• Title/Summary/Keyword: finite difference/finite volume method

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Direct Numerical Simulation of 3-Dimensional Axial Turbulent Boundary Layers with Spanwise Curvature

  • Shin, Dong-Shin
    • Journal of Mechanical Science and Technology
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    • v.14 no.4
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    • pp.441-447
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    • 2000
  • Direct numerical simulation has been used to study turbulent boundary layers with convex curvature. A direct numerical simulation program has been developed to solve incompressible Navier-Stokes equations in generalized coordinates with the finite volume method. We considered two boundary layer thicknesses. When the curvature effect is small, mean velocity statistics show little difference with those of a plane channel flow. Turbulent intensity decreases as curvature increases. Contours suggest that streamwise vorticities are strong where large pressure fluctuations exist.

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Modeling of Thermal Conductivity of Carbon Spun Yarn (탄소 방적사의 열전도도 모델링)

  • Cho Young Jun;Sul In Hwan;Kang Tae Jin;Park Jong Kyoo
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.04a
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    • pp.186-189
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    • 2004
  • A thermal model of carbon spun yam is presented. The unit cell of spun carbon yam is divided into a number of volume elements and the local material properties have been given to each element. By using Finite Difference Method (FDM), temperature distribution in the unit cell can be obtained. Effective thermal conductivity of the spun carbon yam unit cell is calculated using the temperature distribution and thermal conductivities of local elements.

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Thermal Diffusion Process Modeling with Adaptive Finite Volume Method (적응성 유한체적법을 적용한 다차원 확산공정 모델링)

  • 이준하;이흥주
    • Journal of the Semiconductor & Display Technology
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    • v.3 no.3
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    • pp.19-21
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    • 2004
  • This paper presents a 3-dimensional diffusion simulation with adaptive solution strategy. The developed diffusion simulator VLSIDIF-3 was designed to re-refine areas. Refine scheme was calculated by the difference of doping concentration between any of two nodes. Each element is greater than tolerance and redo diffusion process until error is tolerable. Numerical experiment in low doping diffusion problem showed that this adaptive solution strategy is very efficient in both memory and time, and expected this scheme would be more powerful in complex diffusion model.

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A MODIFIED CAHN-HILLIARD EQUATION FOR 3D VOLUME RECONSTRUCTION FROM TWO PLANAR CROSS SECTIONS

  • Lee, Seunggyu;Choi, Yongho;Lee, Doyoon;Jo, Hong-Kwon;Lee, Seunghyun;Myung, Sunghyun;Kim, Junseok
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.19 no.1
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    • pp.47-56
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    • 2015
  • In this paper, we present an implicit method for reconstructing a 3D solid model from two 2D cross section images. The proposed method is based on the Cahn-Hilliard model for the image inpainting. Image inpainting is the process of reconstructing lost parts of images based on information from neighboring areas. We treat the empty region between the two cross sections as inpainting region and use two cross sections as neighboring information. We initialize the empty region by the linear interpolation. We perform numerical experiments demonstrating that our proposed method can generate a smooth 3D solid model from two cross section data.

Influence of Progressive Consolidation on Consolidation Behavior of Normally Consolidated Clayey Soil with Vertical Drains (연직배수재가 설치된 정규압밀 점성토 지반의 점진적 압밀이 차후 압밀거동에 미치는 영향)

  • Yune Chan-Young;Chung Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.21 no.6
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    • pp.5-18
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    • 2005
  • In this study, the influence of progressive consolidation from the drainage boundary on the subsequent process of consolidation was investigated. Analytical theory and numerical program f3r consolidation of clayey soil were developed based on finite difference method, in which spatial variation of permeability and volume compressibility were implemented. And model ground with normally consolidated clayey soils and a vertical drain at its center were simulated. Various types of soils with different relations between coefficient of volume compressibility and permeability and void ratio were applied. Also numerical simulations based on the properties of the normally consolidated clay at Nakdong River basin and reconstituted kaolinite soil were performed to recognize its practical impact. Consequently, it is found out that retardation of consolidation induced by progressive consolidation is very important to understand consolidation behavior on field conditions and its effect is remarkable at the initial state of consolidation, and increases with plasticity index and applied load.

Automation of Feature Modeling for HDD Fluid Dynamic Bearing Design (HDD용 유체베어링 설계를 위한 형상 모델링의 자동화)

  • Lee, Nam-Hun;Kwon, Jeong-Min;Koo, J.C.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.2 s.95
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    • pp.148-155
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    • 2005
  • As functional requirement of massive digital information storage devices are on a trend for the higher data transfer rate and lower cost, many different technical efforts are being tested and implemented in the industry. FDB(fluid dynamic bearing) is one of the major breakthroughs in rotor design in terms of TMR(track misregistration) budget. Although FDB analysis based on Reynolds' equation is well established and popularly being used for FDB design especially for the estimation of bearing stiffness, there are obvious limitations in the approach due to the inherent assumptions. A generalized analysis tool employing the full Navier-Stokes equation and the energy balance is to be beneficial for detailed FDB design. In this publication, an efficient geometry modeling method is presented that provides fully integrated inputs for general FVM/FDM(finite volume method/ finite difference method) codes. By virtue of the flexibility of the presented method, many different detailed FDB design and analysis are carried over with ease.

