• Title/Summary/Keyword: smooth topology

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Reflections of shocks in nonequilibrium flow of air

  • Park, Tae-Hoon
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.767-781
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    • 1995
  • In this paper we present computation of a reflected shock in the hypersonic flow of air with chemical reactions. We consider two dimensional steady inviscid hypersonic flow of air around bodies including chemical reaction effects. At a high Mach number, a strong shock is formed in front of the body when a wedge is placed against the flow. In front of the shock, temperature and pressure increase greatly and the flow is in nonequilibrium state. If the shock hits a wall, then a reflected shock is formed in the nonequilibrium flow region. Behind this reflected shock, the temperature and pressure are very high. We carry out the computation of the reflected shock and the flow behind it. The jump conditions at the reflected shock are presented. A technique combining smooth transforms of domain and implicit difference methods is used to overcome numerical difficulties associated with the lack of resolution behind the shock and near the body.

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A Study on Filling Holes of the Polygon Model using Implicit Surface Scheme (음함수 곡면기법을 이용한 폴리곤 모델의 홀메움에 관한 연구)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.3 s.168
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    • pp.107-114
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    • 2005
  • A new approach which combines implicit surface scheme and point projection method is presented in order to fill the arbitrarily shaped holes in the polygon model. In the method a trimmed surface which has an outer boundary curve is generated by using the implicit surface scheme and normal projection of point onto the base surface. The base surface is constructed by creating smooth implicit surface from the incomplete polygon model through which the surface should pass. In this paper an implicit surface is defined by a radial basis function, a continuous scalar-valued function over the domain $R^3$. The base surface is the set of all points at which this scalar function takes on the value zero and is created by placing zero-valued constraints at the vertices of the polygon model. In order to show the validity of the present study, various hole fillings are carried out for the complex polygon model of arbitrary topology.

Smooth Formation Navigation of Multiple Mobile Robots for Avoiding Moving Obstacles

  • Chen Xin;Li Yangmin
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.466-479
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    • 2006
  • This paper addresses a formation navigation issue for a group of mobile robots passing through an environment with either static or moving obstacles meanwhile keeping a fixed formation shape. Based on Lyapunov function and graph theory, a NN formation control is proposed, which guarantees to maintain a formation if the formation pattern is $C^k,\;k\geq1$. In the process of navigation, the leader can generate a proper trajectory to lead formation and avoid moving obstacles according to the obtained information. An evolutionary computational technique using particle swarm optimization (PSO) is proposed for motion planning so that the formation is kept as $C^1$ function. The simulation results demonstrate that this algorithm is effective and the experimental studies validate the formation ability of the multiple mobile robots system.

Automatic Multi-Block Grid Generation Technique Based on Delaunay Triangulation (Delaunay 삼각화 기법을 활용한 다중-블록 정렬 격자의 자동 생성 기법)

  • Kim Byoungsoo
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.108-114
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    • 1999
  • In this paper. a new automatic multi=block grid generation technique for general 2D regions is introduced. According to this simple and robust method, the domain of interest is first triangulated by using Delaunay triangulation of boundary points, and then geometric information of those triangles is used to obtain block topology. Once block boundaries are obtained. structured grid for each block is generated such that grid lines have $C^0-continuity$ across inter-block boundaries. In the final step of the present method, an elliptic grid generation method is applied to smoothen grid distribution for each block and also to re-locale the inter-block boundaries, and eventually to achieve a globally smooth multi-block structured grid system with $C^1-continuity$.

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A Study on Hierarchy-based Secure Encryption Protocol for Trust Improvement on Multicast Environment of MANET (MANET의 멀티캐스트 환경에서 신뢰성 향상을 위한 계층기반 암호 프로토콜 기법 연구)

  • Yang, Hwanseok
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.13 no.3
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    • pp.43-51
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    • 2017
  • MANET consists of only wireless nodes having limited processing capability. It processes routing and data transmission through cooperation among each other. And it is exposed to many attack threats due to the dynamic topology by movement of nodes and multi-hop communication. Therefore, the reliability of transmitted data between nodes must be improved and security of integrity must be high. In this paper, we propose a method to increase the reliability of transmitted data by providing a secure cryptography protocol. The proposed method used a hierarchical structure to provide smooth cryptographic services. The cluster authentication node issues the cluster authentication key pair and unique key to the nodes. The nodes performs the encryption through two steps of encryption using cluster public key and block encryption using unique key. Because of this, the robustness against data forgery attacks was heightened. The superior performance of the proposed method can be confirmed through comparative experiment with the existing security routing method.

Primary Current Generation for a Contactless Power Transfer System Using Free Oscillation and Energy Injection Control

  • Li, Hao Leo;Hu, Aiguo Patrick;Covic, Grant Anthony
    • Journal of Power Electronics
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    • v.11 no.3
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    • pp.256-263
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    • 2011
  • This paper utilizes free oscillation and energy injection principles to generate and control the high frequency current in the primary track of a contactless power transfer system. Here the primary power inverter maintains natural resonance while ensuring near constant current magnitude in the primary track as required for multiple independent loads. Such energy injection controllers exhibit low switching frequency and achieve ZCS (Zero Current Switching) by detecting the high frequency current, thus the switching stress, power losses and EMI of the inverter are low. An example full bridge topology is investigated for a contactless power transfer system with multiple pickups. Theoretical analysis, simulation and experimental results show that the proposed system has a fast and smooth start-up transient response. The output track current is fully controllable with a sufficiently good waveform for contactless power transfer applications.

