• Title/Summary/Keyword: numerical evaluation

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MINIMAL LOCALLY STABILIZED Q1-Q0 SCHEMES FOR THE GENERALIZED STOKES PROBLEM

  • Chibani, Alima;Kechkar, Nasserdine
    • Journal of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1239-1266
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    • 2020
  • In this paper, some novel discrete formulations for stabilizing the mixed finite element method Q1-Q0 (bilinear velocity and constant pressure approximations) are introduced and discussed for the generalized Stokes problem. These are based on stabilizing discontinuous pressure approximations via local jump operators. The developing idea consists in a reduction of terms in the local jump formulation, introduced earlier, in such a way that stability and convergence properties are preserved. The computer implementation aspects and numerical evaluation of these stabilized discrete formulations are also considered. For illustrating the numerical performance of the proposed approaches and comparing the three versions of the local jump methods alongside with the global jump setting, some obtained results for two test generalized Stokes problems are presented. Numerical tests confirm the stability and accuracy characteristics of the resulting approximations.

Computational fluid dynamics simulation of pedestrian wind in urban area with the effects of tree

  • Chang, Cheng-Hsin
    • Wind and Structures
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    • v.9 no.2
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    • pp.147-158
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    • 2006
  • The purpose of this paper is to find a more accurate method to evaluate pedestrian wind by computational fluid dynamics approach. Previous computational fluid dynamics studies of wind environmental problems were mostly performed by simplified models, which only use simple geometric shapes, such as cubes and cylinders, to represent buildings and structures. However, to have more accurate and complete evaluation results, various shapes of blocking objects, such as trees, should also be taken into consideration. The aerodynamic effects of these various shapes of objects can decrease wind velocity and increase turbulence intensity. Previous studies simply omitted the errors generated from these various shapes of blocking objects. Adding real geometrical trees to the numerical models makes the calculating domain of CFD very complicated due to geometry generation and grid meshing problems. In this case the function of Porous Media Condition can solve the problem by adding trees into numerical models without increasing the mesh grids. The comparison results between numerical and wind tunnel model are close if the parameters of porous media condition are well adjusted.

Analytical testing and evaluation of truss typed structures for tunnel maintenance

  • Lee, Dongkyu;Kim, Dohwan;Lee, Jaehong;Noh, Pilsung;Park, Sungsoo
    • Smart Structures and Systems
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    • v.15 no.4
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    • pp.949-961
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    • 2015
  • The goal of this study is to present numerical modeling and analytical testing in order to evaluate an innovative space truss typed temporary structure, which is used to maintenance and repair of road tunnels. The present space truss structure has merits to use UL-700 high strength steel tube as members and to carry out maintenance and repair works of road tunnels without blocking cars and transportations. Numerical modeling and analytical testing of the space truss are investigated by using commercial engineering software, i.e., ABAQUS 6.5-1, and then it is verified that the truss structure has both structural safety and effective function for maintenances and repairs of road tunnels.

Numerical Analysis of Shrinkage Cavity Formation using the Modified Fluid Critical Solid Fraction Method (유동한계 고상율법을 이용한 수축공 생성의 수치해석)

  • Lee, Jae-Kyung;Choi, Jeong-Kil;Hong, Chun-Pyo
    • Journal of Korea Foundry Society
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    • v.18 no.6
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    • pp.555-562
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    • 1998
  • Modified fluid critical solid fraction method was utilized as a prediction parameter to describe the shrinkage formation including the position, shape and amount of shrinkage cavities. A numerical scheme was implemented adapting this method for the evaluation of solidification defects in various casting processes. In the present numerical code, the form of shrinkage cavity can be simultaneously determined when an isolated loop is predicted to occur by the fluid critical solid fraction method. An auxiliary parameter, shrinkage potential, was also used in order to calculate the amount of residual liquid during solidification. Solidification analysis was carried out for the validation of the present scheme. It was shown that the calculated results were in good agreement with those of practical casting runs in all of the casting processes envolved in the present research. It may be concluded that the present program successfully predicts the detailed shrinkage formation behavior without the consideration of interdendritic fluid flow analysis.

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An Evaluation of the Hamrock and Dowson's EHL Film Thickness Formulas (Hamrock과 Dowson의 EHL 유막두께식에 대한 평가)

  • 박태조
    • Tribology and Lubricants
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    • v.12 no.3
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    • pp.115-122
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    • 1996
  • In this paper, a finite difference method and the Newton-Raphson method are used to evaluate the Hamrock and Dowson's EHL film thickness formulas in elliptical contact problems. The minimum and central film thicknesses are compared with the Hamrock and Dowson's numerical results for various dimensionless parameters and with their film thickness formulas. The results of present analysis are more accurate and physically reasonable. The minimum film thickness formula is similar with the Hamrock and Dowson's results, however, the central film thickness formula shows large differences. Therefore, the Hamrock and Dowson's central film thickness formula should be replaced by following equation. $H_{c} = 4.88U^{0.68}G^{0.44}W^{0.096}(1-0.58e^{-0.60k})$ More accurate film thickness formula for general elliptical contact problems can be expected using present numerical methods and further research should be required.

