• Title/Summary/Keyword: Finite difference sensitivity

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An Eulerian-Lagrangian Hybrid Numerical Method for the Longitudinal Dispersion Equation (Eulerian-Lagrangian 혼합모형에 의한 종확산 방정식의 수치해법)

  • 전경수;이길성
    • Water for future
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    • v.26 no.3
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    • pp.137-148
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    • 1993
  • A hybrid finite difference method for the longitudinal dispersion equation was developed. The method is based on combining the Holly-Preissmann scheme with the fifth-degree Hermite interpolating polynomial and the generalized Crank-Nicholson scheme. Longitudinal dispersion of an instantaneously-loaded pollutant source was simulated by the model and other characteristics-based numerical methods. Computational results were compared with the exact solution. The present method was free from wiggles regardless of the Courant number, and exactly reproduced the location of the peak concentration. Overall accuracy of the computation increased for smaller value of the weighting factor, $\theta$ of the model. Larger values of $\theta$ overestimated the peak concentration. Smaller Courant number gave better accuracy, in general, but the sensitivity was very low, especially when the value of $\theta$ was small. From comparisons with the hybrid method using the third-degree interpolating polynomial and with split-operator methods, the present method showed the best performance in reproducing the exact solution as the advection becomes more dominant.

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A Comparative Study of Genetic Algorithm and Mathematical Programming Technique applied in Design Optimization of Geodesic Dome (지오데식 돔의 설계최적화에서 유전알고리즘과 수학적계획법의 비교연구)

  • Lee, Sang-Jin;Lee, Hyeon-Jin
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.101-106
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    • 2008
  • This paper describes a comparative study of genetic algorithm and mathematical programming technique applied in the design optimization of geodesic dome. In particular, the genetic algorithm adopted in this study uses the so-called re-birthing technique together with the standard GA operations such as fitness, selection, crossover and mutation to accelerate the searching process. The finite difference method is used to calculate the design sensitivity required in mathematical programming techniques and three different techniques such as sequential linear programming (SLP), sequential quadratic programming(SQP) and modified feasible direction method(MFDM) are consistently used in the design optimization of geodesic dome. The optimum member sizes of geodesic dome against several external loads is evaluated by the codes $ISADO-GA{\alpha}$ and ISADO-OPT. From a numerical example, we found that both optimization techniques such as GA and mathematical programming technique are very effective to calculate the optimum member sizes of three dimensional discrete structures and it can provide a very useful information on the existing structural system and it also has a great potential to produce new structural system for large spatial structures.

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A Three-Dimensional Numerical Model of Hydrodynamic Flow on σ-Coordinate (연직변환좌표(鉛直變換座標)에서 3차원(次元) 유동(流動) 수직모형(數値模型))

  • Jung, Tae Sung;Lee, Kil Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1145-1158
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    • 1994
  • A three-dimensional, finite difference, numerical model with free surface was developed on ${\sigma}$-coordinate. A semi-implicit numerical scheme in time has been adopted for computational efficiency. The scheme is essentially independent of the stringent stability criteria (CFL condition) for explicit schemes of external surface gravity wave. Implicit algorithm was applied for vertical shear stress, Coriolis force and pressure gradient terms. The reliability of the model with vertically variable grid system was checked by the comparison of simulation results with analytic solution of wind-driven currents in a one-dimensional channel. Sensitivity analysis of differencing parameters was carried out by applying the model to the calculation of wind-driven currents in a square lake.

