• Title/Summary/Keyword: 2차원 계산

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Parameter Estimation of Chiu's Two Dimensional Velocity Distribution Equations (Chiu-2차원 유속분포식의 매개변수 추정)

  • Kim, Yongseok;Yang, Sungkee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.366-366
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    • 2017
  • 하천의 유량관측 자료는 지표수자원의 확보와 수공구조물의 설계를 위해 가장 기초적인 수문자료로써 정밀하고 지속적인 관측을 요구한다. 최근 유량 관측법은 접촉식 유속측정 방법의 단점을 보완한 전자파 표면유속계나 영상분석기법을 적용한 표면영상유속계(SIV)가 활용되고 있다. 이들 관측장비는 표면유속 관측법에 의해 유량을 측정하므로 보다 정밀한 유량자료를 확보하기 위해서는 측정 영역의 표면유속과 단면의 평균유속에 대한 해석이 필요하다. 이 연구에서는 제주도 남부지역에 위치한 강정천을 대상으로 2011년 7월부터 2015년 6월 까지 월 1~2회 현장관측한 ADCP 자료를 활용하여 Chiu(1987)가 제안한 2차원 유속분포식의 매개변수를 추정하여 정밀한 유량을 산정하였다. 또한 표면영상유속계(SIV)로 산정된 표면유속을 Chiu-2 차원 유속분포식에서 평균유속으로 환산하여 기존의 표면유속을 일률적으로 적용한 수심평균유속 환산계수인 0.85의 적용 값과 비교 분석하였다. 대상하천의 현장에서 72회 관측된 ADCP 자료를 활용하여 각각의 최대유속과 평균유속을 분석하고 엔트로피 계수(M)를 산정한 결과와 유속의 공간적 분포를 모델링하기 위해 제시되는 $_{urf}$를 산정하였으며, 산정된 계수 값을 이용하여 표면유속을 계산한 결과와 ADCP의 관측된 표면유속의 $^2$는 0.874로 나타났다. 이러한 결과는 Chiu-2차원 유속분포식을 연구대상하천에 적용하는 과정에서 추정되는 매개변수의 평균값 사용에 대한 타당성을 보여준다. 이 후 추정된 하천매개변수를 하천현장에 적용성 확인을 위해 강정천의 동일 관측지점에서 표면영상유속계(SIV)를 사용한 표면유속과 유량을 산정함과 동시에 ADCP에 의한 유속 및 유량과 비교 분석하였다. 표면영상유속계(SIV)로 분석된 유속 벡터를 Chiu-2차원 유속분포식에 적용하여 산정된 유량과 기존의 수심평균유속환산계수 0.85를 적용한 유량은 각각 $0.7171m^3/s$과 0$0.5758m^3/s$였다. ADCP 평균유량 $0.6664m^3/s$과의 오차율은 각각 7.63%, 13.64%로 나타나 Chiu-2차원 유속분포식을 적용한 유량이 수심평균유속환산계수 0.85를 적용한 유량에 비해 작은 오차율을 보였다.

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Development of a Laterally Averaged 2-Dimensional Model for Saltwater Intrusion in Estuary (하구의 염수침입을 해석하기 위한 연직 2차원 수치모형 개발)

  • Lee, Jong-Uk;Lee, Bong-Hui;Jo, Yong-Sik;Yun, Tae-Hun
    • Journal of Korea Water Resources Association
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    • v.34 no.1
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    • pp.19-30
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    • 2001
  • A laterally averaged 2-dimensional hydrodynamic model is newly developed. The coordinate system is first transformed to minimize the effects of irregularity of bottom and surface. The advection terms of the governing equations are then discretized by an upwind scheme. By employing an explicit scheme for longitudinal direction and an implicit scheme for vertical direction, the model is free from restriction of temporal step size caused by a relatively small grid ratio. To demonstrate the applicability of the model, calculated time histories of free surface displacements and distributions of velocity and salinity are compared with the field measurements of the Keum River Estuary before construction of the estuary dam. A reasonable agreement is observed between them.

