• Title/Summary/Keyword: SOR

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CONVERGENCE OF RELAXED TWO-STAGE MULTISPLITTING METHOD USING AN OUTER SPLITTING

  • Yun, Jae-Heon
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.727-741
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    • 2010
  • In this paper, we study the convergence of relaxed two-stage multisplitting method using H-compatible splittings or SOR multisplitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an H-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.

A Study on the Fluid Flow Around an Oscillating Circular Cylinder (진동하는 원주 주위의 유체 유동에 관한 연구)

  • Suh, Yong-Kweon;Mun, Jong-Chun
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.73-84
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    • 1990
  • A circular cylinder is oscillated in th otherwise quiescent viscous fluid. Numerical analysis performed for this problem by using the fourth-order Runge-kutta method for the unsteady Navier-stokes equations. For K(Kelegan-Carpenter's No.)=5, the flow developed symmetrically, while for K=10, it revealed random patterns. The coefficient of the rms force is overestimated by 20-30% compared with the experimental result.

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CONVERGENCE OF SSOR MULTISPLITTING METHOD FOR AN M-MATRIX

  • Yun, Jae-Heon;Han, Yu-Du;Oh, Se-Young
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.273-282
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    • 2007
  • In this paper, we study the convergence of both the multisplitting method and the relaxed multisplitting method associated with SOR or SSOR multisplittings for solving a linear system whose coefficient matrix is an M-matrix.

Nonlinear rheology of polymer melts: a new perspective on finite chain extensibility effects

  • Wagner Manfred H.
    • Korea-Australia Rheology Journal
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    • v.18 no.4
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    • pp.199-207
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    • 2006
  • Measurements by Luap et al. (2005) of elongational viscosity and birefringence of two nearly monodisperse polystyrene melts with molar masses $M_{w}$ of $206,000g{\cdot}mol^{-1}$ (PS206k) and $465,000g{\cdot}mol^{-1}$ (PS465k) respectively are reconsidered. At higher elongational stresses, the samples showed clearly deviations from the stress optical rule (SOR). The elongational viscosity data of both melts can be modeled quantitatively by the MSF model of Wagner et al. (2005), which is based on the assumption of a strain-dependent tube diameter and the interchain pressure term of Marrucci and Ianniruberto (2004). The only nonlinear parameter of the model, the tube diameter relaxation time, scales with $M_{w}^{2}$. In order to get agreement with the birefringence data, finite chain extensibility effects are taken into account by use of the $Pad\'{e}$ approximation of the inverse Langevin function, and the interchain pressure term is modified accordingly. Due to a selfregulating limitation of chain stretch by the FENE interchain pressure term, the transient elongational viscosity shows a small dependence on finite extensibility only, while the predicted steady-state elongational viscosity is not affected by non-Gaussian effects in agreement with experimental evidence. However, deviations from the SOR are described quantitatively by the MSF model by taking into account finite chain extensibility, and within the experimental window investigated, deviations from the SOR are predicted to be strain rate, temperature, and molar mass independent for the two nearly monodisperse polystyrene melts in good agreement with experimental data.

A Study on the Moderating Factors of the Relationship between Artwork Color Series and Visitor Satisfaction in Commercial Spaces (상업공간에서 미술품 색 계열과 방문객 만족도 관계의 조절요인에 관한 연구)

  • Wang, YeunJu;Lee, SeungHyun;Bae, JiHye;Kim, SunYoung
    • Korean Association of Arts Management
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    • no.58
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    • pp.121-152
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    • 2021
  • This study attempted to analyze the effect of the color series of artworks installed as environmental stimuli in commercial spaces on the satisfaction of visitors and the moderating effect of the relationship. To this end, based on the SOR model of Stimulate-Organism-Response applied to burial environment research in the field of environmental psychology, and the preceding research using the SOR model, artwork color series(S)-mood and spaace amenity(O)-A research framework for satisfaction(R) was developed. In the experiment, an online questionnaire was conducted for domestic college students and graduate students by producing images with two conditions depending on the case where warm colors and cold colors were installed for the color series of artworks. As a result of verifying the difference in satisfaction of respondents corresponding to the two conditions through regression analysis, it was found that the warm color(vs. cold color) of the artwork color series induces higher visitor satisfaction. In addition, as a result of verifying the controlling factors of mood and space amenity variables in this relationship of influence, a significant moderating effect was found when the positive mood of warm colors(vs. cold colors) in the artwork color series was felt higher than the average. And, of the four types of space amenity, it was found that a significant moderating effect appeared when only comfort and aesthetics were measured as moderating variables. The result of this study proves that the warm color series of artworks that stimulate the physical environment of commercial spaces has a more positive effect on the satisfaction of visitors than the cold color series, and this is reinforced by positive mood, comfort, and aesthetics. It adds understanding and provides useful implications for marketing strategies for building an effective spatial image.

