• Title/Summary/Keyword: compressibility

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AN IMPLICIT NUMERICAL SCHEME FOR SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR GRIDS

  • Fayyaz, Hassan;Shah, Abdullah
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.881-898
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    • 2018
  • This article deals with implementation of a high-order finite difference scheme for numerical solution of the incompressible Navier-Stokes equations on curvilinear grids. The numerical scheme is based on pseudo-compressibility approach. A fifth-order upwind compact scheme is used to approximate the inviscid fluxes while the discretization of metric and viscous terms is accomplished using sixth-order central compact scheme. An implicit Euler method is used for discretization of the pseudo-time derivative to obtain the steady-state solution. The resulting block tridiagonal matrix system is solved by approximate factorization based alternating direction implicit scheme (AF-ADI) which consists of an alternate sweep in each direction for every pseudo-time step. The convergence and efficiency of the method are evaluated by solving some 2D benchmark problems. Finally, computed results are compared with numerical results in the literature and a good agreement is observed.

Three Dimensional Incompressible Unsteady Flows in a Circular Tube Using the Navier-Stokes Equations With Beam and Warming Method (원형관에서의 음해법을 이용한 차원 3차원 비압축성 부정류 흐름에 관한 수치모의)

  • Park, Ki-Doo;Lee, Kil-Seong;Sung, Jin-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1624-1629
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    • 2008
  • The governing equations in generalized curvilinear coordinates for a 3D pulsatile flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. The computational technique implements the implicit approximate factorization method of the Beam and Warming method (1978), which is the extension of the Alternate Direction Implicit (ADI) method. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Rindt & Steenhoven, 1991).

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The Effect of Compressibility Terms on the Simulation of the Flowfield around a Cylinderical Afterbody (실린더 후부 유동장 모사를 위한 압축성 수정항의 영향)

  • 김성훈;정명균
    • Journal of the Korean Society of Propulsion Engineers
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    • v.3 no.1
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    • pp.15-23
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    • 1999
  • K-$\omega$ model is used for simulation of flowfield around the cylinderical afterbody. In addition to two-equation turbulence model, modification terms for the compressibility effects are applied to the simulation. Although the estimations of the skin friction and the surface pressure distribution at hypersonic ramp flowfield were satisfactory, the result of the simulation with the modifications for this flowfield is worse than that of the original K-$\omega$ model. The compressiblility modification terms do negative effects on the estimation. The basic research on the turbulence model for the compressible flowfield has to be further conducted.

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Compressibility Characteristics of Pusan Clays (부산점토의 압축특성)

  • ;;Pham Huy Giao
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.361-368
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    • 2000
  • In other to examine the compressibility characteristics of cohesive soils in the mouth of the Nakdong river, the oedometer tests were peformed on undisturbed and reconstituted samples obtained by continuous boring typically at 3 different sites. It is meaningful to compare the consolidation behavior of natural clays with a reference state because the natural clays are depending on the stress history, sedimentary environment and geological history. In this study, the insitu state of the Pusan clays was investigated using the concepts of ISL(Nagaraj, 2000) and ICL and SCL(Burland, 1990). And for the purpose of confirming the existence of the underconsolidated clays, a standpipe type piezometer test and a dissipation test by piezocone were performed at their sites. Consequently, the Pusan clays were evaluated as normally consolidated clays.

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Study on Determining Consolidation Parameters of Soft Clay Ground Improved by Sand Pile (모래말뚝이 타설된 연약점토지반의 압밀정수결정에 관한 연구)

  • You, Seung-Kyong;Matsui, Tamotsu;Hong, Won-Pyo;Kim, Tae-Hyung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.264-271
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    • 2005
  • Sand pile method, such as sand drain method and sand compaction pile method, has been popularly used as an improvement method for soft clay grounds. The effect of accelerating consolidation of soft clay grounds has been evaluated with Barron's solution. By the way, the consolidation behavior of soft clay ground with sand piles strongly depends on both the nonlinear mechanical interaction between sand piles and surrounding clays and the degradation permeability of clays. In this paper, the method for determining consolidation parameters of soft clay ground with sand drains by using Barron's solution was proposed, through a series of numerical simulations. Through the method, the change in both volume compressibility and permeability during consolidation was reasonably evaluated.

