• 제목/요약/키워드: Discontinuous model

검색결과 295건 처리시간 0.019초

k-ε 모형을 이용한 불연속 유입 밀도류의 수치모의 (Numerical Simulations of Discontinuous Density Currents using k-ε Model)

  • 이혜은;최성욱
    • 대한토목학회논문집
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    • 제29권3B호
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    • pp.231-237
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    • 2009
  • 본 연구에서는 2-방정식 난류모형인 ${\kappa}-{\varepsilon}$ 모형을 이용하여 2차원적으로 발달하는 하층 밀도류를 모의하기 위한 수치모형을 제시하였다. 타원형 편미분 방정식으로 흐름에 대한 지배방정식을 구성하였으며, 수치기법으로는 유한체적법을 사용하였다. 연구를 통해 개발된 수치모형을 기존의 실험결과와 비교하여 적용성을 검토하였다. 불연속 유입조건 밀도류의 시간별 진행에서 흐름의 불안정에 의한 와(渦)의 발생을 확인하였으며, 진행중인 불연속 유입 밀도류의 진행단계 변화와 선단부 속도의 관계를 살펴보았다. 또한, 무거운 유체 위로 이동하던 주변수체가 벽면을 접하면서 발생된 단파가 밀도류의 진행에 미치는 영향을 수직구조를 통해 살펴보았다. 한편, 개발된 모형을 이용한 수치모의에서 선단부의 진행 속도가 실험보다 느리게 모의되었다. 이는 3차원 현상인 난류의 불안정성을 모의하는 2차원 모형의 한계인 것으로 판단된다.

계단을 지나는 천수 흐름의 모의에서 내부 경계조건으로서 정확해의 부여에 관한 연구 (A Study on Imposing Exact Solutions as Internal Boundary Conditions in Simulating Shallow-water Flows over a Step)

  • 황승용
    • 대한토목학회논문집
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    • 제34권2호
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    • pp.479-492
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    • 2014
  • 이 연구에서는 계단과 같이 불연속 횡단 구조물을 지나는 천수 흐름에 대해 내부 경계조건으로서 정확해를 부여하는 기법을 제안하였다. 제안된 기법의 검토를 위해 MUSCL이 적용된 HLLL 근사 Riemann 해법을 이용하였다. 계단을 지나는 천수 흐름에 대한 다양한 문제에서 모의 결과는 정확해와 잘 일치하였다. 또한, 계단에서 댐 붕괴 실험 및 급경사 수로 실험의 결과와 부합되었다. 개발된 모형으로 낙차공과 같이 불연속 바닥을 지나는 천수 흐름에 대해 별도의 수위-유량 관계나 지형의 완화 없이 모의가 가능하다. 향후, 계단에 의한 흐름 저항과 수맥에 의한 에너지 손실에 대해 적절한 평가가 이루어진다면, 보나 옹벽(강변 도로)과 같은 불연속 지형을 넘나드는 천수 흐름에 대한 수치모의가 가능할 것으로 기대된다.

Analysis of Synchronous Rectification Discontinuous PWM for SiC MOSFET Three Phase Inverters

  • Dai, Peng;Shi, Congcong;Zhang, Lei;Zhang, Jiahang
    • Journal of Power Electronics
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    • 제18권5호
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    • pp.1336-1346
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    • 2018
  • Wide band gap semiconductor devices such as SiC MOSFETs are becoming the preferred devices for high frequency and high power density converters due to their excellent performances. However, the proportion of the switching loss that accounts for the whole inverter loss is growing along with an increase of the switching frequency. In view of the third quadrant working characteristics of a SiC MOSFET, synchronous rectification discontinuous pulse-width modulation is proposed (SRDPWM) to further reduce system losses. The SRDPWM has been analyzed in detail. Based on a frequency domain mathematical model, a quantitative mathematical analysis of the harmonic characteristic is conducted by double Fourier transform. Meanwhile, a switching loss model and a conduction loss model of inverter for SRDPWM have been built. Simulation and experimental results verify the result of the harmonic analysis of the double Fourier analysis and the accuracy of the loss models. The efficiencies of the SRDPWM and the SVPWM are compared. The result indicates that the SRDPWM has fewer losses and a higher efficiency than the SVPWM under high switching frequency and light load conditions as a result of the reduced number of switching transitions. In addition, the SRDPWM is more suitable for SiC MOSFET converters.

