• Title/Summary/Keyword: System boundary

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EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF VOLTERRA-FREDHOLM SYSTEM INVOLVING CAPUTO DERIVATIVE

  • Shakir M. Atshan;Ahmed A. Hamoud
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.545-558
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    • 2024
  • In this study, a class of nonlinear boundary fractional Caputo Volterra-Fredholm integro-differential equations (CV-FIDEs) is taken into account. Under specific assumptions about the available data, we firstly demonstrate the existence and uniqueness features of the solution. The Gronwall's inequality, a adequate singular Hölder's inequality, and the fixed point theorem using an a priori estimate procedure. Finally, a case study is provided to highlight the findings.

QUALITATIVE ANALYSIS OF ABR-FRACTIONAL VOLTERRA-FREDHOLM SYSTEM

  • Shakir M. Atshan;Ahmed A. Hamoud
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.113-130
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    • 2024
  • In this work, we explore the existence and uniqueness results for a class of boundary value issues for implicit Volterra-Fredholm nonlinear integro-differential equations (IDEs) with Atangana-Baleanu-Riemann fractional (ABR-fractional) that have non-instantaneous multi-point fractional boundary conditions. The findings are supported by Krasnoselskii's fixed point theorem, Gronwall-Bellman inequality, and the Banach contraction principle. Finally, a demonstrative example is provided to support our key findings.

Development of Sound Radiation Analysis System Using the Results of Power Flow Finite Element Method (파워흐름유한요소법의 진동해석 결과를 이용한 구조물의 방사소음 해석시스템 개발)

  • 이호원;홍석윤
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.7
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    • pp.21-30
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    • 2001
  • The analysis system implementing a serial process from structural vibration to sound radiation has been developed using both the power flow finite element method (PFFEM) known as a new vibrational analysis technique in medium to high frequency ranges and the acoustic boundary element method (BEM) which is effective in analyzing the sound radiation problems. The vibration analysis for arbitrary shape structures composed of plates is performed, and using the vibration energy density obtained from this analysis as the velocity boundary conditions for an acoustic analysis, vibro-acoustic analysis has been processed. To verify the developed system, we select a simple structure model and compare the results of developed system with those of SYSNOISE, and also the developed system is applied for the vibro-acoustic analysis of various structures in shapes.

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A Study on a Moving Adaptive Grid Generation Method Using a Level-set Scheme (레벨셋법을 이용한 이동 집중격자 생성법에 대한 연구)

  • Il-Ryong Park;Ho-Hwan Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.3
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    • pp.18-27
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    • 2002
  • In order to improve the accuracy of the solution near the boundary in an analysis of viscous flow around an arbitrary boundary which move and be deformed using an Eulerian concept, a level-set based grid deformation method is introduced to concentrate grid points near the boundary. This paper presents a new monitor function which can easily control the level of the concentration of grid points along the boundary. Computations for steady flow around a semi-circular cylinder mounted on the bottom of the flow domain were carried out to check the improvement of the solution using the adaptive grid system with an immersed boundary method. The present numerical results show a good agreement with the solutions obtained by a body fitted grid system and more accurate solutions than those computed with non-adaptive grid system. For the validation of mechanical usefulness of the present method, an expanded analysis of flow around multi-body fixed in the flow domain was carried out. Finally, the present moving adaptive grid method was applied to a two-dimensional bubble rise problem. The computed results show well adapted grid points around the boundary of the bubble at every time and a good agreement with the result calculated by fixed grid system.

