• Title/Summary/Keyword: 수치적 안정성

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Evaluation of the influence of pillar width on the stability of a twin tunnel (필라폭이 병설터널의 안정성에 미치는 영향 평가)

  • You, Kwang-Ho;Kim, Jong-Gyu
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.13 no.2
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    • pp.115-131
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    • 2011
  • Recently, considering the aspects of disaster prevention and environmental damage, the construction of a twin tunnel is increasing. When constructing a twin tunnel, the stresses are concentrated at the pillar so that stability of the tunnel is decreased. Since the previous studies on the behavior of a twin tunnel pillar are mainly restricted to the estimation of the tunnel behavior and the analysis of surface settlement, there is a limit to a quantitative stability estimation of the pillar. Therefore, it was quantitatively investigated how the pillar width of a twin tunnel affects its stability. To ensure this end, global tunnel safety factors obtained numerically using shear strength reduction technique, local safety factors of a pillar using the equation that Matsuda et al. suggested, and strength/stress ratios of the pillar were estimated and their results were analyzed for two sections with different rock covers. For a reasonable design of a twin tunnel pillar, it was turned out that strength/stress ratio, the local pillar safety factor, and global tunnel safety factor should be used interrelatedly rather than independently.

쯔나미 수치계산에 있어서의 공간격자간격의 선정기준

  • 이호준;금촌문언;수승신부
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1998.09a
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    • pp.12-16
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    • 1998
  • 현재 쯔나미의 계산에 있어서 수치계산의 안정성이나, 파형의 재현을 고려하기 위한 기준 등은 제시된 바 있다. 대표적인 예로 CFL 안정조건과 같이 계산의 불안정을 방지하기 위한 기준을 비롯하여 한 파장내에 적어도 20개의 공간격자를 확보하여야 한다는 등의 기준(Shuto,1991)이 그것이다. 또한, 쯔나미의 거동특성 중 하나인 분산현상에 대해서도 Imamura 등(1988)은 수치분산의 영향을 추정하였고, 저차방정식으로부터 고차의 근사해를 구하는 등의 수법을 제안하기도 하였다. (중략)

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A new implicit integration method for simulation of low-damped cloth (적은 감쇠효과를 가지는 의복 시뮬레이션을 위한 새로운 암시적 적분법)

  • Oh, Seung-Woo;Wohn, Kwan-Gyun
    • Journal of the Korea Computer Graphics Society
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    • v.10 no.2
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    • pp.17-26
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    • 2004
  • 본 연구는 적은 감쇠(damping) 효과를 가지면서도 안정적으로 의복의 움직임을 생성할 수 있는 시뮬레이션 방법을 제안한다. 최근 의복 시뮬레이션 분야에서는 뛰어난 수치적 안정성을 지닌 암시적 적분법(implicit integration)이 널리 이용되어 왔다. 그러나, 암시적 적분법은 선형화 과정에서 과도한 감쇠효과가 발생하고, 이 감쇠효과는 내부 변형 없는 회전이동 시에도 과도하게 나타나므로, 옷감의 회전 이동이나 주름의 자연스런 움직임을 크게 방해한다. 본 연구는 불필요한 감쇠효과를 줄이고 안정적으로 의복의 움직임을 표현할 수 있는 새로운 암시적 적분법을 제안한다. 제안하는 방법용 선형화 과정에서 발생하는 내부 감쇠력을 회전이용이 아닌 순수한 내부 변형에 대해서만 발생하도록 모델링하며, 이렇게 계산된 내부 감쇠력을 역학식에 안정적으로 반영한다. 실험 결과는 제안하는 방법이 기존의 방법들에 비해 보다 다양한 재질의 옷감을 과도한 감쇠 효과 없어도 안정적으로 실시간에 생성할 수 있음을 보여주었다.

