• Title/Summary/Keyword: finite layer methods

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Natural Convection in a Rectangular Cavity Washed Externally by a Turbulent Boundary Layer (외부 난류 경계층과 결합된 직사각형 공동에서의 자연대류)

  • 최철진;장근식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.518-527
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    • 1985
  • 대류-대류의 복합 열전달 문제를 유한차분법을 사용하여 수치적으로 연구하였다. 아래로부터 가열되는 직사각형 공동 내에서의 자연 대류와 공동 위쪽의 외부 난류 경계층 유동이 복합된 경우의 열전당 현상을 고려하였다. 두개의 서로 다른 모우드의 대류가 온도 분포가 미리 알려져 있지 않은 얇은 수평평판에 의해 분리되어져 있다는 점이 본 논문의 특이점이다. 수치적 해석은 Reynolds 수와 Grashof 수 및 공동의 기하학적 종횡비의 매개 변수적 효과가 발견되도록 행하여 졌다. 외부 난류 경계층 유동의 강도에 따라 공동 내에서의 유동 형태가 변할 수 있음을 알았다. 즉 내부 부력 세포의 회전 방향은 외부 유동의 존재에 의해 특성적으로 정해지며 공동 내의 유동 세포의 수는 Grashof 수가 증가 할수록 많아진다.

Application of ADE-PML Boundary Condition to SEM using Variational Formulation of Velocity-Stress 3D Wave Equation (속도-응력 변분식을 이용한 3차원 SEM 탄성파 수치 모사에 대한 ADE-PML경계조건의 적용)

  • Cho, Chang-Soo;Son, Min-Kyung
    • Geophysics and Geophysical Exploration
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    • v.15 no.2
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    • pp.57-65
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    • 2012
  • Various numerical methods in simulation of seismic wave propagation have been developed. Recently an innovative numerical method called as the Spectral Element Method (SEM) has been developed and used in wave propagation in 3-D elastic media. The SEM that easily implements the free surface of topography combines the flexibility of a finite element method with the accuracy of a spectral method. It is generally used a weak formulation of the equation of motion which are solved on a mesh of hexahedral elements based on the Gauss-Lobatto-Legendre integration rule. Variational formulations of velocity-stress motion are newly modified in order to implement ADE-PML (Auxiliary Differential Equation of Perfectly Matched Layer) in wave propagation in 3-D elastic media, because a general weak formulation has a difficulty in adapting CFS (Complex Frequency Shifted) PML (Perfectly Matched Layer). SEM of Velocity-Stress motion having ADE-PML that is very efficient in absorbing waves reflected from finite boundary is verified with simulation of 1-D and 3-D wave propagation.

An Analytical Study to Reduce Plastic Deformation in Intersection Pavements (교차로 포장 소성변형 저감을 위한 해석적 연구)

  • Choi, Jun-Seong;Lee, Kang-Hun;Kwon, Soo-Ahn;Jeong, Jin-Hoon
    • International Journal of Highway Engineering
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    • v.14 no.4
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    • pp.29-36
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    • 2012
  • PURPOSES : Plastic deformation is frequently made in intersection asphalt pavement at its early age due to deceleration and stoppage of vehicles. This study has been performed to provide a mechanistic basis for reasonable selection of paving method to minimize the plastic deformation at intersection. METHODS : Pavement layer, temperature, traffic volume of the intersections managed by the Daejeon Regional Construction and Management Administration were collected to calculate asphalt dynamic modulus with pavement depth by using a prediction equation suggested by the Korean pavement design guide. Performance of ordinary dense-graded asphalt pavement, polymer modified asphalt pavement, and fiber reinforced asphalt pavement was analyzed by finite element method and the results were used in a performance model to predict the plastic deformation. RESULTS : In aspect of performance, the three paving methods were usable under low traffic while the fiber reinforced asphalt pavement was the most suitable under heavy traffic. CONCLUSIONS : Reasonable paving method suitable for traffic characteristics in the intersection might be decided by considering economic feasibility.

Buckling Characteristics of Rigidly-jointed Single-Layer Latticed Domes with Square Network -Comparison between Experiment and Analysis- (사각형네트워크 단층래티스돔의 좌굴특성 -실험과 이론과의 비교-)

  • Jung, Hwan Mok
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.463-472
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    • 1998
  • The purpose of this paper is to analyze the buckling characteristics of rigidly-jointed single-layer latticed domes with square network by using the experimental and the theoretical techniques in order to develop a reasonable method of theoretical analysis for these domes. Two methods of theoretical analysis are applied; one is based on the Yamada's method of shell analogy and the other is based on the frame analysis method using the finite element method. The effects of the nonuniformity of rigidity-distribution in the circumferential direction and the rigidity of the covering material on both the prebuckling and the buckling characteristics are examined. The results indicate that these effects should be considered reasonably in the theoretical analyses.

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Analysis of Stratified Lake using an Eddy Diffusion and a Mixed-Layer Models (와확산 및 혼합층 모델을 이용한 성층화 호수 해석)

  • 김경섭
    • Water for future
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    • v.29 no.5
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    • pp.235-244
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    • 1996
  • A one-dimensional eddy diffusion model and a mixed-layer model are developed and applied to simulate the vertical temperature profiles in lakes. Also the running results of each method are compared and analyzed. In an eddy diffusion model, molecular diffusivity is neglected and eddy diffusivity which does not need lake-specific fitting parameter and constant lake's level are applied. The heat exchanges at the water surface and the bottom are formulated by the energy balance and zero energy gradient, respectively. In a mixed-layer model, two layers approach which has a constant thickness is adopted. Application of these models which use explicit finite difference an Runge-Kutta methods respectively demonstrates that the models efficiently simulate water temperatures.

