• Title/Summary/Keyword: systems of equations

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Real-time Fluid Animation using Particle Dynamics Simulation and Pre-integrated Volume Rendering (입자 동역학 시뮬레이션과 선적분 볼륨 렌더링을 이용한 실시간 유체 애니메이션)

  • Lee Jeongjin;Kang Moon Koo;Kim Dongho;Shin Yeong Gil
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.1
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    • pp.29-38
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    • 2005
  • The fluid animation procedure consists of physical simulation and visual rendering. In the physical simulation of fluids, the most frequently used practices are the numerical simulation of fluid particles using particle dynamics equations and the continuum analysis of flow via Wavier-Stokes equation. Particle dynamics method is fast in calculation, but the resulting fluid motion is conditionally unrealistic The method using Wavier-Stokes equation, on the contrary, yields lifelike fluid motion when properly conditioned, yet the complexity of calculation restrains this method from being used in real-time applications. Global illumination is generally successful in producing premium-Duality rendered images, but is also excessively slow for real-time applications. In this paper, we propose a rapid fluid animation method incorporating enhanced particle dynamics simulation method and pre-integrated volume rendering technique. The particle dynamics simulation of fluid flow was conducted in real-time using Lennard-Jones model, and the computation efficiency was enhanced such that a small number of particles can represent a significant volume. For real-time rendering, pre-integrated volume rendering method was used so that fewer slices than ever can construct seamless inter-laminar shades. The proposed method could successfully simulate and render the fluid motion in real time at an acceptable speed and visual quality.

A Study on the High Speed Train Localization Using Doppler Frequency in the Wireless Communication (무선통신 도플러 주파수를 이용한고속열차 위치 추정에 관한 연구)

  • Kim, Jungtai
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.11
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    • pp.826-833
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    • 2017
  • It is important to localize trains precisely for the purpose of controlling them and there have been many studies designed to accomplish this without the need for wayside systems. Since trains run on fixed railway lines, it is possible to search in one direction to localize them. Moreover, it is also possible to know the shape of the line in advance. In the case of high speed trains, their speed and, therefore, their Doppler frequency is relatively high and the railway line is either linear or circular with a large radius. In this study, we utilize these features and propose a train localization method using the Doppler frequency of the signals transmitted from two points (base stations). We derive localization equations for a linear line, circular line, and mixed line (linear plus circular) respectively. Though Doppler radars are usually used to measure speed, the proposed method obtains the location information and the speed successively using the ratio of the doppler frequencies of two signals without knowing the location information or the speed. Computer simulations are performed to show the variation of the estimation error according to the train's location and the measurement error level. The conditions required to obtain the target error level and the increase in the estimation error according to the measurement error are compared between the proposed and conventional methods. The results show the superior performance and robustness of the proposed method.

Development of a Three-Dimensional, Semi-Implicit Hydrodynamic Model with Wetting-and-Drying Scheme (조간대 처리기법을 포함한 3차원 Semi-Implicit 수역학모델 개발)

  • Lee, Kyung-Sun;Park, Kyeong;Oh, Jeong-Hwan
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.70-80
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    • 2000
  • Princeton Ocean Model (POM) is modified to construct a three-dimensional, semi-implicit hydro¬dynamic model with a wetting-and-drying scheme. The model employs semi-implicit treatment of the barotropic pressure gradient terms and the vertical mixing terms in the momentum equations, and the velocity divergence term in the vertically-integrated continuity equation. Such treatment removes the external mode and thus the mode splitting scheme in POM, allowing the semi-implicit model to use a larger time step. Applied to hypothetical systems, both the semi-implicit model and POM give nearly the same results. The semi-implicit model, however, runs approximately 4.4 times faster than POM showing its improved computational efficiency. Applied to a hypothetical system with intertidal flats, POM employing the mode splitting scheme produces noises at the intertidal flats, that propagate into the main channel resulting in unstable current velocities. Despite its larger time step, the semi-implicit model gives stable current velocities both at the intertidal flats and main channel. The semi-implicit model when applied to Kyeonggi Bay gives a good reproduction of the observed tides and tidal currents throughout the modeling domain, demonstrating its prototype applicability.

