Ji-Chai;Lee, Jae-Hoon
    • Journal of the Optical Society of Korea
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    • 제14권4호
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    • pp.351-356
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    • 2010
  • We investigated the combined effect of fiber chromatic dispersion and self-phase modulation (SPM) in multi-channel subcarrier multiplexed (SCM) optical transmission systems. We theoretically analyzed the transmission characteristics of the SCM signals with the effect of SPM and chromatic dispersion in a single-mode optical fiber by numerical simulations based on the nonlinear Schrodinger equation. The numerical simulation results revealed that the effect of fiber dispersion and SPM could occur independently between subcarrier channels in two-channel SCM systems for small optical modulation index (OMI) and large channel spacing. However, for large OMI, small channel spacing, and large fiber launching power, we found a performance degradation of the two-channel system compared to that of a single-channel system. These parameters are therefore important for the optimization of multi-channel SCM systems applicable to radio over fiber networks.

NUMERICAL MODELING OF TWO-DIMENSIONAL ADVECTION-DISPERSION IN OPEN CHANNEL

  • Lee, Myung-Eun;Kim, Young-Han;Seo, Il-Won
    • Water Engineering Research
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    • 제4권1호
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    • pp.45-58
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    • 2003
  • Two-dimensional depth-averaged advection-dispersion equation was simulated using FEM. In the straight rectangular channel, the advection-dispersion processes are simulated so that these results can be compared with analyti-cal solutions for the transverse line injection and the point injection. In the straight domain the standard Galerkin method with the linear basis function is found to be inadequate to the advection-dispersion analysis compared to the upwind finite element scheme. The experimental data in the S-curved channel were compared with the result by the numerical model using SUPG(Streamline upwind Petrov-Galerkin) method.

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X-Z 수치모형에 의한 하구의 연도확산 분석 (Analysis of Salinity Dispersion in Estuaries by an X-Z Numerical Model)

  • 강주환;이길성
    • 한국해안해양공학회지
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    • 제3권4호
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    • pp.185-196
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    • 1991
  • 좌표변환된 측방향 평균 X-Z 수치모형을 수립하여 하구에서 염도확산을 분석하였다. 중력항과 깊이에 따른 밀도변화에 대한 검토와 염도 경계조건의 재평가 등이 이루어 졌으며, 특히 지배방정식중 확산항의 처리에 시간분별방법(fractional step method)을 이용하여 수치해의 안정성 및 간편성을 도모하였다. 개발된 모형을 금강하구에 실제 적용하여 Manning 계수·확산계수 등의 물리적 및 수치적인 특성을 조명하였고, 염도 확산범위를 비롯하여 갈수기의 영향과 대조 및 소조시 염도분포도 파악하였다.

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Decaying/Expanding Distribution of RDPS in the Half Section of a Dispersion-Managed Optical Link Combined with Mid-Span Spectral Inversion

  • Lee, Seong-Real
    • Journal of information and communication convergence engineering
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    • 제17권4호
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    • pp.227-233
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    • 2019
  • In long-haul optical communication system consisting of standard single-mode fiber spans and fiber amplifiers, such as the erbium-doped fiber amplifier, performance is deteriorated by signal distortion due to chromatic dispersion and nonlinearity of the fiber. A combination of dispersion management and optical phase conjugation is an effective technique to compensate for the distortion. In an optical link configured by this combination, a dispersion map mainly affects the compensation of the distorted optical signals. This paper proposes new dispersion maps configured by the decaying or expanding distribution of residual dispersion per span (RDPS) in a dispersion-managed link combined with a midway optical phase conjugator. The effect of the proposed dispersion maps on the compensation for distorted 24 channel × 40 Gbps wavelength-division multiplexed signals was assessed through numerical simulation. It was confirmed that all the proposed dispersion maps are most appropriate for the compensation and, furthermore, for the flexibility of link configuration than conventional links.

Effective time-frequency characterization of Lamb wave dispersion in plate-like structures with non-reflecting boundaries

  • Wang, Zijian;Qiao, Pizhong;Shi, Binkai
    • Smart Structures and Systems
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    • 제21권2호
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    • pp.195-205
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    • 2018
  • Research on Lamb wave-based damage identification in plate-like structures depends on precise knowledge of dispersive wave velocity. However, boundary reflections with the same frequency of interest and greater amplitude contaminate direct waves and thus compromise measurement of Lamb wave dispersion in different materials. In this study, non-reflecting boundaries were proposed in both numerical and experimental cases to facilitate time-frequency characterization of Lamb wave dispersion. First, the Lamb wave equations in isotropic and laminated materials were analytically solved. Second, the non-reflecting boundaries were used as a series of frames with gradually increased damping coefficients in finite element models to absorb waves at boundaries while avoiding wave reflections due to abrupt property changes of each frame. Third, damping clay was sealed at plate edges to reduce the boundary reflection in experimental test. Finally, the direct waves were subjected to the slant-stack and short-time Fourier transformations to calculate the dispersion curves of phase and group velocities, respectively. Both the numerical and experimental results suggest that the boundary reflections are effectively alleviated, and the dispersion curves generated by the time-frequency analysis are consistent with the analytical solutions, demonstrating that the combination of non-reflecting boundary and time-frequency analysis is a feasible and reliable scheme for characterizing Lamb wave dispersion in plate-like structures.

동해 전파특성을 고려한 지진해일 모의 (Numerical Simulation of Tsunamis Considering the Characteristics of Propagation in the East Sea)

  • 손대희;최문규;손일수;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2007년도 정기총회 및 학술발표대회
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    • pp.172-176
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    • 2007
  • In this study, the numerical model for simulation of tsunamis is constructed by using the dispersion-correction scheme, 2nd upwind scheme, dynamic linking method, and so forth. The composed numerical model is used to simulate a hitorical tsunami event. The target tsunami event is the 1983 Central East Sea Tsunami. And, the predicted run-up heights of the tsunami at Imwon port are very reasonable compared to available observed data.

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거친 균열 암반에서의 용질 입자 확산에 대한 수치적 연구 (A Numerical Study on Dispersion of Inert Particles in a Rough Single Fracture)

  • 정우창
    • 한국지반환경공학회 논문집
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    • 제7권5호
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    • pp.79-87
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    • 2006
  • 본 논문은 매끄럽거나 거친 단일 균열에서의 용질 이동을 모의하기 위해 개발된 수치모형을 통해 용질 입자의 확산에 수치적 연구를 수행한 것이다. 단일 균열의 조도는 프랙탈 방법을 통해 표현되었으며, 본 연구에서 사용된 3차원 이동 모형은 random walk 기법에 근거하여 개발하였다. 모의실험 결과 단일 균열내에서의 용질 입자의 확산은 균열의 조도와 입자의 크기에 큰 영향을 받는 것으로 나타났다.

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