• Nuclear Engineering and Technology
• /
• v.49 no.6
• /
• pp.1301-1309
• /
• 2017

The extinction probability of a branching process (a neutron chain in a multiplying medium) is calculated for a system randomly varying in time. The evolution of the first two moments of such a process was calculated previously by the authors in a system randomly shifting between two states of different multiplication properties. The same model is used here for the investigation of the extinction probability. It is seen that the determination of the extinction probability is significantly more complicated than that of the moments, and it can only be achieved by pure numerical methods. The numerical results indicate that for systems fluctuating between two subcritical or two supercritical states, the extinction probability behaves as expected, but for systems fluctuating between a supercritical and a subcritical state, there is a crucial and unexpected deviation from the predicted behaviour. The results bear some significance not only for neutron chains in a multiplying medium, but also for the evolution of biological populations in a time-varying environment.

• Journal of the Korean Geographical Society
• /
• v.46 no.3
• /
• pp.331-350
• /
• 2011

Advances in computer technology enabled us to simulate the integrated effects of various geomorphic processes on landscape evolution. This review introduces a theoretical framework for 2-dimensional numerical landscape evolution models (NLEMs) which have recently been used for various research purposes. In particular much attention is paid to the approaches deployed to model major geomorphic processes on a geological time scale in previous research. NLEMs can simulate landscape evolution by numerically solving the partial differential equation which represents the relationship among the geomorphic system components (GSCs). Simple process specifications of the relationships among GSCs on a long-term time scale in terms of quantification and attempts to combine processes represent the initial research on NLEMs. Later researchers have taken these simple NLEMs and elaborated on them. Introducing the theories of NLEMs in this review is expected to help researchers trying to utilize or develop NLEMs.

• 한국전산유체공학회:학술대회논문집
• /
• 2009.11a
• /
• pp.1-1
• /
• 2009

In this presentation, I talk about various fluid simulation methods that have been developed for computer graphics special effects since 1996. They are all based on CFD but sacrifice physical reality for visual plausability and time. But as the speed of computer increases rapidly and the capability of GPU (graphics processing unit) improves, methods for more physical realism have been tried. In this talk, I will focus on four aspects of fluid simulation methods for computer graphics: (1) particle level-set methods, (2) particle-based simulation, (3) methods for exact satisfaction of incompressibility constraint, and (4) GPU-based simulation. (1) Particle level-set methods evolve the surface of fluid by means of the zero-level set and a band of massless marker particles on both sides of it. The evolution of the zero-level set captures the surface in an approximate manner and the evolution of marker particles captures the fine details of the surface, and the zero-level set is modified based on the particle positions in each step of evolution. (2) Recently the particle-based Lagrangian approach to fluid simulation gains some popularity, because it automatically respects mass conservation and the difficulty of tracking the surface geometry has been somewhat addressed. (3) Until recently fluid simulation algorithm was dominated by approximate fractional step methods. They split the Navier-Stoke equation into two, so that the first one solves the equation without considering the incompressibility constraint and the second finds the pressure which satisfies the constraint. In this approach, the first step introduces error inevitably, producing numerical diffusion in solution. But recently exact fractional step methods without error have been developed by fluid mechanics scholars), and another method was introduced which satisfies the incompressibility constraint by formulating fluid in terms of vorticity field rather than velocity field (by computer graphics scholars). (4) Finally, I want to mention GPU implementation of fluid simulation, which takes advantage of the fact that discrete fluid equations can be solved in parallel.

• Magazine of the Korea Concrete Institute
• /
• v.7 no.6
• /
• pp.186-196
• /
• 1995

In this study, parameters such as unit cement weight and placing temperature which influence on temperature rise and temperature rise velocity are investigated through adiabatic tests for the domestic ordinary portland cement(0PC). Adiabatic temperature rise suggested by Korean Concrete Spec. are compared with that from this experimental results. As a result of this study, adiabatic temperature rise of OPC suggested spec. is overestimated. Also it is shown that 2-parameter equation suggested in the spec. overestimate heat evolution at early age and reasonable prediction of heat evolution can be obtained by using 3-parameter equation. Results of numerical analysis by using the input data from this test and the suggested values from spec. shows similar temperatures. However thermal stresses pridicted using input value from spec. may result 20% more than that from this test in case of externally restricted state.