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Fracture properties and tensile strength of three typical sandstone materials under static and impact loads

  • Zhou, Lei;Niu, Caoyuan;Zhu, Zheming;Ying, Peng;Dong, Yuqing;Deng, Shuai
    • Geomechanics and Engineering
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    • v.23 no.5
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    • pp.467-480
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    • 2020
  • The failure behavior and tensile strength of sandstone materials under different strain rates are greatly different, especially under static loads and impact loads. In order to clearly investigate the failure mechanism of sandstone materials under static and impact loads, a series of Brazilian disc samples were used by employing green sandstone, red sandstone and black sandstone to carry out static and impact loading splitting tensile tests, and the failure properties subjected to two different loading conditions were analyzed and discussed. Subsequently, the failure behavior of sandstone materials also were simulated by finite element code. The good agreement between simulation results and experimental results can obtain the following significantly conclusions: (1) The relationship of the tensile strength among sandstone materials is that green sandstone < red sandstone < black sandstone, and the variation of the tensile sensitivity of sandstone materials is that green sandstone > red sandstone > black sandstone; (2) The mainly cause for the difference of dynamic tensile strength of sandstone materials is that the strength of crystal particles in sandstone material, and the tensile strength of sandstone is proportional to the fractal dimension; (3) The dynamic failure behavior of sandstone is greatly different from that of static failure behavior, and the dynamic tensile failure rate in dynamic failure behavior is about 54.92%.

Temperature Characteristics of Solid State Flow Velocity/Mass Sensor (반도체형 유속/유량센서의 온도특성)

  • Choi, Jai-Gun;Kim, Hyung-Pyo;Park, Se-Kwang
    • Journal of Sensor Science and Technology
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    • v.4 no.2
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    • pp.29-36
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    • 1995
  • A constant solid state flow velocity/mass sensor has been fabricated and its characteristics were measured according to flow velocity and fluid temperature. Parameters of the sensor circuit were obtained by simulation using finite difference method. Sensitivity was 10mW/(cm/sec) in the range of flow velocity 0-45cm/sec and response time was within two seconds. For the experiment of fluid temperature variation, the sensor output was compensated at the rate of temperature variation $0.1^{\circ}C/min$, however, with the rate of $0.2^{\circ}C/min$ it took two minutes to be compensated. Since it is not quite often to have such a rate of temperature variation of $0.2^{\circ}C/min$ or more, the developed sensor output can be used for most applications to detect small amount of flow-rate.

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An Applicable Method of an Electromagnetic Wave Absorber for SAR Reduction in the Human Head Exposed to Electromagnetic Fields Radiated by a Cellular Phone (휴대폰 전자파에 노출된 두부내 SAR 저감을 위한 전자파 흡수체 적용 방법 연구)

  • 이윤경;백락준;홍진옥;육재림;윤현보
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.8
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    • pp.884-890
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    • 2003
  • In order to reduce the specific absorption rate(SAR) in a human head exposed to electromagnetic fields radiated by a cellular phone, we have analyzed an electromagnetic wave absorber attached to the handset. A manufactured electromagnetic wave absorber was composed of Mn - Zn, which had complex relative permittivity of 7.30-j0.05 and permeability of 2.20-i1.55. The SAR value from the electromagnetic wave absorber attachment was calculated by using the nonuniform finite difference time domain(FDTD) algorithm and measured by phantom model at 835 MHz. The SAR reduction due to the electromagnetic wave absorber are about 18 % at 835 MHz. The V.S.W.R and radiation pattern of antenna are good agreement with the normal antenna. The gain reduction due to the electromagnetic wave absorber are only 0.3 dB at 835 MHz. But the sensitivity of cellular phone generally improves about 1 dB.

Optical Characteristics of Plasmonic Nano-structure Using Polystyrene Nano-beads (폴리스티렌 나노 비드를 이용한 플라즈모닉 나노 구조체의 광학 특성)

  • Kim, Doo Gun;Jung, Byung Gue;Kim, Hong-Seung;Kim, Tae-Ryong;Kim, Seon-Hoon;Ki, Hyun-Chul;Kim, Tae-Un;Shin, Jae Cheol;Choi, Young-Wan
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.28 no.4
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    • pp.244-248
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    • 2015
  • We proposed and demonstrated the double layered metallic nano-hole structure using polystyrene beads process to enhance the sensitivity of surface plasmon resonance (SPR). The double layered SPR structures are calculated using the finite-difference time-domain (FDTD) method for the width, thickness, and period of the metallic nano-hole structures. The thickness of the metal film and the metallic nano-hole is 30 and 20 nm in the 214 nm wide nano-hole size, respectively. The double layered SPR structures are fabricated with monolayer polystyrene beads of 420 nm wide. The sensitivities of the conventional SPR sensor and the double layered SPR sensor are obtained to 42.2 and 52.1 degree/RIU, respectively.

