• Title/Summary/Keyword: Numerical Dispersion

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Analysis of the Propagation Characteristics of Ultrasonic Guided Waves Excited by Single Frequency and Broadband Sources

  • Kang, To;Song, Sung-Jin;Kim, Hak-Joon;Cho, Young-Do;Lee, Dong-Hoon;Cho, Hyun-Joon
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.6
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    • pp.570-578
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    • 2009
  • Excitation and propagation of guided waves are very complex problems in pipes due to their dispersive nature. Pipes are commonly used in the oil, chemical or nuclear industry and hence must be inspected regularly to ensure continued safe operation. The normal mode expansion(NME) method is given for the amplitude with which any propagating waveguide mode is generated in the pipes by applied surface tractions. Numerical results are calculated based on the NME method using different sources, i.e., non-axisymmetric partial loading and quasi-axisymmetric loading sources. The sum of amplitude coefficients for 0~nineth order of the harmonic modes are calculated based on the NME method and the dispersion curves in pipes. The superimposed total field which is namely the angular profile, varies with propagating distance and circumferential angle. This angular profile of guided waves provides information for setting the transducer position to find defects in pipes.

A Study on the Applicability of Numerical Analysis for the SASW Method (SASW 기법에 대한 수치해석 적용성 연구)

  • 김동수;윤종구;이병식;박형춘
    • Journal of the Korean Geotechnical Society
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    • v.17 no.1
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    • pp.67-76
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    • 2001
  • 현장지반의 최대전단탄성계수를 신속하고 합리적으로 구할 수 있는 표면파기법에 대해 유한요소법을 이용하여 시뮬레이션 할 경우 적용할 수 있는 효율적인 해석조건에 대한 연구를 수행하였다. 본 연구결과 파의 전파형상을 효율적으로 묘사하기 위하여는 관심 있는 최소 파장에 대한 유한요소 크기의 비가 매우 중요한 요소임을 확인하였고, 데이터의 측정시간간격도 중요한 요소임을 확인하였다. 또한, 유한요소해석을 이용하여 얻은 반무한체 시스템과 2층 시스템의 분산곡선과 이론적 분산곡선이 비교적 잘 일치함을 볼 수 있었다. 따라서, 유한요소해석을 적절히 적용하는 경우에 표면파기법을 효과적으로 시뮬레이션 할 수 없음을 확인하였다. 현장지반의 최대전단탄성계수를 신속하고 합리적으로 구할 수 있는 표면파기법에 대해 유한요소법을 이용하여 시뮬레이션 할 경우 적용할 수 있는 효율적인 해석조건에 대한 연구를 수행하였다. 본 연구결과 파의 전파형상을 효율적으로 묘사하기 위하여는 관심 있는 최소 파장에 대한 유한요소 크기의 비가 매우 중요한 요소임을 확인하였고, 데이터의 측정시간간격도 중요한 요소임을 확인하였다. 또한, 유한요소해석을 이용하여 얻은 반무한체 시스템과 2층 시스템의 분산곡선과 이론적 분산곡선이 비교적 잘 일치함을 볼 수 있었다. 따라서, 유한요소해석을 적절히 적용하는 경우에 표면파기법을 효과적으로 시뮬레이션 할 수 없음을 확인하였다.

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DARK MATTER CONTENT IN GLOBULAR CLUSTER NGC 6397

  • Shin, Jihye;Kim, Sungsoo S.;Lee, Young-Wook
    • Journal of The Korean Astronomical Society
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    • v.46 no.4
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    • pp.173-181
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    • 2013
  • We trace the dynamical evolution of dark matter (DM) content in NGC 6397, one of the native Galactic globular clusters (GCs). The relatively strong tidal field (Galactocentric radius of ~ 6 kpc) and short relaxation timescale (~0.3 Gyr) of the cluster can cause a significant amount of DM particles to evaporate from the cluster in the Hubble time. Thus, the cluster can initially contain a non-negligible amount of DM. Using the most advanced Fokker-Planck (FP) method, we calculate the dynamical evolution of GCs for numerous initial conditions to determine the maximum initial DM content in NGC 6397 that matches the present-day brightness and velocity dispersion profiles of the cluster. We find that the maximum allowed initial DM mass is slightly less than the initial stellar mass in the cluster. Our findings imply that NGC 6397 did not initially contain a significant amount of DM, and is similar to that of NGC 2419, the remotest and the most massive Galactic GC.

