• 제목/요약/키워드: Diffusion models

검색결과 601건 처리시간 0.023초

DEVELOPMENT OF A NEW ION TRANSPORT CODE FOR PLANETARY IONOSPHERES WITH EXPLICIT TREATMENT OF ION-ION COLLISION

  • KIM YONG HA
    • 천문학회지
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    • 제38권2호
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    • pp.59-66
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    • 2005
  • A new ion transport code for planetary ionospheric studies has been developed with consideration of velocity differences among ion species involving ion-ion collision. Most of previous planetary ionosphere models assumed that ions diffuse through non-moving ion and neutral background in order to consolidate continuity and momentum equations for ions into a simple set of diffusion equations. The simplification may result in unreliable density profiles of ions at high altitudes where ion velocities are fast and their velocity differences are significant enough to cause inaccuracy when computing ion-ion collision. A new code solves explicitly one-dimensional continuity and momentum equations for ion densities and velocities by utilizing divided Jacobian matrices in matrix inversion necessary to the Newton iteration procedure. The code has been applied to Martian nightside ionosphere models, as an example computation. The computed density profiles of $O^+,\;OH^+$, and $HCO^+$ differ by more than a factor of 2 at altitudes higher than 200 km from a simple diffusion model, whereas the density profile of the dominant ion, $O_2^+$, changes little. Especially, the density profile of $HCO^+$ is reduced by a factor of about 10 and its peak altitude is lowered by about 40 km relative to a simple diffusion model in which $HCO^+$ ions are assumed to diffuse through non-moving ion background, $O_2^+$. The computed effects of the new code on the Martian nightside models are explained readily in terms of ion velocities that were solved together with ion densities, which were not available from diffusion models. The new code should thus be expected as a significantly improved tool for planetary ionosphere modelling.

지식 전파에 있어 네트워크 구조와 지식 탐색의 상호작용 (Interaction Effect of Network Structure and Knowledge Search on Knowledge Diffusion)

  • 박철순
    • 경영과학
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    • 제32권4호
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    • pp.81-96
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    • 2015
  • This paper models knowledge diffusion on an inter-organizational network. Based on literatures related to knowledge diffusion, the model considers critical factors that affect diffusion behavior including nodal property, relational property, and environmental property. We examine the relationships among network structure, knowledge search, and diffusion performance. Through a massive simulation runs based on the agent-based model, we find that the average path length of a network decreases a firm's cumulative knowledge stock, whereas the clustering coefficient of a firm has no significant relationship with the firm's knowledge. We also find that there is an interaction effect of network structure and the range of knowledge search on knowledge diffusion. Specifically, in a network of a larger average path length (APL) the marginal effect of search conduct is significantly greater than in that of a smaller APL.

FLUORESCENCE QUENCHING OF BBOT BY ANILINE IN DIFFERENT ORGANIC SOLVENTS

  • Kadadevarmath, J.S.;Giraddi, T.P.;Chikkur, G.C.
    • Journal of Photoscience
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    • 제4권3호
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    • pp.105-112
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    • 1997
  • The fluorescence quenching of 2, 5-di-(5-tert-butyl-2-benzoxazolyl)-thiophene (BBOT) by aniline in five different solvents namely heptane, hexane, cyclohexane, dioxane and acetonitrile has been carried out at room temperature with a view to understand the quenching mechanisms. The experimental results show positive deviation in the Stern-Volmer plots in all the solvents. In order to interpret these results we have invoked the Ground state complex and sphere of action static quenching models. Using these models various rate parameters have been determined. The magnitudes of these parameters suggest that sphere of action static quenching model agrees well with the experimental results. Hence this positive deviation is attributed to the static and dynamic quenching. Further, with the use of Finite Sink approximation model, it was possible to check these bimolecular reactions as diffusion-limited and to estimate independently distance parameter R$^1$ and mutual diffusion coefficient D. Finally an attempt has been made to correlate the values of R$^1$ and D with the values of the encounter distance R and the mutual diffusion coefficient D determined using the Edward's empirical relation and Stokes-Einstein relation.