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Evaluation of Inverse Fourier Integral Considering the Distances from the Source Point in 2D Resistivity Modeling (전기비저항탐사 2차원 모델링에서 송수신 간격을 고려한 푸리에 역변환)

  • Cho, In-Ky;Jeong, Da-Bhin
    • Geophysics and Geophysical Exploration
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    • v.21 no.1
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    • pp.1-7
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    • 2018
  • In the two-dimensional (2D) modeling of electrical method, the potential in the space domain is reconstructed with the calculated potentials in the wavenumber domain using inverse Fourier transform. The inverse Fourier integral is numerically evaluated using the transformed potential at different wavenumbers. In order to improve the precision of the integration, either the logarithmic or exponential approximation has been used depending on the size of wavenumber. Two numerical methods have been generally used to evaluate the integral; interval integration and Gaussian quadrature. However, both methods do not consider the distance from the current source. Thus the resulting potential in the space domain shows some error. Especially when the distance from the current source is very small or large, the error increases abruptly and the evaluated potential becomes extremely unstable. In this study, we developed a new method to calculate the integral accurately by introducing the distance from the current source to the rescaled Gauss abscissa and weight. The numerical tests for homogeneous half-space model show that the developed method can yield the error level lower than 0.4 percent over the various distances from the current source.

Two-dimensional Modeling and Inversion of MT Data Including Topography (지형을 포함한 MT 탐사 자료의 2차원 모델링과 역산)

  • Lee Seong Kon;Song Yoonho;Kim Jung-Ho;Chung Seung-Hwan
    • Geophysics and Geophysical Exploration
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    • v.5 no.4
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    • pp.291-298
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    • 2002
  • We have developed a two-dimensional (2-D) magnetotelluric (MT) inversion algorithm, which can include topographic effects in inversion. We use the finite element method (FEM) to incorporate topography into forward calculation. Topography is implemented simply by moving nodes of rectangular elements in z-direction according to the elevation of air-earth interface. In the inversion process, we adopt a spatially variable Lagrangian multiplier algorithm in the smoothness-constrained least-squares inversion. The inversion algorithm developed in this study reconstructs subsurface resistivity structure quite well when topography variation exists. Also, it turns out to be effective in both resolution and stability from a model study and field data application.

Solute Transport Modeling using Streamline Simulation in a Heterogeneous Aquifer with Multiple Contaminant Sources (불균질 대수층에서 유선 시뮬레이션을 이용한 다수 오염원의 용질 이동 모사)

  • Jung Seung-Pil;Choe Jong-Geun
    • Journal of Soil and Groundwater Environment
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    • v.10 no.3
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    • pp.24-31
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    • 2005
  • This study presents a contaminant transport model suitable for a 2-dimensional heterogeneous aquifer with multiple contaminant sources. It uses a streamline simulation, which transforms a multi-dimensional problem into multiple 1dimensional problems. It runs flow simulation, streamline tracking, and calculation of contaminant concentrations by turns. The model is verificated with a Visual MODFLOW by comparing contaminant concentration distributions and breakthrough curves at an observation well. Due to its fast simulation, it can be applied to time consuming simulations such as in a fine-grided aquifer, an inverse modeling and other applications.

A Numerical Study on a Circulation Control Foil using Coanda Effect (코앤다 효과를 이용한 순환 제어 날개의 수치적 연구)

  • J.J. Park;S.H. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.2
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    • pp.70-76
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    • 2000
  • A numerical study on the viscous flow around a 2-dimensional circulation control foil is carried out for application on the field of naval architecture and ocean engineering. The governing equations are the RANS and the continuity equations. The equations are discretized by finite difference method and MAC method and the pressure poisson equation is calculate by a SOR method and an O-type non-staggered boundary fitted coordinate system which is overlapped near the slot is used to improve the numerical accuracy. Turbulence is approximated by a modified Baldwin-Lomax turbulence model. In the present paper, the Coanda effect on a 2-dimensional foil of a 20% thickness ellipse with modified rounded trailing edge has been numerically studied. The change in drag and lift of the foil with various jet momentums are calculated and compared to the experimental results to show good agreements.