• Human Ecology Research
• /
• v.51 no.4
• /
• pp.455-472
• /
• 2013

This paper's aim is to explore how China's country image affects the product evaluations and purchase intentions through three major hypothesize. Four hundred eighty-nine Korean adult consumers, who have the purchase experiences of goods made in China before, were invited to take part in this investigation. Data analyses were conducted by reliability test, confirmatory factor analysis and structural equation modeling with SPSS ver. 19.0 and AMOS ver. 18.0. This study focused on multi-dimensional country image and found that China's country image contains 5 elements (people, evolution, politic, economic and culture). Empirical verification through structural equation modeling indicates that the data offer substantial supports, such that China's country image represents the predominant influence on product evaluations and people, evolution, and politic image showed positive effects. Also, China's country image has a positive influence on the product purchase intentions directly (culture image) and indirectly (people, politics, and evolution image) through the product evaluations. Practical implications of findings will be discussed and suggested as follows. First, this study complements the lack of researches on China among the studies regarding country image. Secondly, research results would help us to understand the perception on China's country image of Korean consumers' and to seek the criteria by which consumers evaluate goods made in China. Finally, this research can help Chinese companies to make market strategies effectively when they entering Korean market by exploring the factors which have strong influences on Korean consumers' purchase behaviors.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.14 no.4
• /
• pp.751-759
• /
• 1994

Concrete contains numerous microcracks initially. The growth and propagation of microcracks cause failure of concrete. These processings are termed as "damage". The concepts of the continuum damage mechanics are presented and the damage evolution law and constitutive equation are derived by using the Helmholz free energy and the dissipation potential by means of the thermodynamic principles. The constitutive equation includes the effects of elasticity, damage and plasticity of concrete. The proposed model successfully predicts the nonlinear behavior of concrete subject to monotonic uniaxial and biaxial loadings.

• Bulletin of the Korean Chemical Society
• /
• v.26 no.11
• /
• pp.1723-1727
• /
• 2005

A generalized fractional diffusion equation (FDE) is presented, which describes the time-evolution of the spatial distribution of a particle performing continuous time random walk (CTRW) on a fractal lattice. For a case corresponding to the CTRW with waiting time distribution that behaves as $\psi(t) \sim (t) ^{-(\alpha+1)}$, the FDE is solved to give analytic expressions for the Green’s function and the mean squared displacement (MSD). In agreement with the previous work of Blumen et al. [Phys. Rev. Lett. 1984, 53, 1301], the time-dependence of MSD is found to be given as < $r^2(t)$ > ~ $t ^{2\alpha/dw}$, where $d_w$ is the walk dimension of the given fractal. A Monte-Carlo simulation is also performed to evaluate the range of applicability of the proposed FDE.

• Bulletin of the Korean Chemical Society
• /
• v.27 no.10
• /
• pp.1659-1663
• /
• 2006

A many-body master equation is constructed by incorporating stochastic terms responsible for chemical reactions into the many-body Smoluchowski equation. Two forms of Langevin-type of memory equations describing the time evolution of dynamical variables under the influence of time-independent perturbation with an arbitrary intensity are derived. One form is convenient in obtaining the dynamics approaching the steady-state attained by the perturbation and the other in describing the fluctuation dynamics at the steady-state and consequently in obtaining the linear response of the system at the steady-state to time-dependent perturbation. In both cases, the kinetics of statistical averages of variables is found to be obtained by analyzing the dynamics of time-correlation functions of the variables.

• Journal of the Korean Society of Combustion
• /
• v.15 no.4
• /
• pp.22-28
• /
• 2010

The Direct Quadrature Method of Moments (DQMOM) has been presented for the solution of population balance equation in the wide range of the multi-phase flows. This method has the inherently interesting features which can be easily applied to the multi-inner variable equation. In addition, DQMOM is capable of easily coupling the gas phase with the discrete phases while it requires the relatively low computational cost. Soot inception, subsequent aggregation, surface growth and oxidation are described through a population balance model solved with the DQMOM for soot formation. This approach is also able to represent the evolution of the soot particle size distribution. The turbulence-chemistry interaction is represented by the laminar flamelet model together with the presumed PDF approach and the spherical harmonic P-1 approximation is adopted to account for the radiative heat transfer.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.4
• /
• pp.627-644
• /
• 2009

The gauge-Uzawa method which has been constructed in [11] is a projection type method to solve the evolution Navier-Stokes equations. The method overcomes many shortcomings of projection methods and displays superior numerical performance [11, 12, 15, 16]. However, we have obtained only suboptimal accuracy via the energy estimate in [11]. In this paper, we study semi-discrete gauge-Uzawa method to prove optimal accuracy via energy estimate. The main key in this proof is to construct the intermediate equation which is formed to gauge-Uzawa algorithm. We will estimate velocity errors via comparing with the intermediate equation and then evaluate pressure errors via subtracting gauge-Uzawa algorithm from Navier-Stokes equations.