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Compressibility Factor Effect on the Turbulence Heat Transfer of Super-critical Carbon Dioxide by an Elliptic-blending Second Moment Closure (타원혼합모형을 이용한 초임계상태 이산화탄소의 압축성계수에 의한 난류열전달 특성)

  • Han, Seong-Ho;Seo, Jeong-Sik;Shin, Jung-Kun;Choi, Young-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.1 s.256
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    • pp.40-50
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    • 2007
  • The present contribution describes the application of elliptic-blending second moment closure to predict the gas cooling process of turbulent super-critical carbon dioxide flow in a square cross-sectioned duct. The gas cooling process under super-critical state experiences a drastic change in thermodynamic and transport properties. Redistributive terms in the Reynolds stress and turbulent heat flux equations are modeled by an elliptic-blending second moment closure in order to represent strongly non-homogeneous effects produced by the presence of walls. The main feature of Durbin's elliptic relaxation second moment closure that accounts for the nonlocal character of pressure-velocity gradient correlation and the near-wall inhomogeneity guaranteed by the elliptic blending second moment closure.

THE EFFECT OF FORMATION OF PAPER FROM EUCALYPTUS CHEMIMECHANICAL PULP ON PRINTABILITY

  • Kai-Tang HU;Guo-Min TAN;Qi-Rong FU;Nam-Soek CHO
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 1999.04b
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    • pp.394-397
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    • 1999
  • The relation between the paper formation analyzer by image process system and smoothness, compressibility uniform of ink absorption is studied. There results indicate that the paper with bad formation has higher apparent bulk than the paper with good formation. The bad formation of paper results in the nonuniform calendering and decrease of the compressibility. The bad formation of paper also results in deformation and omission of printing dots, which affects the reproduction of the printing images.

A Numerical Simulation of Longitudinal Vortex in Turbulent Boundary Layers (3차원 난류경계층 내에 존재하는 종방향 와동의 유동특성에 관한 수치적 연구)

  • Yang, Jang-Sik;Lee, Ki-Baik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.6
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    • pp.802-813
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    • 2000
  • This paper represents numerical computations of the interaction between the longitudinal vortex and a flat plate 3-D turbulent boundary layer. In the present study, the main interest is in the behavior of longitudinal vortices introduced in turbulent boundary layers. The flow field behind vortex generator is modeled by the information that is available from studies on the delta winglet. Also, the Reynolds-averaged Navier-Stoke equations for three-dimensional turbulent flows, together with a two-layer turbulence model to resolve the near-wall flow, is solved by the method of pseudo compressibility. The present results show that the boundary layer is thinned in the regions where the secondary flow is directed toward the wall and thickened where it is directed away from the wall, and have a good agreement with the experimental data.

FEM Analysis of alternatively laminated structure constructed of rubber and reinforced aluminium layers (고무 알루미늄 적층 구조물의 유한요소 해석)

  • Park, Sung-Han;Lee, Bang-Up;Hong, Myung-Pyo;Ryu, Back-Reung
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.402-406
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    • 2000
  • Strain energy function of the isoprene rubber was accurately determined by the experiments of uniaxial tension, planar tension, biaxial tension and volumetric compression. Deformation behavior of alternatively laminated structure of elastomer and reinforced aluminium layers, was analysed by Finite Element method. As a result, Ogden strain energy function obtained from the experiments describes the hyperelastic characteristics of the rubber very well. The compressibility of the rubber reduces axial stiffness of the structure. The axial stiffness of alternatively laminated structure being larger than shear stiffness. Which enables the structure to be shear-deformed easily.

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Quality Improvement for Crimping Process of Electrical Connector Using FEM Analysis (유한요소해석을 통한 전기 커넥터의 압착 품질 향상)

  • Yin, Z.H.;Park, J.G.;Choi, H.S.;Kim, Y.S.
    • Transactions of Materials Processing
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    • v.18 no.3
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    • pp.229-235
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    • 2009
  • This paper covers finite element simulations to evaluate the terminal crimping process of automobile electrical connector. Crimping is a classical technology process to ensure the electrical and the mechanical link between a wire and a terminal. Numerical modeling of the process is helpful to choose and to optimize the dimensions of the crimping part of the connector. In this paper, we discuss a 2D simulation of the crimping process, using explicit finite element methods (ABAQUS/Explicit) and we compare the results with experimental data from the industrial process of crimping (crimping height, crimping width and compressibility). The explicit method is preferred for the modeling of multi-contact problems, in spite of the quasi-static process of crimping. As compared with CAE analysis, a performance improvement makes certain of the truth of the matter.