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Curve Number for a Small Forested Mountainous Catchment (산지 소유역 유출곡선지수)

  • Oh, Kyoung-Doo;Jun, Byong-Ho;Han, Hyung-Geun;Jung, Sung-Won;Cho, Young-Ho;Park, Soo-Yun
    • Journal of Korea Water Resources Association
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    • v.38 no.8 s.157
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    • pp.605-616
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    • 2005
  • In this paper, runoff curve numbers (CN's) for a small forested mountainous catchment are estimated using rainfall-runoff data measured at Sulma experimental catchment every 10 minutes and a new guideline for applying the antecedent rainfall conditions (ARC's) for small mountainous watersheds in Korea is proposed. Sulma experimental catchment is a typical natural mountainous basin with $97\%$ of forested land cover and CN's are estimated to be in the range between 51 and 89 with median value of 72. The test hypothesis stating as 1-day ARC is better than 5-day ARC in determining CN's for a small mountainous watershed is shown to be acceptable. Also, linear regression equations for the estimation of CN's for small mountainous catchments are proposed. As there is no significant investigations available on CN's for small mountainous catchments, the newly proposed relationships between CN's and ARC may be used as a preliminary guideline to assign CN's for the estimation of floods from rainfall data on mountainous regions.

A Study of Autonomous Intelligent Load Management System Based on Queueing Model (큐잉모델에 기초한 자율 지능 부하 관리 시스템 연구)

  • Lee, Seung-Chul;Hong, Chang-Ho;Kim, Kyung-Dong;Lee, In-Yong;Park, Chan-Eom
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.2
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    • pp.134-141
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    • 2008
  • This paper presents an innovative load management technique that can effectively lower the summer peak load by adjusting the aircondition loads through smoothe coordinations between utility companies and large customers. An intelligent hierarchical load management system composed of a Central Intelligent Load Management System(CIMS) and multiple Local Intelligent Management Systems(LIMS) is also proposed to implement the reposed technique. Upon receiving a load curtailment request from the utilities, CIMS issues tokens, which can be used by each LIMS as a right to turn on the airconditioner. CIMS creates and maintains a queue for fair allocation of the tokens among the LIMS demanding tokens. By adjusting the number tokens and queue management Policies, desired load factors can be achieved conveniently. The Markov Birth and Death Process and the Balance Equations are employed in estimating various queue performances. The proposed technique is tested using a summer load data of a large apartment complex and proved to be quite effective in load management while minimizing the customer inconveniences.

Growth Model of Common Ice Plant (Mesembryanthemum crystallinum L.) Using Expolinear Functions in a Closed-type Plant Production System (완전제어형 식물 생산 시스템에서 선형 지수 함수를 이용한 Common Ice Plant의 생육 모델)

  • Cha, Mi-Kyung;Kim, Ju-Sung;Cho, Young-Yeol
    • Horticultural Science & Technology
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    • v.32 no.4
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    • pp.493-498
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    • 2014
  • The objective of this study was to make growth and yield models for common ice plant (Mesembryanthemum crystallinum L.) using expolinear functional equations in a closed-type plant production system. Three-band radiation type fluorescent lamps with a 12-hours photoperiod were used, and the light intensity was $200{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$. Nutrient film systems with three layers were used for plant growth. Environmental conditions, such as air temperature, relative humidity and $CO_2$ concentration were controlled by an ON/OFF operation. Leaf area, shoot fresh and dry weights, light use efficiency of common ice plant as function of days after transplanting, accumulative temperature and accumulative radiation were analyzed. Leaf area, shoot fresh and dry weights per area were described using an expolinear equation. A linear relationship between shoot dry and fresh weights was observed. Light use efficiency of common ice plant was $3.3g{\cdot}MJ^{-1}$ at 30 days after transplanting. It is concluded that the expolinear growth model can be a useful tool for quantifying the growth and yield of common ice plant in a closed plant production system.

Computational Model for Flow in River Systems Including Storage Pockets with Side Weirs (횡월류형 강변저류지를 포함하는 하천수계에 대한 수리학적 계산모형)

  • Jun, Kyung-Soo;Kim, Jin-Soo;Kim, Won;Yoon, Byung-Man
    • Journal of Korea Water Resources Association
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    • v.43 no.2
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    • pp.139-151
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    • 2010
  • A quasi-two-dimensional unsteady flow model was developed for simulating the flow in a river system including artificial storage pockets with side weirs. It is a multiply-connected network which combines channels and storage pockets. The channel flow is described by the one-dimensional Saint Venant equations, and the weir overflow flow by the cell continuity and stage-discharge relations. The model was applied to the Imjin river system including six artificial storage pockets. Design flood peak reduction due to storage pockets is not sensitive to the side weir discharge coefficient. Storage pockets downstream are less effective than upstream ones in reducing peak stage as the backwater effect becomes more dominant. Simulated flood control effect is highly sensitive to the roughness coefficient. The uncertainty due to the roughness coefficient increases as the weir crest elevation gets higher. Because the best design alternative varies with the roughness coefficient, proper estimation of it is essential to the design of side weirs. Moreover, uncertainty of the estimation needs to be considered in the design process.