Improvement of Bit Error Rate of 16×40 Gbps NRZ-formated WDM Signals over 1,000km NZ-DSF using MSSI with Optimal Parameters (1,000km의 비 영 분산 천이 광섬유로 구성된 WDM 시스템에서 최적 파라미터를 갖는 MSSI를 이용한 NRZ 형식의 16×40 Gbps WDM 신호의 비트 에러율 개선)

  • Lee, Young Kyo
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.6 no.3
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    • pp.111-119
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    • 2010
  • In this paper the numerical methods of finding out the optimal position of optical phase conjugator (OPC) and the optimal fiber dispersion are proposed, which are able to effectively compensate overall channels in $16{\times}40$ Gbps WDM system. And the compensation characteristics in the system with two induced optimal parameters are compared with those in the system with the currently used mid-span spectral inversion (MSSI) in order to confirm the availability of the proposed methods. It is confirmed that the reception performances are largely improved in the system with the induced optimal parameters than in the system with MSSI through the analyzing the eye opening penalty (EOP) and bit error rate (BER) characteristics. It is also confirmed that two optimal parameters depend on each other, but are less related with the procedural problem about the first optimal value among these parameters.

Study on the numerical models of turbulent dispersion of solid particles in a two-phase turbulent jet flow (이상난류제트 유동에서 고체입자 난류확산의 수치모델에 관한 연구)

  • 양선규;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.1-18
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    • 1987
  • Prediction performances by Einstein's equation of diffusivity, Peskin's model, Three-Equation model, Four-Equation model and Algebraic Stress Model, have been compared by analyzing twophase (air-solid) turbulent jet flow. Turbulent kinetic energy equation of dispersed phase was solved to investigate effects of turbulent kinetic energy on turbulent diffusivity. Turbulent kinetic energy dissipation rate of particles has been considered by solving turbulent kinetic energy dissipation rate equation of dispesed phase and applying it to turbulent diffusivity of dispersed phase. Results show that turbulent diffusivity of dispersed phase can be expressed by turbulent kinetic energy ratio between phases and prediction of turbulent kinetic energy was improved by considering turbulent kinetic energy dissipation rate of dispersed phase for modelling turbulent diffusivity. This investigation also show that Algebraic Stress Model is the most promising method in analyzing gas-solid two phaes turbulent flow.

Quantitative Analysis for the Effects of Hydraulic Variables on the Formation of Freshwater-Saltwater Transition Zones in Aquifers (수리 변수들이 대수층 내의 담수 해수 - 확산대의 형성에 미치는 영향에 대한 정량적 분석)

  • 박남식
    • Water for future
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    • v.28 no.2
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    • pp.137-143
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    • 1995
  • The location and the shape of freshwater-saltwater transition zones in coastal aquifers are affected by many hydraulic variables. To date most work to determine the effects of these variables are limited to qualitative comparison of transition zones. In this work characteristics of transition zones (maximum intrusion length, thickness, and degree of stratification) are quantified, and effects of principal hydraulic variables(velocity and dispersivity) on these characteristics are studied using a numerical model. Dimensional analysis is used to assemble entire model results. Effects of velocity and dispersivity are seen clearly. From this study, increase in velocity is found to cause shrinkage of transition zones. This observation contradicts claims by some that, because dispersion is proportional to velocity, increase in velocity would cause expansion of transition zones.

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A depth-integrated numerical model considering the secondary flows in the channel bend (만곡부 이차류 특성을 고려한 수심 적분된 2차원 수치모형)

