• Title/Summary/Keyword: Partial Implicit Method

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A Study on the Nozzle-Rotor Interactions of Partial Admission Supersonic Turbines (부분입사형 초음속 터빈의 노즐과 익렬의 상호작용에 관한 연구)

  • Seong Young-Sik;Han Seong-Hoon;Kim Kui-Soon;Park Chang-Kyoo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.8 no.3
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    • pp.53-60
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    • 2004
  • In order to investigate the nozzle - rotor interactions and the effect of partial admission, the flows in supersonic turbine rotor cascades with a nozzle have been computed. Extensive computations of partial admission supersonic turbines provide the shock structures and flow patterns in the nozzle and rotor. The governing equations were discretized with Euler implicit method in time and 2nd-order upwind scheme of FVM in space. The $\kappa$-$\varepsilon$ turbulence model was utilized to describe the turbulent flow field. It is clearly shown that the nozzle flow is highly affected by the shocks or expansion waves propagated from the rotor leading edge. And the rotor flow is also affected by the shocks or wakes originated from the nozzle.

Knowledge-based Decision Making using System Dynamics (시스템 다이나믹스를 이용한 지식 기반 의사결정)

  • Kim, Hee-Woong;Kwak, Sang-Man
    • IE interfaces
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    • v.13 no.1
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    • pp.17-28
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    • 2000
  • As knowledge has been recognized as a new resource in gaining organizational competitiveness, Knowledge Management (KM) is suggested as a method to manage and apply knowledge for business management. KM research, however, has focused on identifying, storing, and distributing the transaction-related knowledge in an organization. There has been little research on applying the knowledge to decision-making or strategy development that is the main task of business management. The application of knowledge to decision making has higher impact on organizational performance rather than just the knowledge management for process transaction. In this research, we suggest System Dynamics (SD) for the knowledge-based decision-making. Based on the modeling method of SD, we can translate partial and implicit knowledge resident in individual's mental model into organized explicit knowledge. The simulation test of the organized knowledge model enables decision-makers to understand the structure of the target problem and its behavior mechanism, which facilitates effective decision-making. We will compare the proposed method and other KM methods and discuss this research based on the application case to a real telecommunication company.

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Partially Implicit Chebyshev Pseudo-spectral Method for a Periodic Unsteady Flow Analysis (부분 내재적 체비셰브 스펙트럴 기법을 이용한 주기적인 비정상 유동 해석)

  • Im, Dong Kyun
    • Journal of Aerospace System Engineering
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    • v.14 no.3
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    • pp.17-23
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    • 2020
  • In this paper, the efficient periodic unsteady flow analysis is developed by using a Chebyshev collocation operator applied to the time differential term of the governing equations. The partial implicit time integration method was also applied in the governing equation for a fluid, which means flux terms were implicitly processed for a time integration and the time derivative terms were applied explicitly in the form of the source term by applying the Chebyshev collocation operator. To verify this method, we applied the 1D unsteady Burgers equation and the 2D oscillating airfoil. The results were compared with the existing unsteady flow frequency analysis technique, the Harmonic Balance Method, and the experimental data. The Chebyshev collocation operator can manage time derivatives for periodic and non-periodic problems, so it can be applied to non-periodic problems later.

Unsteady Flow Analysis in the Youngsan River Using Explicit and Implicit Finite Difference Methods (양해법과 음해법을 이용한 영산강에서의 부정류해석)

  • Choi, Sung-Uk;Yeo, Woon-Kwang;Choo, Cheol;Kim, Chang-Wan;O, Yu-Chang
    • Water for future
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    • v.24 no.4
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    • pp.49-58
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    • 1991
  • Flood routing in the Youngsan River was performed for the flood event of July, 1989 by two finite difference methods. The Saint Venant eq., a kind of hyperbolic partial differential equation is employed as governing equation and the explicit scheme (Leap Frog) and implicit scheme (Preissmann) are used to discretize the GE. As for the external boundary conditions, discharge and tidal elevation are upstream and downstream BC, respectively and estuary dam is included in internal BC. Lateral inflows and upstream discharges are the hourly results from storage function method, At Naju station, a Relatively upstream points in this river, the outputs are interpreted as good ones by comparing two numerical results of FDMs with the observed data and the calibrated results by storage function method. and two computational results are compared at the other sites, from middle stream and downstream points, and thus are considered reliable. Therefore, we can conclude from this research that these numerical models are adaptable in simulating and forecasting the flood in natural channels in Korea as well as existing hydrologic models. And the study about optimal gate control at the flood time is expected as further study using these models.

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AN EFFICIENT AND ROBUST NUMERICAL METHOD FOR OPTION PRICES IN A TWO-ASSET JUMP-DIFFUSION MODEL

  • Lee, Chaeyoung;Wang, Jian;Jang, Hanbyeol;Han, Hyunsoo;Lee, Seongjin;Lee, Wonjin;Yang, Kisung;Kim, Junseok
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.231-249
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    • 2020
  • We present an efficient and robust finite difference method for a two-asset jump diffusion model, which is a partial integro-differential equation (PIDE). To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. In addition, we use bilinear interpolation to solve integral term of PIDE. We can obtain more stable value by using the payoff-consistent extrapolation. We provide numerical experiments to demonstrate a performance of the proposed numerical method. The numerical results show the robustness and accuracy of the proposed method.