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염소이온에 의한 철근부식에 관한 콘크리트 구조물의 내구년한 예측을 위한 수학적 모델 (Mathematical Models for Predicting Service Lives of Concrete Structures on Chloride Induced Corrosion of Steel Reinfrocement)

  • 오병환;정원기;강승희;장승엽
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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    • pp.201-206
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    • 1996
  • Recently, to utilize conutry effectively, many concrete structures such as Young Jong Do New Airport. SeoHae Bridege are being constructed. Therefore, Corrosion of steel reinforcement of concrete structures become more and more serious, and prediction of service lives of concrete structures considering steel corrosion is needed much more. The methodologies of predicting service life have been studied for various views, but mathematical modelling based on diffusion theory is generally applied. The purpose of this paper is to investigate current mathematical models, and suggest theoretical basis on estimation of service lives of concrete structures in marine environment. Thus, the procedures for selecting variables such as threshold chloride concentration, diffusion coefficient, etc are suggested, and the service lives calculated through these procedures for various diffusion coefficients and cover depths are presented.

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IMEX METHODS FOR PRICING FIXED STRIKE ASIAN OPTIONS WITH JUMP-DIFFUSION MODELS

  • Lee, Sunju;Lee, Younhee
    • East Asian mathematical journal
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    • 제35권1호
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    • pp.59-66
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    • 2019
  • In this paper we study implicit-explicit (IMEX) methods combined with a semi-Lagrangian scheme to evaluate the prices of fixed strike arithmetic Asian options under jump-diffusion models. An Asian option is described by a two-dimensional partial integro-differential equation (PIDE) that has no diffusion term in the arithmetic average direction. The IMEX methods with the semi-Lagrangian scheme to solve the PIDE are discretized along characteristic curves and performed without any fixed point iteration techniques at each time step. We implement numerical simulations for the prices of a European fixed strike arithmetic Asian put option under the Merton model to demonstrate the second-order convergence rate.

와확산 및 혼합층 모델을 이용한 성층화 호수 해석 (Analysis of Stratified Lake using an Eddy Diffusion and a Mixed-Layer Models)

  • 김경섭
    • 물과 미래
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    • 제29권5호
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    • pp.235-244
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    • 1996
  • 호수에서의 수직온도분포를 모의하기 위하여, 수리학적 특성 즉 유속분포가 필요없는 일차원 와확산모델 및 혼합층모델이 개발, 적용되었으며 각 모델의 결과가 비교, 검토되었다. 전자는 지배방정식 유도시 분자확산을 모델적용시 년간 수면변화를 무시했으며, 후자는 간단한 해석을 위하여 일정한 층의 두께를 가정하였다. 호수표면과 바닥에서의 온도경계조건이 각각 열 에너지의 이동에 의해서 결정되도록 하는 와확산모델은 explicit 유한차분법을, 두층을 이용하는 혼합층모델은 Runge-Kutta 방법을 사용하였다. 측정된 데이타와 와확산모델 및 혼합층모델의 계산치와 비교해본 결과, 만족한 결과를 도출하였다. 따라서, 호수관리의 수단으로 이 모델들을 유용하게 이용할 수 있을 것으로 사료된다.

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Prediction of RC structure service life from field long term chloride diffusion

  • Safehian, Majid;Ramezanianpour, Ali Akbar
    • Computers and Concrete
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    • 제15권4호
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    • pp.589-606
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    • 2015
  • It is well-documented that the major deterioration of coastal RC structures is chloride-induced corrosion. Therefore, regional investigations are necessary for durability based design and evaluation of the proposed service life prdiction models. In this paper, four reinforced concrete jetties exposed to severe marine environment were monitored to assess the long term chloride penetration at 6 months to 96 months. Also, some accelerated durability tests were performed on standard samples in laboratory. As a result, two time-dependent equations are proposed for basic parameters of chloride diffusion into concrete and then the corrosion initiation time is estimated by a developed probabilistic service life model Also, two famous service life prediction models are compared using chloride profiles obtained from structures after about 40 years in the tidal exposure conditions. The results confirm that the influence of concrete quality on diffusion coefficients is related to the concrete pore structure and the time dependence is due to chemical reactions of sea water ions with hydration products which lead a reduction in pore structure. Also, proper attention to the durability properties of concrete may extend the service life of marine structures greater than fifty years, even in harsh environments.