불연속면의 영향을 고려한 암반동굴의 확률유한요소해석 (Stochastic Finite Element Analysis for Rock Caverns Considering the Effect of Discontinuities)

  • 최규섭;황신일;이경진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.95-102
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    • 1996
  • In this study, a stochastic finite element model is proposed with a view to consider the uncertainty of physical properties of discontinuous rock mass in the analysis of structural behavior on underground caverns. In so doing, the LHS(Latin Hypercube sampling) technique has been applied to make up weak points of the Crude Monte Carlo technique. Concerning the effect of discontinuities, a joint finite element model is used that is known to be superior in explaining faults, cleavage, things of that nature. To reflect the uncertainty of material properties, the variables such as the the elastic modulus, the poisson's ratio, the joint shear stiffness, and the joint normal stiffness have been used, all of which can be applicable through normal distribution, log-normal distribution, and rectangulary uniform distribution. The validity of the newly developed computer program has been confirmed in terms of verification examples. And, the applicability of the program has been tested in terms of the analysis of the circular cavern in discontinuous rock mass.

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Second order integral sliding mode observer and controller for a nuclear reactor

  • Surjagade, Piyush V.;Shimjith, S.R.;Tiwari, A.P.
    • Nuclear Engineering and Technology
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    • 제52권3호
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    • pp.552-559
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    • 2020
  • This paper presents an observer-based chattering free robust optimal control scheme to regulate the total power of a nuclear reactor. The non-linear model of nuclear reactor is linearized around a steady state operating point to obtain a linear model for which an optimal second order integral sliding mode controller is designed. A second order integral sliding mode observer is also designed to estimate the unmeasurable states. In order to avoid the chattering effect, the discontinuous input of both observer and controller are designed using the super-twisting algorithm. The proposed controller is realized by combining an optimal linear tracking controller with a second order integral sliding mode controller to ensure minimum control effort and robustness of the closed-loop system in the presence of uncertainties. The condition for the selection of gains of discontinuous control based on the super-twisting algorithm is derived using a strict Lyapunov function. Performance of the proposed observer based control scheme is demonstrated through non-linear simulation studies.

수중 능동표적에 대한 시간분산 하이라이트 합성모델 성능분석 (A Performance Analysis on the Time Spread Highlight Synthesized Models for Underwater Active Target)

  • 김부일;이형욱;박명호
    • 한국군사과학기술학회지
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    • 제5권1호
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    • pp.37-44
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    • 2002
  • An echo signal in the active sonar using a high frequency is mainly formed of a specular reflection from the surface of an object along with several equivalent scatter inside, which are characterized by the spatial distribution of the highlights on the object. This thesis proposed a model in which the synthesized echo signal can be expressed as a distributed simulated target. The proposed model is obtained after composing a signal based on the movement of highlights relative to the aspect angle from the discontinuous point of an external hull with a strong reflection from a spheroid underwater target. Because the proposed algorithm includes a synthesis of the signals related to the highlight spacial distribution, it can be applied to all kinds of systems used at a short range, and similar results were obtained to the actual measured results of all reflected signals in previous literature referring to the irregular factor application of an envelope.

The application of model equations to Non-Fickian diffusion observed in Fluoropolymers