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A Fully Coupled Hydrogeomechanical Numerical Analysis of Rainfall Impacts on Groundwater Flow in Slopes and Slope Stability (사면 내의 지하수 유동과 사면의 안정성에 대한 강수 영향의 완전 연동된 수리지질역학적 수치 해석)

  • 김준모
    • Journal of the Korean Geotechnical Society
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    • v.18 no.6
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    • pp.5-16
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    • 2002
  • A hydrogeomechanical numerical model is presented to evaluate rainfall impacts on groundwater flow in slopes and slope stability. This numerical model is developed based on the fully coupled poroelastic governing equations for groundwater flow in deforming variably saturated geologic media and the Galerkin finite element method. A series of numerical experiments using the model developed are then applied to an unsaturated slope under various rainfall rates. The numerical simulation results show that the overall hydromechanical slope stability deteriorates, and the potential failure nay initiate from the slope toe and propagate toward the slope crest as the rainfall rate increases. From the viewpoint of hydrogeology, the pressure head and hence the total hydraulic head increase as the rainfall rate increases. As a result, the groundwater table rises, the unsaturated zone reduces, the seepage face expands from the slope toe toward the slope crest, and the groundwater flow velocity increases along the seepage face. From the viewpoint of geomechanics, the horizontal displacement increases, and the vertical displacement decreases toward the slope toe as the rainfall rate increases. This may result from the buoyancy effect associated with the groundwater table rise as the rainfall rate increases. As a result, the overall deformation intensifies toward the slope toe, and the unstable zone, in which the factor of safety against shear failure is less than 1, becomes thicker near the slope toe and propagates from the slope toe toward the slope crest. The numerical simulation results also suggest that the potential tension failure is likely to occur within the slope between the potential shear failure surface and the ground surface.

Estimation Technique of Computationally Variable Distance Step in 1-D Numerical Model (1차원 수치모형의 가변 계산거리간격 추정 기법)

  • Kim, Keuk-Soo;Kim, Ji-Sung;Kim, Won
    • Journal of Korea Water Resources Association
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    • v.44 no.5
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    • pp.363-376
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    • 2011
  • 1-D hydrodynamic numerical models have been most widely used in the field of flood analysis. The model's input data are upstream/downstream boundaries, roughness coefficients, cross-sections, and so on, and computational distance step and time step are the most important factors in order to guarantee the computational accuracy, stability, and efficiency. In this study, a theoretical explanation is presented for the basis of the previous empirical selection criteria of cross-section's location; also, the estimation technique of computationally variable distance step is proposed to reflect the properties of flow at every computational time step. Combining this technique with 1-D unsteady numerical model, it was applied to two events of Teton dam failure flood and the Han River flood. The numerical experimental results demonstrate that the accuracy and stability is increased when used more interpolated cross-sections and show that the proposed technique of computationally variable distance step has the same order of accuracy with smaller numbers of cross-section than previous empirical selection criteria. The practical use of this technique will be possible to analyze the river floods with high efficiency as well as accuracy and stability.

Numerical Analysis Study for Behavioral Characteristics Analysis of Jeju Natural Caves (Jaeamcheon Lava Tube) That Intersect with Roads (도로와 교차하는 제주천연동굴(재암천굴)의 거동특성 분석을 위한 수치해석적 연구)

  • Lee, Jong-Hyun;Jin, Hyun-Sik;An, Joon-Sang;Baek, Yong
    • The Journal of Engineering Geology
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    • v.31 no.3
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    • pp.367-380
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    • 2021
  • This study evaluated the stability through a three-dimensional numerical analysis method when a natural cave exists under a road in operation in Jeju Island. In order to confirm the geometric and geotechnical characteristics of the Jeju natural cave passing under the road, existing geotechnical survey reports were collected, and were studied the characteristics. In order to evaluate the effect of vehicle vibration loading on the natural cave in Jeju, three-dimensional numerical analysis was performed considering discontinuities. Through this, the stability of roads and caves with respect to vehicle speed and the depth of cover (distance from the road to the top of the natural cave) was evaluated and countermeasures were suggested. In order to secure the long-term stability of the Jeju natural cave that penetrates the lower part of the road, it was evaluated that systematic management such as long-term measurement management, reinforcement measures, and emergency measures would be necessary depending on the depth of the cover.

