• Title/Summary/Keyword: analytic and numerical analysis

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Analysis of Flow Resistance in Microchannels at Slip-Flow Regime by Direct Simulation Monte Carlo Method (DSMC를 이용한 미끄럼흐름영역에서 미소채널의 유동저항 해석)

  • Sung Jaeyong;Ahn Youngkyoo;Lee Sukjong;Lee Myeong Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.1 s.244
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    • pp.1-7
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    • 2006
  • The characteristics of micro gaseous flows in microchannels have been analyzed in view of flow resistance using the direct simulation Monte Carlo (DSMC) method which is a molecule-based numerical modeling technique. For this purpose, a DSMC code where the pressure boundary condition was specified at the inlet and outlet, has been developed and the results of simulations showed satisfactory agreements with the analytic solution in the slip flow regime. (0.01 < Kn < 0.1) By varying the height and length of the microchannel, the effect of pressure difference between the inlet and outlet was examined. The present computation indicates that the curvature in pressure distribution along the channel increases due to the effect of compressibility when the pressure difference increases. To obtain the flow resistance regardless of the channel dimensions, a standard curve is devised in the present study by introducing the concept of unit mass flowrate and unit driving pressure force. From this curve, it is shown that in micro flows, a significant deviation from the laminar incompressible flow occurs by reducing the flow resistance.

Coupled CFD-FEM simulation of hydrodynamic responses of a CALM buoy

  • Gu, Haoyuan;Chen, Hamn-Ching;Zhao, Linyue
    • Ocean Systems Engineering
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    • v.9 no.1
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    • pp.21-42
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    • 2019
  • In this paper, the Finite-Analytic Navier-Stokes (FANS) code is coupled with an in-house finite-element code to study the dynamic interaction between a floating buoy and its mooring system. Hydrodynamic loads on the buoy are predicted with the FANS module, in which Large Eddy Simulation (LES) is used as the turbulence model. The mooring lines are modeled based on a slender body theory. Their dynamic responses are simulated with a nonlinear finite element module, MOORING3D. The two modules are coupled by transferring the forces and displacements of the buoy and its mooring system at their connections through an interface module. A free-decay model test was used to calibrate the coupled method. In addition, to investigate the capability of the present coupled method, numerical simulations of two degree-of-freedom vortex-induced motion of a CALM buoy in uniform currents were performed. With the study it can be verified that accurate predictions of the motion responses and tension responses of the CALM buoy system can be made with the coupling CFD-FEM method.

Analysis on Interaction of Regular Waves and a Circular Column Structure (전산유체역학을 이용한 규칙파와 원형 기둥 구조물의 상호작용 해석)

  • Song, Seongjin;Park, Sunho
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.20 no.2
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    • pp.63-75
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    • 2017
  • In offshore environment, an accurate estimation of a wave-structure interaction has been an important issue for safe and cost effective design of fixed and floating offshore structures exposed to a harsh environment. In this study, a wave-structure interaction around a circular column was investigated with regular waves. To simulate 3D two-phase flow, open source computational fluid dynamics libraries, called OpenFOAM, were used. Wave generation and absorption in the wave tank were activated by the relaxation method, which implemented in a source term. To validate the numerical methods, generated Stokes 2nd-order wave profiles were compared with the analytic solution with deep water condition. From the validation test, grid longitudinal and vertical sizes for wave length and amplitude were selected. The simulated wave run-up and wave loads on the circular column were studied and compared with existing experimental data.

A stress-function variational approach toward CFRP -concrete interfacial stresses in bonded joints

  • Samadvand, Hojjat;Dehestani, Mehdi
    • Advances in concrete construction
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    • v.9 no.1
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    • pp.43-54
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    • 2020
  • This paper presents an innovative stress-function variational approach in formulating the interfacial shear and normal stresses in an externally bonded concrete joint using carbon fiber-reinforced plastic (CFRP) plies. The joint is subjected to surface traction loadings applied at both ends of the concrete substrate layer. By introducing two interfacial shear and normal stress functions on the CFRP-concrete interface, based on Euler-Bernoulli beam idea and static stress equations of equilibrium, the entire stress fields of the joint were determined. The complementary strain energy was minimized in order to solve the governing equation of the joint. This yields an ordinary differential equation from which the interfacial normal and shear stresses were proposed explicitly, satisfying all the multiple traction boundary conditions. Lamination theory for composite materials was also employed to obtain the interfacial stresses. The proposed approach was validated by the analytic models in the literature as well as through a comprehensive computational code generated by the authors. Furthermore, a numerical verification was carried out via the finite element software ABAQUS. In the end, a scaling analysis was conducted to analyze the interfacial stress field dependence of the joint upon effective issues using the devised code.

Propagation Characteristics of a Surface Crack on a Semi-Infinite Body Due to Frictional Heating (마찰열에 의한 반무한체 표면균열의 전파특성)

  • Park, Jun-Ho;Park, Eun-Ho;Kim, Chae-Ho;Kim, Seock-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3126-3134
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    • 1996
  • In this paper, to examine the propagation of inclined surface crack due to frictional heating, analytic model is considered as the semi-infinite elastic body subjected to the thermo-mechanical loading of an asperity moving with a high speed. Considering the moving of frictional heat source and convection on a semi-infinite surface having inclined crack, theoretical analysis was carried out to estimate the propagation characteristics of thermo-mechanical crack. Numerical results showed that stress intensity factor $K_\prod/P_0\sqrt{c}$ is increasing with increasing velocity and frictional coefficient, inclined degree, decreasing crack length and the maximum value of it is positioned at the trailing edge. So it is shown that the propagation probability of surface crack is high at the trailing edge of contact area as increasing velocity and frictional coefficient, inclined degree, as decreasing crack length.