A study of the lipoprotein lipase inhibitory mechanism of Poncirus trifoliata water extracts (탱자 (Poncirus trifoliata)의 lipoprotein lipase 억제메커니즘)

  • Lee, Sung Mee;Kang, Yun Hwan;Kim, Kyoung Kon;Kim, Tae Woo;Choe, Myeon
    • Journal of Nutrition and Health
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    • v.48 no.1
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    • pp.9-18
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    • 2015
  • Purpose: Poncirus trifoliata has been reported to have anti-inflammatory, antioxidant, and immune activities. However, its anti-obesity activity and the mechanism by which the water extract of dried, immature fruit of Poncirus trifoliata (PF-W) acts are not clear. This study suggests a potential mechanism associated with the anti-obesity activity of PF-W. Methods: We measured the effect of PF-W on lipoprotein lipase (LPL) regulation using enzyme-linked immunosorbent assay (ELISA) and an activity assay. The LPL regulation mechanism was examined by reverse transcription polymerase chain reaction (RT-PCR) to measure the mRNA expression of biomarkers related to protein transport and by western blot for analysis of the protein expression of the transcription factor CCAAT-enhancer-binding protein ($C/EBP{\beta}$). Results: The total polyphenol and flavonoid content of PF-W was $52.15{\pm}4.02$ and $6.56{\pm}0.47mg/g$, respectively. PF-W treatment decreased LPL content in media to $58{\pm}5%$ of that in control adipocyte media, and increased LPL content to $117{\pm}3.5%$ of that in control adipocytes, but did not affect the mRNA expression of LPL. PF-W also increased the mRNA expression of sortilin-related receptor (SorLA), a receptor that induces endocytosis and intracellular trafficking of LPL, in a concentration- and time-dependent manner. Finally, cell fractionation revealed that PF-W treatment induced the expression of $C/EBP{\beta}$, a SorLA transcription factor, in the nuclei of 3T3-L1 adipocytes. Conclusion: The LPL secretion and activity assay showed PF-W to be an LPL secretion inhibitor, and these results suggest the potential mechanism of PF-W involving inhibition of LPL secretion through $C/EBP{\beta}$-mediated induction of SorLA expression.

Fuzzy Reasoning on Computational Fluid Dynamics - Feasibility of Fuzzy Control for Iterative Method - (CFD에로의 Fuzzy 추론 응용에 관한 연구 - 반복계산을 위한 퍼지제어의 유효성 -)

  • Lee, Y.W.;Jeong, Y.O.;Park, W.C.;Lee, D.H.;Bae, D.S.
    • Journal of Power System Engineering
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    • v.2 no.3
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    • pp.21-26
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    • 1998
  • Numerical simulations for various fluid flows require enormous computing time during iterations. In order to solve this problem, several techniques have been proposed. A SOR method is one of the effective methods for solving elliptic equations. However, it is very difficult to find the optimum relaxation factor, the value of this factor for practical problems used to be estimated on the basis of expertise. In this paper, the implication of the relaxation factor are translated into fuzzy control rules on the basis of the expertise of numerical analysers, and fuzzy controller incorporated into a numerical algorithm. From two cases of study, Poisson equation and cavity flow problem, we confirmed the possibility of computational acceleration with fuzzy logic and qualitative reasoning in numerical simulations. Numerical experiments with the fuzzy controller resulted in generating a good performance.

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A Study on the Fluid Flow Around an Oscillating Circular Cylinder (진동하는 원주 주위의 유체 유동에 관한 연구)

  • Suh, Yong-Kweon;Mun, Jong-Chun
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.223-223
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    • 1990
  • A circular cylinder is oscillated in th otherwise quiescent viscous fluid. Numerical analysis performed for this problem by using the fourth-order Runge-kutta method for the unsteady Navier-stokes equations. For K(Kelegan-Carpenter''s No.)=5, the flow developed symmetrically, while for K=10, it revealed random patterns. The coefficient of the rms force is overestimated by 20-30% compared with the experimental result.

Analysis of Three Dimensional Mold-Filling Process in Injection Molding (사출성형의 3차원 충전공정 해석)

  • Choi K. I.;Koo B. H.;Cha B. S.;Park H. P.;Rhee B. O.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.10a
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    • pp.269-272
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    • 2005
  • For the three decades, the mold-filling of injection molding process was modeled as Hele-Shaw model. However, this model can not consider the 3D effect. In this paper, numerical simulations of three dimensional mold-filling during the filling phase were performed. The governing equations were discretized by segregated finite element method, which used equal order interpolation for pressure and velocity fields. The iterative linear equation solver (JCG, SOR) was employed for the solution of the momentum and pressure equations. Volume of Fluid (VOF) was employed for the melt front advancement. To check the validity of the numerical results, the results were compared with the experimental ones. The agreements between the experiment and the numerical results were found to be satisfactory.

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