Piezo-activated guided wave propagation and interaction with damage in tubular structures

  • Lu, Ye;Ye, Lin;Wang, Dong;Zhou, Limin;Cheng, Li
    • Smart Structures and Systems
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    • v.6 no.7
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    • pp.835-849
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    • 2010
  • This study investigated propagation characteristics of piezo-activated guided waves in an aluminium rectangular-section tube for the purpose of damage identification. Changes in propagating velocity and amplitude of the first wave packet in acquired signals were observed in the frequency range from 50 to 250 kHz. The difference in guided wave propagation between rectangular- and circular-section tubes was examined using finite element simulation, demonstrating a great challenge in interpretation of guided wave signals in rectangular-section tubes. An active sensor network, consisting of nine PZT elements bonded on different surfaces of the tube, was configured to collect the wave signals scattered from through-thickness holes of different diameters. It was found that guided waves were capable of propagating across the sharp tube curvatures while retaining sensitivity to damage, even that not located on the surfaces where actuators/sensors were attached. Signal correlation between the intact and damaged structures was evaluated with the assistance of a concept of digital damage fingerprints (DDFs). The probability of the presence of damage on the unfolded tube surface was thus obtained, by which means the position of damage was identified with good accuracy.

Three-dimensional Resistivity Inversion Including Topographic Effect (지형효과를 포함한 3차원 전기비저항 역산)

  • 박종오;김희준;송무영
    • The Journal of Engineering Geology
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    • v.14 no.1
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    • pp.21-28
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    • 2004
  • Three-dimensional (3-D) resistivity inversion including a topographic effect can be considered theoretically to be the technique of acquiring the most accurate image in the interpretation of resistivity data, because it includes characteristic image that the actual subsurface structure is 3-D. In this study, a finite-element method was used as the numerical method in modeling, and the efficiency of Jacobian calculation has been maximized with sensitivity analysis for the destination block in inversion process. Also, during the iterative inversion, the resolution of inversion can be improved with the method of selecting the optimal value of Lagrange multiplier yielding minimum RMS(root mean square) error in the parabolic equation. In this paper, we present synthetic examples to compare the difference between the case which has the toprographic effect and the other case which has not the effect in the inversion process.

Numerical Model for Cross-Shore Sediment Transport (해안선 횡방향의 표사이동 예측모형)

  • 이철응;김무현
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.1
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    • pp.57-69
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    • 1995
  • The development of a finite difference model for cross-shore sediment transport prediction in the surf tone due to the storm surge event is presented in this paper. Using the inhomogeneous diffusion equation with moving boundaries. the present numerical model is found to be robust and efficient and does not possess a number of restrictions imposed in Kriebel and Dean's(1985) numerical model. Our numerical model is validated through comparison with the analytical solution. the data of a large-scale experiment and the field data of Hurricane Eloise. The Present model if able to predict the averaged volumetric erosion rate of a beach due to the time-varying real storm surge hydrographs and satisfies the conservation of sediment between eroded volume in the onshore region and deposited volume in the offshore region. In addition. the present model is able to reasonably predict the recession of a beach with wide berm and dune. and can describe the change of a breaking point by the offshore deposition. From the sensitivity analysis or the present numerical model with various input parameters, it is concluded that the present numerical model is able to analyze the beach change in a reliable manner including the effects of different sizes of sediments.

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