A Comparative Study of the Atmospheric Boundary Layer Type in the Local Data Assimilation and Prediction System using the Data of Boseong Standard Weather Observatory (보성 표준기상관측소자료를 활용한 국지예보모델 대기경계층 유형 비교 연구)

  • Hwang, Sung Eun;Kim, Byeong-Taek;Lee, Young Tae;Shin, Seung Sook;Kim, Ki Hoon
    • Journal of the Korean earth science society
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    • v.42 no.5
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    • pp.504-513
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    • 2021
  • Different physical processes, according to the atmospheric boundary layer types, were used in the Local Data Assimilation and Prediction System (LDAPS) of the Unified Model (UM) used by the Korea Meteorological Administration (KMA). Therefore, it is important to verify the atmospheric boundary layer types in the numerical model to improve the accuracy of the models performance. In this study, the atmospheric boundary layer types were verified using observational data. To classify the atmospheric boundary layer types, summer intensive observation data from radiosonde, flux observation instruments, Doppler wind Light Detection and Ranging(LIDAR) and ceilometer were used. A total number of 201 observation data points were analyzed over the course 61 days from June 18 to August 17, 2019. The most frequent types of differences between LDAPS and observed data were type 1 in LDAPS and type 2 in observed(each 53 times). And type 3 difference was observed in LDAPS and type 5 and 6 were observed 24 and 15 times, respectively. It was because of the simulation performance of the Cloud Physics such as that associated with the simulation of decoupled stratocumulus and cumulus cloud. Therefore, to improve the numerical model, cloud physics aspects should be considered in the atmospheric boundary layer type classification.

Interaction Between an Unstabilized Turbulent Boundary Layer and an Incident Oblique Shock Wave (不安定化된 亂流境界層 과 斜角入射衝擊波 와의 相互作용)

  • 이덕봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.2
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    • pp.158-173
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    • 1985
  • An experimental investigation has been made to study the interaction between and incident oblique shock wave and an unstabilized turbulent boundary layer on a solid surface downstream of a porous surface with air injection through the porous surface. The boundary layer upstream of the interaction is unstabilized by the injection and provokes a shock wave which eventually interacts with the unstabilized boundary layer after reflecting from the upper wall of the test section. Three cases having diferent upstream Mach numbers and different shock strengthes are studied. According to the level of the unstabilization, two cases are of attached boundary layers and the other one is of a separated boundary layer. The result shows that the reflected wavey system is composed of the compression wave, expansion wave fan, and recompression wave like the ordinary interaction while the separated boundary layer strengthens the reflected expansion waves. The interactions of the attached boundary layers show a similar tendency of the upstream wall pressure distribution as that of the ordinary interacton but the pressure rise rather decays in the downstream region. In case of the separated boundary layer, the wall pressure continues to rise in the downstream as opposed ot the former cases. This indicates that the interaction region spreads out widely adn the viscous effect of the separated boundary layer smoothens the abrupt pressure increase due to the shock inpingement.

Dynamic Model and Governing Equations of a Shallow Arches with Moving Boundary (이동 경계를 갖는 얕은 아치의 동적 모델과 지배방정식)

  • Shon, Sudeok;Ha, Junhong;Lee, Seungjae
    • Journal of Korean Association for Spatial Structures
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    • v.22 no.2
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    • pp.57-64
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    • 2022
  • In this paper, the physical model and governing equations of a shallow arch with a moving boundary were studied. A model with a moving boundary can be easily found in a long span retractable roof, and it corresponds to a problem of a non-cylindrical domain in which the boundary moves with time. In particular, a motion equation of a shallow arch having a moving boundary is expressed in the form of an integral-differential equation. This is expressed by the time-varying integration interval of the integral coefficient term in the arch equation with an un-movable boundary. Also, the change in internal force due to the moving boundary is also considered. Therefore, in this study, the governing equation was derived by transforming the equation of the non-cylindrical domain into the cylindrical domain to solve this problem. A governing equation for vertical vibration was derived from the transformed equation, where a sinusoidal function was used as the orthonormal basis. Terms that consider the effect of the moving boundary over time in the original equation were added in the equation of the transformed cylindrical problem. In addition, a solution was obtained using a numerical analysis technique in a symmetric mode arch system, and the result effectively reflected the effect of the moving boundary.