An Improvement of the Field Uniformity inside the Reverberation Chamber with Inclined QRD Set (경사진 QRD를 이용한 전자파 잔향실 내 전자기장 균일도 향상을 위한 연구)

  • Lee, Byoung-Jun;Kim, Hye-Kwang;Rhee, Joong-Geun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.6 s.121
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    • pp.577-583
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    • 2007
  • The field uniformity inside the reverberation chamber has been improved using sets of quadratic residue diffuser (QRD). The electromagnetic field inside the reverberation chamber with the dimension of $100{\times}80{\times}80cm$ has been analyzed by the finite-difference time-domain(FDTD) method. The calculated fields in a $40{\times}30{\times}30cm$ test volume have been sampled to obtain a standard deviation and field uniformity. Results show that the standard deviation of the calculated field and uniformity have been improved by varying angles and orientation of the inclined surfaces of the QRDs installed inside the reverberation chamber.

A numerical simulation on the effect of hole geometry for film cooling flow (홀 형상이 막 냉각 유동에 미치는 효과에 대한 수치 해석적 연구)

  • Lee, Jeong-Hui;Choe, Yeong-Gi
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.7
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    • pp.849-861
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    • 1997
  • In this study, the effect of hole geometry of the cooling system on the flow and temperature field was numerically calculated. The finite volume method was employed to discretize the governing equation based on the non-orthogonal coordinate with non-staggered variable arrangement. The standard k-.epsilon. turbulence model was used and also the predicted results were compared with the experimental data to validate numerical modeling. The predicted results showed good agreement in all cases. To analyze the effect of the discharge coefficient for slots of different length to width, the inlet chamfering and radiusing holes were considered. The discharge coefficient was increased with increment of the chamfering ratio, radiusing ratio and slot length to width and also the effect of radiusing showed better result than chamfering in all cases. In order to analyze the difference between the predicted results with plenum region and without plenum region, the velocity profiles of jet exit region for a various flow conditions were calculated. The normal velocity components of jet exit showed big difference for the low slot length to width and high blowing rate cases. To analyze the flow phenomena injected from a row of inclined holes in a real turbine blade, three dimensional flow and temperature distribution of the region including plenum, hole and cross stream with flow conditions were numerically calculated. The results have shown three-dimensional flow characteristics, such as the development of counter rotating vortices, jetting effect and low momentum region within the hole in addition to counter rotating vortex structure in the cross stream.

Shape Design Optimization of Fluid-Structure Interaction Problems (유체-구조 연성 문제의 형상 최적설계)

  • Ha, Yoon-Do;Kim, Min-Geun;Cho, Hyun-Gyu;Cho, Seon-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.2 s.152
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    • pp.130-138
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    • 2007
  • A coupled variational equation for fluid-structure interaction (FSI) problems is derived from a steady state Navier-Stokes equation for incompressible Newtonian fluid and an equilibrium equation for geometrically nonlinear structures. For a fully coupled FSI formulation, between fluid and structures, a traction continuity condition is considered at interfaces where a no-slip condition is imposed. Under total Lagrange formulation in the structural domain, finite rotations are well described by using the second Piola-Kirchhoff stress and Green-Lagrange strain tensors. An adjoint shape design sensitivity analysis (DSA) method based on material derivative approach is applied to the FSI problem to develop a shape design optimization method. Demonstrating some numerical examples, the accuracy and efficiency of the developed DSA method is verified in comparison with finite difference sensitivity. Also, for the FSI problems, a shape design optimization is performed to obtain a maximal stiffness structure satisfying an allowable volume constraint.

Hybrid RANS and Potential Based Numerical Simulation for Self-Propulsion Performances of the Practical Container Ship

  • Kim, Jin;Kim, Kwang-Soo;Kim, Gun-Do;Park, Il-Ryong;Van, Suak-Ho
    • Journal of Ship and Ocean Technology
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    • v.10 no.4
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    • pp.1-11
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    • 2006
  • The finite volume based multi-block RANS code, WAVIS developed at MOERI is applied to the numerical self-propulsion test. WAVIS uses the cell-centered finite volume method for discretization of the governing equations. The realizable $k-{\epsilon}$ turbulence model with a wall function is employed for the turbulence closure. The free surface is captured with the two-phase level set method and body forces are used to model the effects of a propeller without resolving the detail blade flow. The propeller forces are obtained using an unsteady lifting surface method based on potential flow theory. The numerical procedure followed the self-propulsion model experiment based on the 1978 ITTC performance prediction method. The self-propulsion point is obtained iteratively through balancing the propeller thrust, the ship hull resistance and towing force that is correction for Reynolds number difference between the model and full scale. The unsteady lifting surface code is also iterated until the propeller induced velocity is converged in order to obtain the propeller force. The self-propulsion characteristics such as thrust deduction, wake fraction, propeller efficiency, and hull efficiency are compared with the experimental data of the practical container ship. The present paper shows that hybrid RANS and potential flow based numerical method is promising to predict the self-propulsion parameters of practical ships as a useful tool for the hull form and propeller design.