  • Kim, Tae-Beom;Choi, Byung-Woong;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.555-559
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    • 2009
  • 난류응력은 순간속도성분을 시간평균성분과 편차성분의 합으로 보고 Navier-Stokes 방정식으로부터 Reynolds 방정식을 유도할 때 나타나게 된다. Reynolds 방정식으로부터 수심 적분된 천수방정식을 유도하는 과정에서 시간 평균된 유속성분을 수심 적분된 유속성분과 편차성분의 합으로 본다면, 분산응력 (dispersion stress)이라고 하는 추가적인 새로운 항이 잔류하게 된다. 점성응력, 난류응력, 그리고 분산응력을 통칭하여 유효응력 (effective stress)이라고 한다. 일반적으로 수심에 비해 수로 폭이 넓은 개수로에서는 유효응력이 흐름특성의 수치 근사해에 큰 영향을 미치지 못한다고 가정하여 2차원 수심적분 모형에서 유효응력을 생략하기도 한다. 또한 유효응력을 적용하더라도, 점성응력이 난류응력에 비해 무시할 만큼 작다고 가정하여 난류응력만을 적용하며, 분산응력은 무시된다. 하지만 만곡부에서는 원심력과 편수위로 인한 횡방향 압력의 불균형이 발생하기 때문에, 만곡부의 이차류가 발생되며, 유속의 연직방향 분포도 일정하지 않게 된다. 따라서 본 연구의 목적은 만곡부의 이차류 특성을 수심적분 2차원 모형에 반영하기 위해 분산응력을 고려한 모형의 개발 및 검증이다. 불규칙한 모의영역을 원활히 나타낼 수 있도록 곡선좌표계를 사용하는 여타 모형들과 달리 유한유소법을 이용하여 수치해를 구하며, 따라서 x, y 좌표축을 사용하는 데카르트 좌표계를 사용하여 지배방정식을 나타낸다. 분산응력의 유 무에 따른 수치결과를 Rozovskii의 $180^{\circ}$ 만곡수로 실내실험 자료와 비교하여 개발 모형을 검증한다.

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A Numerical Study of Atmospheric Pollutant Dispersionon over South Korea on Sunny Summer Days (남한 지역에서 여름철 맑은 날의 대기 오염물 확산에 대한 수치적 연구)

  • 이태영;김승범
    • Journal of Environmental Science International
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    • v.5 no.4
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    • pp.411-427
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    • 1996
  • A Lagrangian dispersion model has been developed to study the transport of atmospheric pollutants over the southern Korean peninsula on sunny summer days. A mesoscale atmospheric model has been employed to provide the wind fields and information for turbulent diffusion for the calculation of trajectories using a conditioned particle technique. The model has been applied to the simulation of the transport of atmospheric pollutants emitted from five sources in the coastal locations under various synoptic scale winds. Under calm synoptic scale condition, the particles emitted during daytime are mixed vertically and transported toward inland by sea-breeze, according to the model simulation. The particles are then transported upward at she sea-breeze front or by the upward motion over the mountain, and some particles show tendency of returning toward the coast by the return flow of the sea-breeze circulation. The particles are found to remain over the peninsula throughout the integration period under calm synoptic scale condition. When there is westerly synoptic scale winds the particles emitted in the west coast can reach the east coast within a day of faster depending on the speed. With a synoptic scale southerly wind of 5 m/s, most of the particles from the fine sources are advected toward inland during daytime. During nighttime, significant portion of particles released in the west coast remains over the land, while most particles released in the east coast move toward the sea to the east of the middle peninsula.

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Nonlinear Dispersion Model of Sea Waves in the Coastal Zone (연안역에서의 비선형 파낭 분산모형)

  • Pelinovsky, Efim N.;Stepanyants, Yu.;Talipova, Tatiana
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.307-317
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    • 1993
  • The problem of sea wave transformation in the coastal zone taking into account effects of nonlinearity and disperison has been studied. Mathematical model for description of regular wave transformation is based on the method of nonlinear ray theory. The equations for rays and wave field have been produced. Nonlinear wave field is described by the modified Korteweg-de Vries equation. Some analytical solutions of this equation are obtained. Caustic transformation and dissipation effects are included in the mathematical model. Numerical algorithm of solution of the Korteweg-de Vries equation and its stability criterion are described. Results of nonlinear transformation of sea waves in the coastal zone are demonstrated.

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On Propagation of Love waves in dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space

  • Gupta, Shishir;Ahmed, Mostaid
    • Earthquakes and Structures
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    • v.12 no.6
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    • pp.619-628
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    • 2017
  • The intent of this paper is to investigate the propagation of Love waves in a dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space. Separate displacement components have been deduced in order to characterize the dynamics of individual materials. Using suitable boundary conditions, the frequency equation has been derived by means of separation of variables which reveals the significant role of reinforcement parameters, sandiness, thickness of layers, porosity and prestress on the wave propagation. The phase velocity of the Love wave has been discussed in accordance with its typical cases. In both cases when fiber-reinforced and dry sandy media are absent, the derived equation of Love type wave coincides with the classical Love wave equation. Numerical computations have been performed in order to graphically illustrate the dependencies of different parameters on phase velocity of Love waves. It is observed that the phase velocity decreases with the increase of parameters pertaining to reinforcement and prestress. The results have certain potential applications in earthquake seismology and civil engineering.