• Title/Summary/Keyword: kinematic wave theory

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Polarization Precession Effects for Shear Elastic Waves in Rotated Solids

  • Sarapuloff, Sergii A.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.842-848
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    • 2013
  • Developments of Solid-State Gyroscopy during last decades are impressive and were based on thin-walled shell resonators like HRG or CRG made from fused quartz or leuko-sapphire. However, a number of design choices for inertial-grade gyroscopes, which can be used for high-g applications and for mass- or middle-scale production, is still very limited. So, considerations of fundamental physical effects in solids that can be used for development of a miniature, completely solid-state, and lower-cost sensor look urgent. There is a variety of different types of bulk acoustic (elastic) waves (BAW) in anisotropic solids. Shear waves with different variants of their polarization have to be studied especially carefully, because shear sounds in glasses and crystals are sensitive to a turn of the solid as a whole, and, so, they can be used for development of gyroscopic sensors. For an isotropic medium (for a glass or a fine polycrystalline body), classic Lame's theorem (so-called, a general solution of Elasticity Theory or Green-Lame's representation) has been modified for enough general case: an elastic medium rotated about an arbitrary set of axes. Travelling, standing, and mixed shear waves propagating in an infinite isotopic medium (or between a pair of parallel reflecting surfaces) have been considered too. An analogy with classic Foucault's pendulum has been underlined for the effect of a turn of a polarizational plane (i.e., an integration effect for an input angular rate) due to a medium's turn about the axis of the wave propagation. These cases demonstrate a whole-angle regime of gyroscopic operation. Single-crystals are anisotropic media, and, therefore, to reflect influence of the crystal's rotation, classic Christoffel-Green's tensors have been modified. Cases of acoustic axes corresponding to equal velocities for a pair of the pure-transverse (shear) waves have of an evident applied interest. For such a special direction in a crystal, different polarizations of waves are possible, and the gyroscopic effect of "polarizational precession" can be observed like for a glass. Naturally, formation of a wave pattern in a massive elastic body is much more complex due to reflections from its boundaries. Some of these complexities can be eliminated. However, a non-homogeneity has a fundamental nature for any amorphous medium due to its thermodynamically-unstable micro-structure, having fluctuations of the rapidly-frozen liquid. For single-crystalline structures, blockness (walls of dislocations) plays a similar role. Physical nature and kinematic particularities of several typical "drifts" in polarizational BAW gyros (P-BAW) have been considered briefly too. They include irregular precessions ("polarizational beats") due to: non-homogeneity of mass density and elastic moduli, dissymmetry of intrinsic losses, and an angular mismatch between propagation and acoustic axes.

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A Modified grid-based KIneMatic wave STOrm Runoff Model (ModKIMSTORM) (I) - Theory and Model - (격자기반 운동파 강우유출모형 KIMSTORM의 개선(I) - 이론 및 모형 -)

  • Jung, In Kyun;Lee, Mi Seon;Park, Jong Yoon;Kim, Seong Joon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.697-707
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    • 2008
  • The grid-based KIneMatic wave STOrm Runoff Model (KIMSTORM) by Kim (1998) predicts the temporal variation and spatial distribution of overland flow, subsurface flow and stream flow in a watershed. The model programmed with C++ language on Unix operating system adopts single flowpath algorithm for water balance simulation of flow at each grid element. In this study, we attempted to improve the model by converting the code into FORTRAN 90 on MS Windows operating system and named as ModKIMSTORM. The improved functions are the addition of GAML (Green-Ampt & Mein-Larson) infiltration model, control of paddy runoff rate by flow depth and Manning's roughness coefficient, addition of baseflow layer, treatment of both spatial and point rainfall data, development of the pre- and post-processor, and development of automatic model evaluation function using five evaluation criteria (Pearson's coefficient of determination, Nash and Sutcliffe model efficiency, the deviation of runoff volume, relative error of the peak runoff rate, and absolute error of the time to peak runoff). The modified model adopts Shell Sort algorithm to enhance the computational performance. Input data formats are accepted as raster and MS Excel, and model outputs viz. soil moisture, discharge, flow depth and velocity are generated as BSQ, ASCII grid, binary grid and raster formats.

Application of Soil Factor on the Aseismic Design (내진 설계시 지반계수의 합리적 적용에 대한 연구)

  • 이인모;임종석
    • Geotechnical Engineering
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    • v.9 no.1
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    • pp.7-20
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    • 1993
  • The first Korean earthquake resistant design code was enacted in 1988. In the code, the soil factor which takes into account both the soil amplification factor and the soil -structare interaction effect is divided into three groups : soil factor, 5 : 1.0, 1.2 and 1.5. In order to assist in choosing the soil factors appropriately in the earthquake resistant design, the local site effects on the based shear force induced by earthquakes are considered in depth for typical soil conditions in Korea. The depth of the alluvial and/or weathered zone is usually not deep and the fresh rock is found at depth shallower than 20 meters, and even at about 10 meters around Seoul. One dimensional wave propagation theory and the elastic half space method are used to obtain the soil -structure interaction effect as well as the soil amplification effect. The kinematic interaction effect due to scattering of waves by pile foundation is also considered. Finally, the soil factor is recommended for each soil condition from loose state to dense, and also from shallow soil depth to deep, so that the designer can choose the factor with-out difficulty.