Characteristics of Finite Difference Methods for the Shallow Water Equation (천수방정식의 유한차분 특성)

  • Lee, Kil Seong;Kang, Ju Whan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.1
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    • pp.41-52
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    • 1989
  • Numerical characteristics for the shallow water equation are analyzed with ADI, Hansen, Heaps, Richtmyer and MacCormack schemes. Stability, CPU time and accuracy are investigated for the linear model which has analytic solutions and circulation is simulated for the nonlinear model. The results show that ADI method has some defects in CPU time and accuracy for the computation of velocity. But ADI method simulates circulation well and has the largest stability region. Richtmyer scheme is the best among the other explicit schemes. Effective viscosity term is found to be essential for numerical experiments of the shallow water equation.

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Effective Simulation Technology for Near Shore Current Flow (연안해수유동에 관한 효율적인 수치계산기법)

  • Yoon, B.S.;Rho, J.H.;Fujino, M.;Hamada, T.
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.4
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    • pp.38-47
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    • 1995
  • The three-dimensional multi-layer computer simulation technology for tidal current developed in the previous study is updated to a new version. many improvements are achieved by following changes : (1) No-reflection condition is adopted instead of no-gradient condition as an open boundary condition. (2) Time marching algorithm is changed so that velocity and pressure(surface movement) might be salved in turn at different time step (3) Convection term in equation of motion is estimated by upwind differencing scheme instead of central differencing. The stability is improved considerably and the steady state is achieved within 2 tidal periods which is about 3 times shorter than that of the old version. Moreover, fluctuations in time disappeared by introducing the new time marching technique. An application to the real near shore area(near Inchon harbor) is performed by the new version. Simulated results are compared with those by the simulation total developed in the University of Tokyo. Validity and effectiveness of the two simulation technologies are chocked through the comparative research works.

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Development of Finite Difference Model for Tsunami Propagation (지진해일 전파모의를 위한 유한차분모형 개발)

  • Ahn, Seong-Ho;Ha, Tae-Min;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.52-56
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    • 2010
  • 본 연구에서는 지진해일의 전파 과정을 모의함에 있어 선형 천수방정식의 수치분산을 이용하는 기법이 아닌 선형 Boussinesq 방정식을 직접 차분하는 유한차분기법을 제안하였다. 지배방적식과 차분식의 일치성을 해석하기 위해 이산화 오차를 확인하고, 수치해의 안정적 수렴여부를 판단하기 위해 Von neumann 안정성 해석을 수행하였다. 또한 기법의 정확성을 검증하기 위하여 Gauss 분포의 초기 자유수면변위를 갖는 문제에 적용하여 선형 Boussinesq 방정식의 해석해와 비교하였다. 그 결과 기존의 선형 천수방정식을 차분화한 수치모형에 비하여 정확한 결과를 제공하였고 분산보정기법을 이용한 수치모형과 동일한 정확도를 보였으나 본 수치모형을 이용했을 때 비교적 넓은 범위의 조건에서 정확도 높은 결과를 제공하였다.

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Comparison of Modelling Characteristics of Distinct Element Analysis Based on Implicit and Explicit Algorithm (Implicit 및 explicit 알고리즘에 기초한 개별요소 수치해석 방법의 모델 링 특성 비교 연구)

  • 류창하
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.163-170
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    • 2000
  • The distinct element method has been effectively applied to the analysis of stability and behavior of jointed rock masses. In this paper the modelling characteristics of different types of distinct element model were investigated. Arch tunnel examples were chosen to compare the calculation results of two computer codes, NURBM and CBLOCK, where the former is based on implicit algorithm, and the other on explicit one. CBLOCK calculations show that joint properties are very important parameters in the stability analysis and that the joint stiffness ratio associated with joint configuration could be used as an indicator, whereas NURBM differ from that. Some other disagreements were also identified.

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