Analysis of an HTS coil for large scale superconducting magnetic energy storage

  • Lee, Ji-Young;Lee, Seyeon;Choi, Kyeongdal;Park, Sang Ho;Hong, Gye-Won;Kim, Sung Soo;Lee, Ji-Kwang;Kim, Woo-Seok
    • Progress in Superconductivity and Cryogenics
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    • v.17 no.2
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    • pp.45-49
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    • 2015
  • It has been well known that a toroid is the inevitable shape for a high temperature superconducting (HTS) coil as a component of a large scale superconducting magnetic energy storage system (SMES) because it is the best option to minimize a magnetic field intensity applied perpendicularly to the HTS wires. Even though a perfect toroid coil does not have a perpendicular magnetic field, for a practical toroid coil composed of many HTS pancake coils, some type of perpendicular magnetic field cannot be avoided, which is a major cause of degradation of the HTS wires. In order to suggest an optimum design solution for an HTS SMES system, we need an accurate, fast, and effective calculation for the magnetic field, mechanical stresses, and stored energy. As a calculation method for these criteria, a numerical calculation such as an finite element method (FEM) has usually been adopted. However, a 3-dimensional FEM can involve complicated calculation and can be relatively time consuming, which leads to very inefficient iterations for an optimal design process. In this paper, we suggested an intuitive and effective way to determine the maximum magnetic field intensity in the HTS coil by using an analytic and statistical calculation method. We were able to achieve a remarkable reduction of the calculation time by using this method. The calculation results using this method for sample model coils were compared with those obtained by conventional numerical method to verify the accuracy and availability of this proposed method. After the successful substitution of this calculation method for the proposed design program, a similar method of determining the maximum mechanical stress in the HTS coil will also be studied as a future work.

Numerical Analysis of Hydrograph Determination for Cohesive Soil Levee (조립토 하천제방의 수위파형결정에 관한 수치해석적 연구)

  • Kim, Jin-Man;Kim, Ji-Sung;Oh, Eun-Ho;Cho, Won-Beom
    • Journal of the Korean Geotechnical Society
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    • v.30 no.4
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    • pp.81-92
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    • 2014
  • The integrity evaluation of river levee includes slope stability evaluation of riverside land and protected low-land, and safety of piping with respect to critical gradient and critical velocity based on related regulations, such as Design Criteria Rivers Commentary (2009), Structural Design Criteria Based Commentary (2009). The design hydro-graph is the most important design input factor for the integrity evaluation; it can be inaccurate due to the absence of its decision methods suggested by the national level. The authors in this paper evaluated numerical analytic levee integrity for piping and slope stability by changing each design hydro-graph, including rising ordinary water level, lasting flood water level, falling water level, and flood frequency for Mun-san-jae on Nak-dong River. Finally, the authors suggested that the levee integrity of piping and slope stability are very sensitive to the changes of increasing time of ordinary water level by 57 hours and lasting time of the flood water level by 53 hours, respectively, for Mun-san-jae.

Vibration Intensity Analysis of Penetration Beam-plate Coupled Structures (관통보와 평판의 연결 구조물에 대한 진동인텐시티 해석)

  • 홍석윤;강연식
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.1
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    • pp.73-81
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    • 2002
  • The transmission of vibration energy through beam-plate junctions in vibration intensity analysis called power new analysis (PFA) has been studied. PFA is an analytic tool for the prediction of frequency averaged vibration response of built-up structures at medium to high frequency ranges. The power transmission and reflection coefficients between the semi-infinite beam and plate are estimated using the wave transmission approach. For the application of the power coefficients to practical complex structures, the numerical methods, such as finite element method are needed to be adapted to the power flow governing equation. To solve the discontinuity of energy density at the joint, joint matrix is developed using energy flow coupling relationships at the beam-plate joint. Using the joint matrix developed in this paper, an idealized ship stem part is modeled with finite element program, and vibration energy density and intensity are calculated.

Development of an Analytic Algorithm to Simulate Bond-Slip Effect (부착슬립효과를 모사하기 위한 해석기법의 개발)

  • Kwak, Hyo Gyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.711-719
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    • 1994
  • This paper deals with the development of an efficient algorithm which can consider the bond-slip effect in numerical analysis of reinforced concrete structures. Unlike the classical bond-link or bond-zone element using double nodes, the proposed model is considering the bond-slip effect without taking double nodes by incorporation of the equivalent steel stiffness. Moreover after calculation of nodal displacements, the deformation of steel at each node can be found out through the back-substitution technique from first up to final steel element using a governing equation constructed based on the equilibrium at each node of steel and the compatibility condition between steel and concrete.

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Convergence rates of the TE EFIE scattering solutions from a PEC cylinder (PEC 원통을 TE EFIE 방법으로 산란 해석한 결과의 수렴율)

  • Hong, Chinsoo;Bae, HyungChul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.10
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    • pp.7189-7195
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    • 2015
  • The method of moments (MoM) is implemented to simulate scattering from a PEC (perfectly electric conductor) cylinder in the TE(transversw electric) EFIE (Electric Field Integral Equation) approach. The procedure expresses the singularity integral and the hypersingularity integral in terms of an analytic function and employs a singularity isolation process coupled with numerical technique along the discretized segment to evaluate the self terms. It is known that, in the MoM technique, the choice of base functions and test functions is very important for the accuracy and convergence of the numerical analysis. Thus, in this paper, three conditions, obtained from the combination of basis functions and test functions, are adopted to get the induced currents on the PEC surface. These currents are compared to the analytical one in the relative rms current error to get the condition that shows fast convergence rate. The fast order of convergence of the current error, 2.528, is obtained under the combination of pulse basis function/delta test function.