Creep strain modeling for alloy 690 SG tube material based on modified theta projection method

  • Moon, Seongin;Kim, Jong-Min;Kwon, Joon-Yeop;Lee, Bong-Sang;Choi, Kwon-Jae;Kim, Min-Chul
    • Nuclear Engineering and Technology
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    • v.54 no.5
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    • pp.1570-1578
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    • 2022
  • During a severe accident, steam generator (SG) tubes undergo rapid changes in the pressure and temperature. Therefore, an appropriate creep model to predict a short term creep damage is essential. In this paper, a novel creep model for Alloy 690 SG tube material was proposed. It is based on the theta (θ) projection method that can represent all three stages of the creep process. The original θ projection method poses a limitation owing to its inability to represent experimental creep curves for SG tube materials for a large strain rate in the tertiary creep region. Therefore, a new modified θ projection method is proposed; subsequently, a master curve for Alloy 690 SG material is also proposed to optimize the creep model parameters, θi (i = 1-5). To adapt the implicit creep scheme to the finite element code, a partial derivative of incremental creep with respect to the stress is necessary. Accordingly, creep model parameters with a strictly linear relationship with the stress and temperature were proposed. The effectiveness of the model was validated using a commercial finite element analysis software. The creep model can be applied to evaluate the creep rupture behavior of SG tubes in nuclear power plants.

Transient response of 2D functionally graded beam structure

  • Eltaher, Mohamed A.;Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.357-367
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    • 2020
  • The objective of this article is investigation of dynamic response of thick multilayer functionally graded (FG) beam under generalized dynamic forces. The plane stress problem is exploited to describe the constitutive equation of thick FG beam to get realistic and accurate response. Applied dynamic forces are assumed to be sinusoidal harmonic, sinusoidal pulse or triangle in time domain and point load. Equations of motion of deep FG beam are derived based on the Hamilton principle from kinematic relations and constitutive equations of plane stress problem. The numerical finite element procedure is adopted to discretize the space domain of structure and transform partial differential equations of motion to ordinary differential equations in time domain. Numerical time integration method is used to solve the system of equations in time domain and find the time responses. Numerical parametric studies are performed to illustrate effects of force type, graduation parameter, geometrical and stacking sequence of layers on the time response of deep multilayer FG beams.

A FAST AND ROBUST NUMERICAL METHOD FOR OPTION PRICES AND GREEKS IN A JUMP-DIFFUSION MODEL

  • JEONG, DARAE;KIM, YOUNG ROCK;LEE, SEUNGGYU;CHOI, YONGHO;LEE, WOONG-KI;SHIN, JAE-MAN;AN, HYO-RIM;HWANG, HYEONGSEOK;KIM, HJUNSEOK
    • The Pure and Applied Mathematics
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    • v.22 no.2
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    • pp.159-168
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    • 2015
  • Abstract. We propose a fast and robust finite difference method for Merton's jump diffusion model, which is a partial integro-differential equation. To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. Also, we use non-uniform grids to increase efficiency. We present numerical experiments such as evaluation of the option prices and Greeks to demonstrate a performance of the proposed numerical method. The computational results are in good agreements with the exact solutions of the jump-diffusion model.

Numerical simulation of single-phase two-components flow in naturally fractured oil reservoirs

  • Debossam, Joao Gabriel Souza;dos Santos Heringer, Juan Diego;de Souza, Grazione;Souto, Helio Pedro Amaral
    • Coupled systems mechanics
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    • v.8 no.2
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    • pp.129-146
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    • 2019
  • The main goal of this work is to develop a numerical simulator to study an isothermal single-phase two-component flow in a naturally fractured oil reservoir, taking into account advection and diffusion effects. We use the Peng-Robinson equation of state with a volume translation to evaluate the properties of the components, and the discretization of the governing partial differential equations is carried out using the Finite Difference Method, along with implicit and first-order upwind schemes. This process leads to a coupled non-linear algebraic system for the unknowns pressure and molar fractions. After a linearization and the use of an operator splitting, the Conjugate Gradient and Bi-conjugated Gradient Stabilized methods are then used to solve two algebraic subsystems, one for the pressure and another for the molar fraction. We studied the effects of fractures in both the flow field and mass transport, as well as in computing time, and the results show that the fractures affect, as expected, the flow creating a thin preferential path for the mass transport.

The Exploratory Study on the Financial Soundness of Public Pension : The Case of National Pension Scheme (공적연금 재정건전성에 대한 탐색적 고찰 : 국민연금을 중심으로)

  • Kwon, Moon-Il
    • Korean Journal of Social Welfare
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    • v.46
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    • pp.7-36
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    • 2001
  • The current benefit expenditure of National Pension Scheme is comparatively small, as it stands in the early stage in reference to the historical development. On the other hand, the current contribution rate of National Pension is set up beyond which is sufficient to cover the current benefit expenditure. Therefore, National Pension makes big surplus every year such that the size of accumulated fund increases very fast. Nevertheless, the apprehension of financial instability of National Pension prevails these days. If so, is it really well-grounded? In terms of the method of financing. public pension schemes of most of all nations in the world are based on pay-as you go or partial funding. Under these financing methods, financial soundness fundamentally depends on the power that the government is able to impose the burden which is equivalent to benefit expenditure and the attitude of the public which represents whether they will admit it or not. Under this perspective, the judgement of financial soundness of public pension can not be made arithmetically and technically only on the basis of the balance between receipts and expenditure but should be accomplished considering the very complex and diverse aspects. In these context, this paper defines what the financial soundness of public pension means specifically and presents the objective indices which help judge it, that is, implicit debt, cost rate, summarized cost rate, pension expenditure as percentage of GDP, and fund rate. Then, applying the indices, this paper analyzes the long-term financial situation of National Pension empirically and evaluates its financial soundness in exploratory perspective.

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