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Estimation of Conductivity Tensor of Fractured Rocks from Single-hole Packer test (단정 주입시험 결과를 이용한 단열암반의 수리전도도 분석)

  • 장근무;이은용;김창락;이찬구;김현주
    • The Journal of Engineering Geology
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    • v.10 no.1
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    • pp.13-25
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    • 2000
  • A three-dimensional discrete fracture network model based on probabilistic characteristics of fracture geometry and transmissivity was designed to calculate the conductivity tensor and to estimate theanisotropy of conductivity. The conductivities, $K_p$, obtained from the numerical simulation of single-holepacker test corresponded well to those from the field tests. From this, it can be concluded that thefracture network model designed in this study can represent hydraulic characteristics of in-situ fractured rock mass. Block-scale conductivities, $K_b$, estimated from the modelling of steady-state flow through the REV-scale block were ranged between the arithmetic mean and harmonic mean of theconductivity estimates from packer tests. The conductivity along north-south direction was 1.4 timesgreater than that along the east-west direction. It was concluded that the anisotropy of conductivitywas insignificant. It was also found that there was a little correlation between $K_b$ and $K_p$. This would be to that the conductivities from the packer test simulation was strongly dependent on thetransmissivity and the number of fractures within the packer test intervals.

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'EVE-SoundTM' Toolkit for Interactive Sound in Virtual Environment (가상환경의 인터랙티브 사운드를 위한 'EVE-SoundTM' 툴킷)

  • Nam, Yang-Hee;Sung, Suk-Jeong
    • The KIPS Transactions:PartB
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    • v.14B no.4
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    • pp.273-280
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    • 2007
  • This paper presents a new 3D sound toolkit called $EVE-Sound^{TM}$ that consists of pre-processing tool for environment simplification preserving sound effect and 3D sound API for real-time rendering. It is designed so that it can allow users to interact with complex 3D virtual environments by audio-visual modalities. $EVE-Sound^{TM}$ toolkit would serve two different types of users: high-level programmers who need an easy-to-use sound API for developing realistic 3D audio-visually rendered applications, and the researchers in 3D sound field who need to experiment with or develop new algorithms while not wanting to re-write all the required code from scratch. An interactive virtual environment application is created with the sound engine constructed using $EVE-Sound^{TM}$ toolkit, and it shows the real-time audio-visual rendering performance and the applicability of proposed $EVE-Sound^{TM}$ for building interactive applications with complex 3D environments.

Application of the HELIOS-MASTER Code System on the Criticality Analysis for the SMART-P Spent Fuel Storage (SMART연구로 사용후 연료 저장조의 임계해석에 HELIOS-MASTER계산체계의 적용)

  • Kim, Ha-Yong;Koo, Bon-Seung;Kim, Kyo-Youn;Lee, Chung-Chan;Zee, Sung-Quun
    • Journal of Radiation Protection and Research
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    • v.30 no.2
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    • pp.61-67
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    • 2005
  • The criticality analysis method using HELIOS-MASTER code system, which is the nuclear core analysis code system, was developed for the spent fuel storage of SMART-P reactor. We generated the macroscopic cross section of the geometric model with HELIOS and estimated the criticality of the 3-dimensional model with MASTER for SMART-P spent fuel storage. The validity of criticality analysis method for SMART-P spent fuel storage with the HELIOS-MASTER code system by 3-D MCNP calculation was also verified. The result of the criticality analysis with the HELIOS-MASTER code system is more conservative than that with the MCNP and the accuracy of this result is within the range of an allowable error. Because HELIOS-MASTER can perform the 3-D depletion calculation lot a spent fuel storage, it will be useful to perform the criticality analysis including a burnup credit in future.

On the Removal of Irregular Frequencies in the Prediction of Ship Motion in Waves (파랑중에서 전진동요하는 선박의 특이파수 억제에 관한 연구)

  • H.Y. Lee;D.J. Yum
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.73-81
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    • 1994
  • The source and source/dipole distribution methods using 3-dimensional panel method have been widely used for ship motion analysis. When these methods are used, large errors in the predicted hydrodynamic coefficients are introduced around the irregular frequencies caused by the resonance of imaginary internal flow. Therefore, the irregular frequencies need to be removed for an accurate prediction of ship motion. This paper adopts 3-dimensional translating and oscillating Green function derived by Wu. The adaptive integration method, stretching transform and stationary phase method are used for the calculation of the calculation of Green function and the integral equation is derived by distributing the Green function n ship surface and inner free-surface. The condition of zero normal velocity, that is, wall condition on inner free-surface has been successfully used for the removal of irregular frequencies in oscillating problems. The calculations are carried out for series 60($C_B=0.7$) vessel and the results are compared with those of other theoretical analyses and experiment.

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