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Weighted-averaging Finite-element Method for Scalar Wave Equation in the Frequency Domain (가중평균 유한요소법을 이용한 주파수영역에서의 인공 음향파 합성)

  • Hyun Hye-Ja;Suh Jung-Hee;Min Dong-Joo
    • Geophysics and Geophysical Exploration
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    • v.5 no.3
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    • pp.169-177
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    • 2002
  • We develop the weighted-averaging finite-element method which uses four kinds of element sets. By constructing global stiffness and mass matrices for four kinds of element sets and then averaging them with weighting coefficients, we obtain a new global stiffness and mass matrix. With the optimal weighting coefficients minimizing grid dispersion and grid anisotropy, we can reduce the number of grid points required per wavelength to 4 for a $1\%$ upper limit of error. We confirm the accuracy of our weighted-averaging finite-element method through accuracy analyses for a homogeneous and a horizontal-layer model. By synthetic data example, we reconfirm that our method is more efficient for simulating a geological model than previous finite-element methods.

Evaluation of Average Shear-wave Velocity Estimation Methods of Multi-layered Strata Considering Site Period (지반주기를 고려한 다층지반의 평균전단파속도 추정 방법 평가)

  • Kim, Dong-Kwan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.3
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    • pp.191-199
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    • 2019
  • To calculate proper seismic design load and seismic design category, the exact site class for construction site is required. At present, the average shear-wave velocity for multi-layer soil deposits is calculated by the sum of shear-wave velocities without considering of vertical relationship of the strata. In this study, the transfer function for the multi-layered soil deposits was reviewed on the basis of the wave propagation theory. Also, the transfer function was accurately verified by the finite element model and the eigenvalue analysis. Three methods for site period estimation were evaluated. The sum of shear-wave velocities underestimated the average shear-wave velocities of 526 strata with large deviations. The equation of Mexican code overestimated the average shear-wave velocities. The equation of Japanese code well estimated the average shear-wave velocities with small deviation.

Surface Catalytic Recombination in Hypersonic Flow: A Review of the Numerical Methods (극초음속 유동에서의 표면 촉매 재결합: 수치해석적 기법 리뷰)

  • Ikhyun Kim;Yosheph Yang
    • Journal of Industrial Technology
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    • v.43 no.1
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    • pp.33-41
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    • 2023
  • This paper provides a general overview of surface catalytic recombination in hypersonic flow. The surface catalytic recombination phenomena is elaborated in terms of its general overview and numerical modeling associated with it. The general overview of the surface catalytic recombination phenomena describes the elementary surface reactions for the surface catalytic and the role of the surface catalytic recombination efficiency in the heat transfer determination. In the numerical modeling, the surface catalytic recombination is described based on the stagnation-point boundary layer analysis, and finite-rate surface reaction modeling. Throughout this overview manuscript, a general understanding of this phenomena is obtained and can be used as foundation for deeper application with the numerical computational fluid dynamics (CFD) flow solver to estimate the surface heat transfer in the hypersonic vehicles.

Analytical calculation method for the axial equivalent elastic modulus of laminated FRP pipes based on three-dimensional stress state

  • Chen, Li;Pan, Darong;Zhao, Qilin;Chen, Li;Chen, Liang;Xu, Wei
    • Structural Engineering and Mechanics
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    • v.77 no.1
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    • pp.137-149
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    • 2021
  • In engineering design, the axial equivalent elastic modulus of laminated FRP pipe was mostly calculated by the average elastic modulus method or the classical laminated plate theory method, which are based on relatively simplified assumptions, and may be not accurate enough sometimes. A new analytical calculation method for the axial equivalent elastic modulus of laminated FRP pipe was established based on three-dimensional stress state. By comparing the results calculated by this method with those by the above two traditional analytical methods and the finite element method, it is found that this method for the axial equivalent elastic modulus fits well not only for thin-walled pipes with orthotropic layers, but also for thick-walled pipes with arbitrary layers. Besides, the influence of the layer stacking on the axial equivalent elastic modulus was studied with this method. It is found that a proper content of circumferential layer is beneficial for improving the axial equivalent elastic modulus of the laminated FRP pipe with oblique layers, and then can reduce its material quantity under the premise that its axial stiffness remains unchanged. Finally, the meso-mechanical mechanism of this effect was analyzed. The improving effect of circumferential layer on the axial equivalent elastic modulus of the laminated FRP pipe with oblique layers is mainly because that, the circumferential fibers can restrain the rigid body rotations of the oblique fibers, which tend to cause the significant deformations of the pipe wall units and the relatively low axial equivalent elastic modulus of the pipe.

A Dispersive APML using Piecewise Linear Recursive Convolution for FDTD Method (FDTD법을 이용하여 분산매질을 고려하기 위한 PLRC-APML 기법)

  • Lee Jung-Yub;Lee Jeong-Hae;Kang No-Weon;Jung Hyun-Kyo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.10 s.89
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    • pp.977-982
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    • 2004
  • In this paper, a dispersive anisotropic perfectly matched layer(APML) is proposed using piecewise linear recursive convolution(PLRC) for finite difference time domain(FDTD) methods. This proposed APML can be utilized for the analysis of a nonlinear dispersive medium as absorbing boundary condition(ABC). The formulation is simple modification to the original AMPL and can be easily implemented. Also it has some advantages of the PLRC approach-fast speed, low memory cost, and easy formulation of multiple pole susceptibility. We applied this APML to 2-D propagation problems in dispersive media such as Debye and Lorentz media The results showed good absorption at boundaries.