Development of Grid Based Distributed Rainfall-Runoff Model with Finite Volume Method (유한체적법을 이용한 격자기반의 분포형 강우-유출 모형 개발)

  • Choi, Yun-Seok;Kim, Kyung-Tak;Lee, Jin-Hee
    • Journal of Korea Water Resources Association
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    • v.41 no.9
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    • pp.895-905
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    • 2008
  • To analyze hydrologic processes in a watershed requires both various geographical data and hydrological time series data. Recently, not only geographical data such as DEM(Digital Elevation Model) and hydrologic thematic map but also hydrological time series from numerical weather prediction and rainfall radar have been provided as grid data, and there are studies on hydrologic analysis using these grid data. In this study, GRM(Grid based Rainfall-runoff Model) which is physically-based distributed rainfall-runoff model has been developed to simulate short term rainfall-runoff process effectively using these grid data. Kinematic wave equation is used to simulate overland flow and channel flow, and Green-Ampt model is used to simulate infiltration process. Governing equation is discretized by finite volume method. TDMA(TriDiagonal Matrix Algorithm) is applied to solve systems of linear equations, and Newton-Raphson iteration method is applied to solve non-linear term. Developed model was applied to simplified hypothetical watersheds to examine model reasonability with the results from $Vflo^{TM}$. It was applied to Wicheon watershed for verification, and the applicability to real site was examined, and simulation results showed good agreement with measured hydrographs.

Relationship between Concrete Pavement Stresses under Multi-Axle Interior and Edge Loads (중앙부와 모서리부 다축 차량 하중에 의한 콘크리트 도로포장의 응력 상관관계)

  • Kim Seong-Min;Cho Byoung-Hooi;Ryu Sung-Woo
    • International Journal of Highway Engineering
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    • v.8 no.3 s.29
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    • pp.143-153
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    • 2006
  • The differences in the stress distribution and the critical stresses in concrete pavement systems were analyzed when the dual-wheel single-, tandem-, and tridem-axle loads were applied at the interior and the edge of the pavement. The effects of the concrete elastic modulus, slab thickness, foundation stiffness, and tire contact pressure were investigated. The stresses under the interior loads were calculated using the transformed field domain analysis and stresses under the edge loads were obtained using the finite element method. The critical stresses under the interior and the edge loads were compared with respect to various parameters and the equations to predict the ratio between the stresses under the edge and the interior loads were developed and verified. From this study, it was found that the trends of the changes in the critical concrete stresses under the interior and the edge loads were very similar and the critical stress locations under those loads were identical. The critical stress ratio, which was obtained by dividing the critical stress under the edge loads into that under the interior loads, decreased with increasing the number of axles. That ratio became larger as the concrete elastic modulus increased, the slab thickness increased, the foundation stiffness decreased, and the tire contact pressure increased.

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A Study on Jointed Rock Mass Properties and Analysis Model of Numerical Simulation on Collapsed Slope (붕괴절토사면의 수치해석시 암반물성치 및 해석모델에 대한 고찰)

  • Koo, Ho-Bon;Kim, Seung-Hee;Kim, Seung-Hyun;Lee, Jung-Yeup
    • Journal of the Korean Geotechnical Society
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    • v.24 no.5
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    • pp.65-78
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    • 2008
  • In case of cut-slopes or shallow-depth tunnels, sliding along with discontinuities or rotation could play a critical role in judging stability. Although numerical analysis is widely used to check the stability of these cut-slopes and shallow-depth tunnels in early design process, common analysis programs are based on continuum model. Performing continuum model analysis regarding discontinuities is possible by reducing overall strength of jointed rock mass. It is also possible by applying ubiquitous joint model to Mohr-Coulomb failure criteria. In numerical analysis of cut-slope, main geotechnical properties such as cohesion, friction angle and elastic modulus can be evaluated by empirical equations. This study tried to compare two main systems, RMR and GSI system by applying them to in-situ hazardous cut-slopes. In addition, this study applied ubiquitous joint model to simulation model with inputs derived by RMR and GSI system to compare with displacements obtained by in-situ monitoring. To sum up, numerical analysis mixed with GSI inputs and ubiquitous joint model proved to provide most reliable results which were similar to actual displacements and their patterns.