• Title/Summary/Keyword: curvilinear

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Numerical Simulation of the Aluminum Alloys Solidification in Complex Geometries

  • Monteiro Eliseu;Rouboa Abel
    • Journal of Mechanical Science and Technology
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    • v.19 no.9
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    • pp.1773-1780
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    • 2005
  • The process of mould design in the foundry industry has been based on the intuition and experience of foundry engineers and designers. To bring the industry to a more scientific basis the design process should be integrated with scientific analysis such as heat transfer. The production by foundry techniques is influenced by the geometry configuration, which affects the solidification conditions and subsequent cooling. Numerical simulation and/or experiments make possible the selection of adequate materials, reducing cycle times and minimizing production costs. The main propose of this work is to study the heat transfer phenomena in the mould considering the phase change of the cast-part. Due to complex geometry of the mould, a block unstructured grid and a generalized curvilinear formulation engaged with the finite volume method is described and applied. Two types of boundary conditions, diffusive and Newtonian, are used and compared. The developed numerical code is tested in real case and the main results are compared with experimental data. The results showed that the solidification time is about 6 seconds for diffusive boundary conditions and 14.8 seconds for Newtonian boundary conditions. The use of the block unstructured grid in combination with a generalized curvilinear formulation works well with the finite volume method and allows the development of more efficient algorithms with better capacity to describe the part contours through a lesser number of elements.

An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1950-1963
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    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

Analysis of 2-Dimensional Shallow Water Equations Using Multigrid Method and Coordinate Transformation

  • Lee, Jong-Seol;Cho, Won-Cheol
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • v.26 no.1
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    • pp.1-14
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    • 1998
  • Various numerical methods for the two dimensional shallow water equations have been applied to the problems of flood routing, tidal circulation, storm surges, and atmospheric circulation. These methods are often based on the Alternating Direction Implicity(ADI) method. However, the ADI method results in inaccuracies for large time steps when dealing with a complex geometry or bathymetry. Since this method reduces the performance considerably, a fully implicit method developed by Wilders et al. (1998) is used to improve the accuracy for a large time step. Finite Difference Methods are defined on a rectangular grid. Two drawbacks of this type of grid are that grid refinement is not possibile locally and that the physical boundary is sometimes poorly represented by the numerical model boundary. Because of the second deficiency several purely numerical boundary effects can be involved. A boundary fitted curvilinear coordinate transformation is used to reduce these difficulties. It the curvilinear coordinate transformation is used to reduce these difficulties. If the coordinate transformation is orthogonal then the transformed shallow water equations are similar to the original equations. Therefore, an orthogonal coorinate transformation is used for defining coordinate system. A multigrid (MG) method is widely used to accelerate the convergence in the numerical methods. In this study, a technique using a MG method is proposed to reduce the computing time and to improve the accuracy for the orthogonal to reduce the computing time and to improve the accuracy for the orthogonal grid generation and the solutions of the shallow water equations.

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The Contrasting Attitudes of Reviewer and Seller in Electronic Word-of-Mouth: A Communicative Action Theory Perspective

  • Lee, Jung;Lee, Jae-Nam;Tan, Bernard C.Y.
    • Asia pacific journal of information systems
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    • v.23 no.3
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    • pp.105-129
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    • 2013
  • This study draws important factors in electronic Word-of-Mouth (eWOM) and examines how these influence the building of customer loyalty. eWOM is viewed as social communication between customers and sellers, and thus the communicative action theory is applied. With the theory, we identify reviewer and seller as influential players on customers, and derive important factors such as correctness and veracity of reviews from the reviewers' action, and information compactness and adequacy from the seller's action. We propose these constructs as antecedents of customer loyalty and further hypothesize their curvilinear impacts as follows: the marginal impacts of veracity and correctness will decrease as veracity and correctness increase, and the marginal impacts of compactness and adequacy will increase as compactness and adequacy increase. The result indicates that only the seller's action has a curvilinear impact, whereas the reviewer has proportional positive impact on customer loyalty. This study indentifies important factors in eWOM from a critical social theory perspective and validates them using the positivistic approach. For practitioners, it discusses the important factors in eWOM with the identification of the individuals who are responsible for these factors.