  • Lee, Sangwha
    • 한국막학회:학술대회논문집
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    • 한국막학회 1996년도 춘계 총회 및 학술발표회
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    • pp.34-35
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    • 1996
  • The diffusional behavior of many non-solvents in glassy or semicrystalline polymers cannot be adequately described by a concentration-dependent form of Fick's law, especially when mass transfer is coupled with structural changes. Many mathematical models have been devised to interprete non-Fickian diffusion dominated by relaxation kinetics. In formulation of non-Fickian diffusion mathematics, therefore, the most important factor to consider is how relaxation effects can influence the governing constitutive equation and boundary conditions. That is, relaxation parameters can be accommodated by variable boundary conditions or a modified continuity equation, or both, depending on specific systems and conditions (Frish, 1980). Accoring to Astarita and Nicolais (1983), the model equations can be broadly categorized as continuous or discontinuous. Continuous model equations encompass phenomena where the structural change takes place gradually over the whole volume of the polymer sample (Crank, 1953; Long and Richman, 1961; Berens and Hopfenberg, 1978). On the other hand, discontinuous model equations deal with the phenomena where the morphological change appears to be abrupt (Li, 1984). Four mathematical models with different relaxation parameters were applied to fit the anomalous sorption data observed in fluoropolymers (PVDF, ECTFE). The fitted result for PVDF-benzene sorption data is shown in Fig. 1.

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열전도 방정식의 시간 불연속 유한요소법 적용 (An Application of Time Discontinuous Finite Element Method for Heat Conduction Problems)

  • 김치경
    • 한국안전학회지
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    • 제23권3호
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    • pp.87-92
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    • 2008
  • 시간에 불연속성인 유한요소법이 열전도 방정식에 적용하였다. 근사값은 고정된 시간에 공간변수에는 연속이며 그러나 각 시간 구간에서는 시간변수에 불연속을 허용하였다. 이 유한요소법은 지금까지 많이 알려진 재래식 유한요소해석에 보다 해의 수렴속도가 빠르고 해를 쉽게 얻을 수 있으며 지반이 동결된 동상지반과 같이 복잡한 공학문제와 같은 동적 경계치 문제에 쉽게 접근할 수 있었다. 다차원 문제에도 적용이 가능하며 본 연구에서는 일차원, 이차원 열전도 문제에 적용하였다. 결과 치를 해석해와 비교 검토하였다.

불연속성 암반에서 2-아치 터널 굴착시 필러 기초부 응력 분포에 대한 연구 (A Study on the Stress Distribution of Pillar Basement during Two-arch Tunnel Excavation in Discontinuous Rock Mass)

  • 김홍문;이상덕
    • 터널과지하공간
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    • 제19권2호
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    • pp.123-131
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    • 2009
  • 불연속성 암반에 2-Arch 터널을 건설할 경우, 필러에 작용하는 응력분포 특성을 파악하기 위하여 대형 모형실험과 수치해석을 수행하였다. 분석결과, 불연속면이 존재하는 경우에는 필러에 작용하는 하중이 매우 불규칙적으로 발생하였으며, 불연속면 경사의 영향이 큰 것을 확인하였다. 수치해석 결과 필러부에는 굴착단계에 따라 위치별로 큰 응력 차이가 확인되었다. 주목할 점은 터널 굴착시 벽체뿐만 아니라 필러 기초부에도 큰 응력 차이가 발생하였다. 필러 설계시 이러한 응력편차 현상을 신중하게 고려할 필요가 있다.

3D Simulation of Earthquake Ground Motion Using Locally Variable Time-Step Finite-Difference Method

  • Kang, Tae-Seob;Baag, Chang-Eob
    • IUGG한국위원회:학술대회논문집
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    • IUGG한국위원회 2003년도 정기총회 및 학술발표회
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    • pp.18-18
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    • 2003
  • Three-dimensional finite-difference simulation of earthquake ground motion is performed using a locally variable time-step (LVTS) scheme matching with discontinuous grids. Discontinuous grids in three directions and extension of the discontinuous grids' boundary to the free-surface in the LVTS scheme minimize the cost of both the computational memory and the CPU time for models like the localized sedimentary basin. A simplified model of sedimentary basin is dealt to show the feasibility and efficiency of the LVTS scheme. The basin parameters are examined to understand the main characteristics on ground-motion response in the basin. The results show that the seismic energy is concentrated on a marginal area of the basin far from the source. This focusing effect is mainly due to the constructive interference of the direct S-wave with the basin-edge induced surface waves. The ground-motion amplification over the deepest part of the basin is relatively lower than that above the shallow basin edge. Therefore the ground-motion amplification may be more related to the source azimuth or the direction of the incident waves into the basin rather than the depth of it.

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