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Runoff Analysis due to the Moving Rainstorms on the Nonsymmetric Basin Shapes (비대칭 유역형상에 대한 이동강우의 유출영향분석)

  • Jeon, Min-Woo
    • Journal of Wetlands Research
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    • v.11 no.1
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    • pp.1-13
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    • 2009
  • The influence of moving rainstorms to runoff was analysed for the nonsymmetric shaped basins using kinematic wave theory. The distribution types of moving rainstorms are uniform, advanced, delayed and intermediate type, the nonsymmetric shaped basins are square, oblong and elongated shape. The runoff hydrographs were simulated and the characteristics were compared with the symmetric shaped basins for the rainstorms moving up, down and cross the basins with various velocities. The smallest differences of peak runoff of symmetric and nonsymmetric basins are appeared in the case of elongated basin, and the largest differences are shown at the oblong basin for the downstream direction. The identical results are shown for the upstream direction. The greatest peak runoff differences are shown in the delayed type rainstorm and the smallest differences are in the advanced type rainstorm for the crossstream direction. The oblong shaped basin generates the longest peak time and shortest peak time for the elongated shape basin.

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Estimation of Sediment Transport and Influence Factor for the Prediction of Riverbed Changes (하천유역의 유사량 산정 및 하상변동 예측을 위한 영향인자의 평가분석)

  • Yun, Se-Ui;Lee, Jong-Tae;Jeong, Jae-Uk
    • Journal of Korea Water Resources Association
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    • v.30 no.5
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    • pp.561-570
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    • 1997
  • The feature of this paper is (1) to analyze the characteristics of rainfall-runoff relationship with kinematic wave theory, (2) to study the computational model to estimate the sediment yield, (3) to analyze the effects of bed change by transport formulas and the number of watershed division, and (4) to verify the model application with observation of channel data and measurement of rainfall, runoff, sediment discharge in Pyung-Chang River Basin. The calculated time of concentration of peak discharge occured little earlier than the actual, but the tendency of hydrograph coincided with observation. The shape of sediment hydrographs was similar to the water hydrograph. Based on above results, the applicability of the model was verified in detail. As the number of watershed division increased, the difference between the measured runoff and sediment values and the estimated ones decreased. The result of calculation with Yalin's formula for surface and Acker-White's one for channel gave the best agreement with the measured data among the six selected sediment transport foumulas.

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Grid Network Analysis for Distributed Rainfall-Runoff Modelling (분포형 강우-유출 모의를 위한 격자 네트워크 해석)

  • Choi, Yun-Seok;Lee, Jin-Hee;Kim, Kyung-Tak
    • Journal of Korea Water Resources Association
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    • v.41 no.11
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    • pp.1123-1133
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    • 2008
  • It needs to conceptualize watershed with triangular or rectangular elements and to analyze the changes in hydrological components of each element for distributed modeling of rainfall-runoff process. This study is the network analysis of watershed grid for flow routing occurred in each element when analyzing rainfall-runoff process by one-dimensional kinematic wave equation. Single flow direction from D8-method(deterministic eight-neighbors method) is used, and the information of flow direction and flow accumulation are used to determine the computation order of each element. The application theory of finite volume method is suggested for each flow direction pattern between elements, and it is applied it to calculate the flow of each grid. Network analysis method from this study is applied to GRM(Grid based Rainfall-runoff Model) which is physically based distributed rainfall-runoff model, and the results from simplified hypothetical watersheds are compared with $Vflo^{TM}$ to examine the reasonability of the method. It is applied to Jungrangcheon watershed in Han river for verification, and examination of the applicability to real site. The results from Jungrangcheon watershed show good agreement with measured hydrographs, and the application of the network analysis method to real site is proper.

The Motion Response of an Oil Boom with Flexible Skirt (유연한 스커트를 가진 오일붐의 운동응답해석)

  • 성홍근;조일형;최항순
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.2
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    • pp.156-162
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    • 1995
  • A numerical method for a 2-D oil boom model considering the flexibility of skirt has been developed The neater is assumed rigid and the skirt is tensioned membrane having a point mass at its end The fluid motion is potential. The kinematic condition which demands the continuity of the displacement is imposed at the joint between the floater and the skirt. The dynamic condition for the point mass is imposed at the bottom end of the skirt. The numerical method is based on the Green's function method in the frame of linear potential theory. It finds it's solution simultaneously from the total system of three equations, integral equation, the equation of motion of the floater and the equilibrium equation of the deformation of the skirt. Integral equation is derived by applying the Green's theorem to radiation potential and Green's function. Proper descretization of those three equations leads to the system of a linear algebraic equation. Due to the flexibility of skirt the motion of floater can be diminished in some range of wave frequency and furthermore the mechanism of resonance of the oil boom can be changed. The motion responses of various oil booms have been compared varying the length of the skirt and the point mass. The numerical method has been validated indirectly from the good correspondence between the motion responses of the flexible skirt model and the rigid skirt model in low frequency limit.

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Application of MPI Technique for Distributed Rainfall-Runoff Model (분포형 강우유출모형 병렬화 처리기법 적용)

  • Chung, Sung-Young;Park, Jin-Hyeog;Hur, Young-Teck;Jung, Kwan-Sue
    • Journal of Korea Water Resources Association
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    • v.43 no.8
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    • pp.747-755
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    • 2010
  • Distributed Models have relative weak points due to the amount of computer memory and calculation time required for calculating water flow using a numerical analysis based on kinematic wave theory when compared to the conceptual models used so far. Typically, the distributed models have been mainly applied to small basins. It was necessary to decrease the resolution of the grid to make it applicable for large scale watersheds, and because it would take up too much time to calculate using a higher resolution. That has been one of the more difficult factors in applying the model for actual work. In this paper, MPI (Message Passing Interface) technique was applied to solve the problem of calculation time as it is one of the demerits of the distributed model for performing physical and complicated numerical calculations for large scale watersheds. The comparison studies were performed a single domain and a divided small domain in Yongdam Dam watershed in case of typoon 'Ewiniar' at 2006. They were compared to analyze the application effects of parallelization technique. As a result, a maximum of 10 times the amount of calculation time was saved but keeping the level of quality for discharge by using parallelization code rather than a single processor.