How Supernovae Ejecta Is Transported In A Galaxy: DependenceOn Hydrodynamic Schemes In Numerical Simulations

  • Shin, Eun-jin;Kim, Ji-hoon
    • 천문학회보
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    • 제44권2호
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    • pp.48.4-48.4
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    • 2019
  • We studied the metal-distribution of isolated Milky-way mass galaxy using various hydrodynamic solvers and investigated the difference of the result between AMR and SPH codes. In particle-based codes, physical quantities like mass or metallicity defined in each particle are conserved unless being injected explicitly by the effect of the supernova, whereas in the Eulerian codes the diffusion is simply accomplished by hydro-equation. Therefore, without including explicit physics of diffusion on the SPH- codes, the metal mixing in the galaxy or CGM only can be accomplished by the direct motion of the particles, however, the standard-SPH codes depress the instability of the turbulent fluid mixing. In this work, we simulated under common initial conditions, common gas-physics like cooling-heating models, and star-formation feedback using ENZO(AMR) GIZMO and GADGET-2 codes. We additionally included a metal-diffusion algorithm on the SPH-codes, which follows the subgrid-turbulent mixing model investigated by Shen et al. (2010) and compared the effect of the metal-outflow on the halo region of the galaxy in different hydro-solvers. We also found that for the implementation of the diffusion scheme in the SPH-codes, the existence of a sufficient number of the gas-particles, which is the carrier of the metals, is necessary. So we tested a new initial condition for proper implementation of the diffusion scheme on the SPH simulations. By comparing the metal-contamination of the circumgalactic medium with different hydrodynamics models, we quantify the diffusion strength of AMR codes using diffusion parameterization of the SPH codes and also suggest the calibration solutions in the different behavior of codes in metal-outflow.

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확산과 Power- law 크립을 고려한 압분체 열간정수압압축 공정의 해석 (Analysis of Hot Isostatic Pressing of Powder Compacts Considering Diffusion and Power-Law Creep)

  • 서민홍;김형섭
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.66-69
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    • 2000
  • In order to analyze the densification behaviour of stainless steel powder compacts during hot isostatic pressing (HIP) at elevated temperatures, a power-law creep constitutive model based on the plastic deformation theory for porous materials was applied to the densification. Various densification mechanisms including interparticle boundary diffusion, grain boundary diffusion and lattice diffusion mechanisms were incorporated in the constitutive model, as well. The power-law creep model in conjunction with various diffusion models was applied to the HIP process of 316L stainless steel powder compacts under 50 and 100 MPa at 1125 $!`\acute{\dot{E}}$. The results of the calculations were verified using literature data It could be found that the contribution of the diffusional mechanisms is not significant under the current process conditions.

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A Review of Corrosion and Hydrogen Diffusion Behaviors of High Strength Pipe Steel in Sour Environment

  • Kim, Sung Jin;Kim, Kyoo Young
    • Journal of Welding and Joining
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    • 제32권5호
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    • pp.13-20
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    • 2014
  • A brief overview is given of the corrosion and hydrogen diffusion behaviors of high strength pipe steel in sour environment. Firstly, hydrogen adsorption and diffusion mechanism of the pipe steel is introduced. Secondly, the effect of iron sulfide film precipitated as a result of the corrosion reaction on the steel surface on hydrogen reduction reaction and subsequent hydrogen permeation through the steel is discussed. Moreover, the hydrogen diffusion behavior of the pipe steel under tensile stress in both elastic and plastic ranges is reviewed based on a number of experimental permeation data and theoretical models describing the hydrogen diffusion and trapping phenomena in the steel. It is hoped that this paper will result in significant academic contributions in the field of corrosion and hydrogen related problems of the pipe steel used in sour environment.