Evaluation of Alternative Approaches for Nonlinear Cross-anisotropic Parameters on the Small Strain Model based on Triaxial Test Results (삼축 시험을 이용한 미소 변형 모델의 비선형 직교 이방 계수에 대한 평가 방법 고찰)

  • Chun, Sung-Ho;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.286-300
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    • 2006
  • Nonlinear cross-anisotropic properties of soil is critical for exact numerical simulation. Theoretically, initial cross-anisotropic properties can be evaluated from triaxial tests with bender element tests, and nonlinear cross-anisotropic properties over initial strain level cannot be evaluated from triaxial tests. In this study, a supposed condition among nonlinear cross-anisotropic properties is suggested to calculate nonlinear cross-anisotropic properties from triaxial tests. Maximum strain and incremental strain energy are applied to combine triaxial test results and theoretical normalized shear modulus curve, respectively Based on combined results, nonlinear cross-anisotropic properties are calculated. Numerical simulation for triaxial tests Is carried out to verify the applicability of the supposed condition with calculated cross-anisotropic properties and simplified nonlinear cross-anisotropic model.

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A Study on the Flow Characteristics of Fluidic Valve (Fluidic Valve의 유동 특성에 관한 연구)

  • Yoo, Seong-Yeon;Jie, Myoung-Seok;Kim, Ki-Hyung;Kim, Man-Woong
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.425-432
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    • 2001
  • Fluidic valve is adopted in APR1400 to control passively the flow rate of cooling water from the safety injection tank. It is necessary to establish independent evaluation guideline for the flow characteristics of fluidic valve in order to secure safety. Three dimensional numerical model for fluidic valve is developed and numerical results are compared with experimental data obtained at KAERI in order to verify numerical simulation. Also influence of the grid number and the turbulence model were investigated. In addition, variation of flow rate is investigated at various elapsed times after valve operating, and flow characteristics are analyzed at low and high flow rate conditions, respectively.

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Aspherical Lens Manufacturing Technology in the Optical Storage Device (광 정보 저장 장치에서의 비구면 렌즈 가공 기술)

  • 이호철;김대식;이철우;김부태;양민양
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.964-967
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    • 2001
  • Aspherical lens with the higher numerical aperture has been needed in the optical storage device to increase the recording density on the disk. However, high numerical aperture means the large slope angle at the clear aperture of the lens. Therefore, the measurement and manufacturing technique including the lens molding process for the slope angle should be developed. In this paper, the evaluation technique was described for the optical performance of the aspherical lens. Aspherical form error brings about the wavefront error and the side lobe of the beam intensity profile. A schematic diagram of the aspherical lens manufacturing was drawn to explain the aspherical form error compensation. Finally, form error of the aspherical lens was defined and plotted using the raw data of the Formtalysurf.

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Numerical Investigation of the Cover-Plates Effects on the Rectangular Open Cavity (직사격형 공동에서 덮개 효과에 대한 수치적 연구)

  • 허대녕;이덕주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.457-464
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    • 2001
  • The aeroacoustic phenomena in the simple rectangular open cavity are well published by many researchers. But the geometry shapes of aircraft landing gear wells, weapon bays, etc. are more complicate than that of the simple retangular cavity. They are more similar to the cavity having cover-plates at adges, or Helmholtz resonator. Therefore, the effects of cover-plates existing on edges of rectangular open cavity are numerically investigated in this paper. The compressible Navier-Stokes equations are solved for two-dimensional cavities with laminar boundary layers upstream. The high-order and high-resolution numerical schemes are used for the evaluation of spatial derivatives and the time integration. Physically correct numerical boundary conditions and buffer zone techniques are implemented to produce time-accurate solutions in the whole computation domain. The computational domain is large enough to directly resolve a portion of the radiated acoustic field. Results show that the cover-plates existing on edges of cavity reduce the noise convected from cavity, make the frequency of noise become higher, and change the directivity pattern. So these results can be used in the design of a low noise cavity.

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Some aspects of the dynamic cross-wind response of tall industrial chimney

  • Gorski, Piotr
    • Wind and Structures
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    • v.12 no.3
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    • pp.259-279
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    • 2009
  • The paper is concerned with the numerical study of the cross-wind response of the 295 m-tall six-flue industrial chimney, located in the power station of Belchatow, Poland. The response of the chimney due to turbulent wind flow is caused by the lateral turbulence component and vortex excitation with taking into account motion-induced wind forces. The cross-wind response has been estimated by means of the random vibration approach. Three power spectral density functions suggested by Kaimal, Tieleman and Solari for the evaluation of the lateral turbulence component response are taken into account. The vortex excitation response has been calculated by means of the Vickery and Basu's model including some complements. Motion-induced wind forces acting on a vibrating chimney have been modeled as a nonlinear aerodynamic damping force. The influence of three components mentioned above on the total cross-wind response of the chimney has been investigated. Moreover, the influence of damping ratios, evaluated by Multi-mode Random Decrement Technique, and number of mode shapes of the chimney have been examined. Computer programmes have been developed to obtain responses of the chimney. The numerical results and their comparison are presented.