Simulation of Three-Dimensional Turbulent Flows around an Ahmed Body-Evaluation of Finite Differencing Schemes- (Ahmed body 주위의 3차원 난류유동 해석-유한차분도식의 평가-)

  • Myeong, Hyeon-Guk;Park, Hui-Gyeong;Jin, Eun-Ju
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.11
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    • pp.3589-3597
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    • 1996
  • The Reynolds-averaged Navier-Stokes equations with the equations of the k-.epsilon. turbulence model are solved numerically in a general curvilinear system for a three-dimensional turbulent flow around an Ahmed body. The simulation is especially aimed at the evaluation of three finite differencing schemes for the convection term, which include the upwind differencing scheme(UDS), the second order upwind differencing scheme(SOU scheme) and the QUICK scheme. The drag coefficient, the velocity and pressure fields are found to be changed considerably with the adopted finite differencing schemes. It is clearly demonstrated that the large difference between computation and experiment in the drag coefficient is due to relatively high predicted values of pressure drag from both front part and vertical rear end base. The results also show that the simulation with the QUICK or SOU scheme predicts fairly well the flow field and gives more accurate drag coefficient than other finite differencing scheme.

Three-dimensional Turbulent Flow Analysis in Curved Piping Systems Susceptible to Flow-Accelerated Corrosion (유동가속부식이 잠재한 곡관내의 3차원 난류유동 해석)

  • Jo, Jong-Chull;Kim, Yun-Il;Choi, Seok-Ki
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.900-907
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    • 2000
  • The three-dimensional turbulent flow in curved pipes susceptible to flow-accelerated corrosion has been analyzed numerically to predict the pressure and shear stress distributions on the inner surface of the pipes. The analysis employs the body-fitted non-orthogonal curvilinear coordinate system and a standard $ {\kappa}-{\varepsilon}$ turbulence model with wall function method. The finite volume method is used to discretize the governing equations. The convection term is approximated by a high-resolution and bounded discretization scheme. The cell-centered, non-staggered grid arrangement is adopted and the resulting checkerboard pressure oscillation is prevented by the application of a modified version of momentum interpolation scheme. The SIMPLE algorithm is employed for the pressure and velocity coupling. The numerical calculations have been performed for two curved pipes with different bend angles and curvature radii, and discussions have been made on the distributions of the primary and secondary flow velocities, pressure and shear stress on the inner surface of the pipe to examine applicability of the present analysis method. As the result it is seen that the method is effective to predict the susceptible systems or their local areas where the fluid velocity or local turbulence is so high that the structural integrity can be threatened by wall thinning degradation due to flow-accelerated corrosion.

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Effects of Dietary Supplemental Folic Acid and Choline on the Performance of Starting Broiler Chicks (육계 전기 사료에 엽산과 콜린의 첨가 수준이 육계의 생산성에 미치는 영향)

  • 류경선;최호성;박강희;신원집
    • Korean Journal of Poultry Science
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    • v.22 no.4
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    • pp.213-221
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    • 1995
  • Five experiments were conducted to evaluate the effect of dietary supplemental folic acid(FA) in starting broiler chicks. In the first two experiments, basal diets based on corn and soybean meal contained 0.6 mg/kg FA but no supplemental methionine or choline. At 18 d of age, chicks showed curvilinear responses to folic acid supplementation with maximum growth and feed efficiencies at 1.45 mg/kg FA diet. The liver FA response was also curvilinear but reached a plateau at 1.70 mg/kg FA diet. The basal diet for 3 additional experiments contained soybean meal that had been washed with methanol to remove most of the choline. The diet contained only 0.6 mg /kg folic acid and 754 mg /kg choline. Chicks exhibited a larger growth response to folic acid at low choline levels as evidenced by a significant FA x choline interaction. FA supplementation increased but then decreased valgus leg deformity. Choline supplementation also decreased the incidences of valgus and varus leg deformities and decreased bone ash and increased the incidence of tibial dyschondroplasia. It is concluded that chicks fed diets based on practical ingredients require from 1.45 to 1.70 mg /kg FA diet and also 1.60 mg/kg FA when choline is offered near the NRC recommended level of 1,300 mg/kg.