Capacitors Energy Strategy Based Cascaded H-Bridge Converter for DC Port Failures

  • Peng, Xu;Liu, Xiaohan;Yang, Guolong;Liu, Xijun;Gao, Lixia;Zhu, Xinyu
    • Journal of Power Electronics
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    • v.19 no.5
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    • pp.1133-1141
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    • 2019
  • In this paper, a capacitors energy strategy based Cascaded H-bridge Converter (CHBC) for steady DC link voltage is proposed, which allow the CHBC to work while DC power fails. The topology of the CHBC is analyzed to construct the proposed strategy. The capacitors energy strategy is deduced based on the principle that the DC link voltage should be steady, the switch state should be smooth and the switch frequency should be normal. Experiments based on a three-module prototype, including static experiment, start experiment and step change experiment, proves the correctness of the strategy. They also verified the excellent fault tolerance ability and good dynamic performance of the proposed strategy.

THE CHOW RING OF A SEQUENCE OF POINT BLOW-UPS

  • Daniel Camazon Portela
    • Communications of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.563-574
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    • 2024
  • Given a sequence of point blow-ups of smooth n-dimensional projective varieties Zi defined over an algebraically closed field $k,\,Z_s\,{\overset{{\pi}_s}{\longrightarrow}}\,Z_{s-1}\,{\overset{{\pi}_{s-1}}{\longrightarrow}}\,{\cdots}\,{\overset{{\pi}_2}{\longrightarrow}}\,Z_1\,{\overset{{\pi}_1}{\longrightarrow}}\,Z_0$, with Z0 ≅ ℙn, we give two presentations of the Chow ring A(Zs) of its sky. The first one uses the classes of the total transforms of the exceptional components as generators and the second one uses the classes of the strict transforms ones. We prove that the skies of two sequences of point blow-ups of the same length have isomorphic Chow rings. Finally we give a characterization of the final divisors of a sequence of point blow-ups in terms of some relations defined over the Chow group of zero-cycles A0(Zs) of its sky.

Accuracy Analysis of Topographic Survey Data for the Official Land Price Appraising (공시지가산정을 위한 지형·지세조사 자료의 정확도 분석)

  • Lee, Chang-Han;Sung, Chun-Ja
    • Journal of Cadastre & Land InformatiX
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    • v.48 no.1
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    • pp.153-167
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    • 2018
  • Despite many criticisms that topographic survey data for the official land price appraising collected annually using field survey method might be inaccurate, there is only few concrete research on it. This paper investigated whether the topographic survey data collected by a local government using field survey method is consistent with the data analyzed using the digital elevation model to examine its accuracy. The accuracy analysis indicated that 324 out of 1537 lots of land have inconsistent results which means the ratio of inconsistency is 17.36%. Among 11 areas studied, five had the inconsistency ratio above 20% while the worst one had 38.71%. The inconsistency ratio is generally higher for the rough terrain with irregular slope and high altitude while it is relatively lower for the terrain with smooth landform. The analysis results imply that there are limitations in investigating the topology by field survey method. Therefore, the official land price appraising policy should set precise criterion and change over to highly accurate geographic information analysis method to effectively and accurately examine topology, given the fact that the topology of the Republic of Korea has complicated features with irregular slope and altitude.

A study on the Conducted Noise Reduction in Random PWM (Random PWM 기법을 이용한 전도노이즈 저감)

  • Jeong, Dong-Hyo
    • Proceedings of the KIEE Conference
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    • 2006.10b
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    • pp.154-158
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    • 2006
  • The switching-mode power converter has been widely used because of its features of high efficiency and small weight and size. These features are brought by the ON-OFF operation of semiconductor switching devices. However, this switching operation causes the surge and EMI(Electromagnetic Interference) which deteriorate the reliability of the converter themselves and entire electronic systems. This problem on the surge and noise is one of the most serious difficulties in AC-to-DC converter. Random Pulse Width Modulation (RPWM) is peformed by adding a random perturbation to switching instant while output-voltage regulation of converter is performed. RPWM method for reducing conducted EMI in single switch three phase discontinuous conduction mode boost converter is presented. The more white noise is injected, the more conducted EMI is reduced. But output-voltage is not sufficiently regulated. This is the reason why carrier frequency selection topology is proposed. In the case of carrier frequency selection, output-voltage of steady state and transient state is fully regulated. A RPWM control method was proposed in order to smooth the switching noise spectrum and reduce it's level. Experimental results are verified by converter operating at 300v/1kW with $5%{\sim}30%$ white noise input. Spectrum analysis is performed on the Phase current and the CM noise voltage. The former is measured with Current Probe and the latter is achieved with LISN, which are connected to the spectrum analyzer respectively.

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