Real time detection and recognition of traffic lights using component subtraction and detection masks (성분차 색분할과 검출마스크를 통한 실시간 교통신호등 검출과 인식)

  • Jeong Jun-Ik;Rho Do-Whan
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.43 no.2 s.308
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    • pp.65-72
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    • 2006
  • The traffic lights detection and recognition system is an essential module of the driver warning and assistance system. A method which is a color vision-based real time detection and recognition of traffic lights is presented in this paper This method has four main modules : traffic signals lights detection module, traffic lights boundary candidate determination module, boundary detection module and recognition module. In traffic signals lights detection module and boundary detection module, the color thresholding and the subtraction value of saturation and intensity in HSI color space and detection probability mask for lights detection are used to segment the image. In traffic lights boundary candidate determination module, the detection mask of traffic lights boundary is proposed. For the recognition module, the AND operator is applied to the results of two detection modules. The input data for this method is the color image sequence taken from a moving vehicle by a color video camera. The recorded image data was transformed by zooming function of the camera. And traffic lights detection and recognition experimental results was presented in this zoomed image sequence.

Assessment of Global Air Quality Reanalysis and Its Impact as Chemical Boundary Conditions for a Local PM Modeling System (전지구 대기질 재분석 자료의 평가와 국지규모 미세먼지 예보모델에 미치는 영향)

  • Lee, Kangyeol;Lee, Soon-Hwan;Kim, EunJi
    • Journal of Environmental Science International
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    • v.25 no.7
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    • pp.1029-1042
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    • 2016
  • The initial and boundary conditions are important factors in regional chemical transport modeling systems. The method of generating the chemical boundary conditions for regional air quality models tends to be different from the dynamically varying boundary conditions in global chemical transport models. In this study, the impact of real time Copernicus atmosphere monitoring service (CAMS) re-analysis data from the modeling atmospheric composition and climate project interim implementation (MACC) on the regional air quality in the Korean Peninsula was carried out using the community multi-scale air quality modeling system (CMAQ). A comparison between conventional global data and CAMS for numerical assessments was also conducted. Although the horizontal resolution of the CAMS re-analysis data is not higher than the conventionally provided data, the simulated particulate matter (PM) concentrations with boundary conditions for CAMS re-analysis is more reasonable than any other data, and the estimation accuracy over the entire Korean peninsula, including the Seoul and Daegu metropolitan areas, was improved. Although an inland area such as the Daegu metropolitan area often has large uncertainty in PM prediction, the level of improvement in the prediction for the Daegu metropolitan area is higher than in the coastal area of the western part of the Korean peninsula.

Effect of Change of Grain-Boundary Phases on the Fracture Toughness of Silicon Nitride Ceramics (입계상 변화가 질화규소의 요업체의 파괴인성에 미치는 영향)

  • Lee, Sang-Hun;Park, Hui-Dong;Lee, Jae-Do;Kim, Do-Yeon
    • Korean Journal of Materials Research
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    • v.5 no.6
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    • pp.699-705
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    • 1995
  • Effect of the grain boundary phases in Si$_3$N$_4$ ceramics on the fracture tonghness has been investigated. The Si$_3$N$_4$-Y$_2$O$_3$-SiO$_2$, (YS) and Si$_3$N$_4$-Y$_2$O$_3$-Al$_2$O$_3$(YA) systems were Can/HIP treated at 1750$^{\circ}C$ and then heat-treated at 1800∼2000$^{\circ}C$. The fracture toughness of the YA system, the grain boundary phase was only glass phase after heat-treatement, was increased. That of the YS system, however, the grain boundary phase was changed from crystalline and glass to glass phase after the heat -treatement above 1900$^{\circ}C$, was abruptly decreased. The reason of the sudden drop of the fracture toughness of the YS system was believed that the change of the grain boundary phases from crystalline and glass to glass phase effected un the fracture behavior.

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