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A ROENTGENOGRAPHIC STUDY OF NORMAL PAROTID GLANDS USING ISOBARIC SIALOGRAPHY (등압타액선조영촬영법을 이용한 정상성인의 이하선에 관한 연구)

  • Ahn Hee Moon;Lee Sang Rae
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.20 no.1
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    • pp.91-102
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    • 1990
  • The aim of this study was to establish the diagnostic criteria of normal parotid glands in adults revealing the anatomical shape, its variations and the postitional relationships of the gland. Materials included 96 lateral and anterior-posterior sialograms of selected person from 23 to 28 years of age. Results were as follows: 1. The average length and lateral displacement of main duct was 48.43㎜ and l6.88㎜. The mean lumen diameter of that was 0.91㎜ in distal end and 1.40㎜ in hilar end in parotid glands. 2. The average angle of main duct to the inferior border of mandib was 34.32 degree. In configurations of main duct, modified curvilinear type was. most prevalent and followed by curvilinear, reverse sigmoid, sigmoid type. 3. The mean caliber of parotid gland was the longest in superior-inferior. 4. The interlobar ducts showed relatively well defined in all cases, its average number was 5.72. Arrangement of these ducts showed at random. Accessory lobe showed 87.5% in the all cases, its average number was 1.7. 5. There were no difference between the well and poorly defined acinar fillings in the glandular parenchyme. 6. There were no differences between right and left parotid glands in size and shape of main duct and parenchymal portion, but there were great variations in each individuals.

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Pitch trajectories of English vowels produced by American men, women, and children

  • Yang, Byunggon
    • Phonetics and Speech Sciences
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    • v.10 no.4
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    • pp.31-37
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    • 2018
  • Pitch trajectories reflect a continuous variation of vocal fold movements over time. This study examined the pitch trajectories of English vowels produced by 139 American English speakers, statistically analyzing their trajectories using the Generalized Additive Mixed Models (GAMMs). First, Praat was used to read the sound data of Hillenbrand et al. (1995). A pitch analysis script was then prepared, and six pitch values at the corresponding time points within each vowel segment were collected and checked. The results showed that the group of men produced the lowest pitch trajectories, followed by the groups of women, boys, then girls. The density line showed a bimodal distribution. The pitch values at the six corresponding time points formed a single dip, which changed gradually across the vowel segment from 204 to 193 to 196 Hz. The normality tests performed on the pitch data rejected the null hypothesis. Nonparametric tests were therefore conducted to discover the significant differences in the values among the four groups. The GAMMs, which analyzed all the pitch data, produced significant results among the pitch values at the six corresponding time points but not between the two groups of boys and girls. The GAMMs also revealed that the two groups were significantly different only at the first and second time points. Accordingly, the methodology of this study and its findings may be applicable to future studies comparing curvilinear data sets elicited by experimental conditions.

Isogeometric Shape Sensitivity Analysis in Generalized Curvilinear Coordinate Systems (일반 곡면 좌표계에서 구현된 아이소-지오메트릭 형상 설계민감도 해석)

  • Ha, Youn Doh;Yoon, Minho;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.497-504
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    • 2012
  • Finite element analysis is to approximate a geometry model developed in computer-aided design(CAD) to a finite element model, thus the conventional shape design sensitivity analysis and optimization using the finite element method have some difficulties in the parameterization of geometry. However, isogeometric analysis is to build a geometry model and directly use the functions describing the geometry in analysis. Therefore, the geometric properties can be embedded in the NURBS basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. In this study, the isogeometric structural analysis and shape design sensitivity analysis in the generalized curvilinear coordinate(GCC) systems are discussed for the curved geometry. Representing the higher order geometric information, such as normal, tangent and curvature, yields the isogeometric approach to be the best way for generating exact GCC systems from a given CAD geometry. The developed GCC isogeometric structural analysis and shape design sensitivity analysis are verified to show better accuracy and faster convergency by comparing with the results obtained from the conventional isogeometric method.