• Title/Summary/Keyword: Thomas method

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A Comparative Study on the Multivariate Thomas-Fiering and Matalas Model (다변량 Thomas-Fiering 모형과 Matalas 모형의 비교연구)

  • 이주헌;이은태
    • Water for future
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    • v.24 no.4
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    • pp.59-66
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    • 1991
  • Abstract The purpose of the synthetic of monthly river flows based on the short-term observed data by means of multivariate stochastic models is to provide abundunt input data to the water resources systems of which the system performance and operation policy are to be determined beforehand. In this study, multivariate Thomas-Fiering and Matalas models for synthetic generation based on stream flows in neihboring basin were employed to check if it can be applide in the modeling of monthly flows. Statistical parameters estimated by Method of Moment and Fourier Series Analysis respectively were reproduced for statistical features. For comparisons the statistical parameters of the generated monthly flow by each model were compared with those of the observed monthly flows. Results of this study suggest that the application of Matalas model for synthetic generation of monthly river flows can be adapted.

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MODIFIED DECOMPOSITION METHOD FOR SOLVING INITIAL AND BOUNDARY VALUE PROBLEMS USING PADE APPROXIMANTS

  • Noor, Muhammad Aslam;Noor, Khalida Inayat;Mohyud-Din, Syed Tauseef;Shaikh, Noor Ahmed
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1265-1277
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    • 2009
  • In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

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A Study on Determination of Frequency Storage Capacities by Inflows (유입량에 따른 빈도별 저수용량 결정에 관한 연구)

  • Choi, Han-Kyu;Choi, Yong-Mook;Jeon, Kwang-Je
    • Journal of Industrial Technology
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    • v.20 no.A
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    • pp.131-138
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    • 2000
  • A past monthly data is not faithful so much for a short term. But, the stochastic generation technique was provide of a long-term data. Thus this study is used a data which generated a monthly inflow amounts data by Thomas-Fiering model. This model is needed a certain process which determination of distribution, decision of continuous durability, etc. It was generated a inflow data every one month as Thomas-Fiering method. The generated inflow data was used input data for a monthly cumulative analysis. This analysis obtained a storage capacities which would be required during droughts having various return periods. It was presented a equation of fitting regression that was carried out regression analysis of 5, 10, 20, 50 years period.

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A STUDY ON SYNTHETIC GENERATION OF MONTHLY STREAMFLOW BY BIVARIATE ANALYSIS (BIVARIATE ANALYSIS에 의한 월류량에 모의발생에 관한 연구)

  • Seo, Byeong-Ha;Yun, Yong-Nam;Gang, Gwan-Won
    • Water for future
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    • v.12 no.2
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    • pp.63-69
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    • 1979
  • The sequences of monthly streamflows constitute a non-statonary time series. The purely stochastic model has been applied to data generation of non-stationary time series. Tow different mothods--single site and multisite generation--have been used on the hydrologic time series. In this study the synthetic generation method by bivariate analysis, studied by Thomas Fiering, one of multi-site models, has been applied to the historical data on monthly streamflows at two sites in Nakdong River, and also for validity of this model the single site Thomas Fiering model applied. Through statistical analysis it has been shown that the performance of bivariate Thomas Fiering model was better than that of the other. By comparison of mean and standard deviaion between the historical and the generated, and cross correlogram interpretation, it has been known that the model used herein has good performance to simultaneously generate the monthly streamflows at two sites in a river hasin.

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POSTPROCESSING FOR THE RAVIART-THOMAS MIXED FINITE ELEMENT APPROXIMATION OF THE EIGENVALUE PROBLEM

  • Kim, Kwang-Yeon
    • Korean Journal of Mathematics
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    • v.26 no.3
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    • pp.467-481
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    • 2018
  • In this paper we present a postprocessing scheme for the Raviart-Thomas mixed finite element approximation of the second order elliptic eigenvalue problem. This scheme is carried out by solving a primal source problem on a higher order space, and thereby can improve the convergence rate of the eigenfunction and eigenvalue approximations. It is also used to compute a posteriori error estimates which are asymptotically exact for the $L^2$ errors of the eigenfunctions. Some numerical results are provided to confirm the theoretical results.

A Study on the hydrological generation of streamflow - A study on the Range determination of reservoir - (하천유량의 수문학적 모의기술에 관한 연구(I) - 저수지의 Range 결정에 관한 연구)

  • Choe, Han-Gyu;Choe, Yeong-Park;Kim, Chi-Hong
    • Water for future
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    • v.15 no.2
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    • pp.33-39
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    • 1982
  • For the determination of a reservoir capacity Rippl's mass-curve method has long been used with the past river flow data assuming the same flow records will be repeated in the future. In this study the synthetic generation methods of thomas-Fiering type and harmonic analysis were used to synthetically generate 50 years of monthly river inflows to three single-purpose reservoris(Chuncheon, Chungpyong, Hwacheon) and three multi-purpose reservoirs(Soyany, Andon, Daichung). The generated sequences of monthly flows were analyzed based on the range concept, and hence the so-determined ranges for single-prupose and multi-purpose rewervoirs were correlated with the number of monthly flow subseries, resulting an empirical equation of the Feller's type. (1) Single-purpose reservoir $$R_n=2.8357 I\sqrt{n}$$ (2) Multi-purpose reservoir $$R_n=2.5145 I\sqrt{n}$$ where, $R_n$:Range(㎥/S-M) n:periodic(12 months, ……120 months) I:Input mean(㎥/S-M) In Korea, the monthly inflow data generation will be fit to the Thomas-Fiering type, and this paper shows that the periodic range is easily calculated without the Rippl's mass-curve method as shown above formula.

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The ξ-Quality Defuzzification Method

  • Hans, Hellendoorn;Christoph, Thomas
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1159-1162
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    • 1993
  • We describe six important defuzzification methods and their respective merits and shortcomings, dependent on the rules, domains, etc. Furthermore, we present an alternative approach, the so called ξ-Quality defuzzification method, for the case that the output fuzzy sets have different shape or are asymmetric.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae E. M.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.9-18
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    • 1996
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae Eun-Mi;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Prediction of Transonic Buffet Onset for a Supercritical Airfoil with Shock-Boundary Layer Interactions Using Navier-Stokes Solver

  • Chung, Injae
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.1
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    • pp.1-7
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    • 2017
  • To predict the transonic buffet onset for a supercritical airfoil with shock-boundary layer interactions, a practical steady approach has been proposed. In this study, it is assumed that the airfoil flow is steady even when buffet onset occurs. Steady Navier-Stokes computations are performed on the supercritical airfoil. Using the aerodynamic parameters calculated from Navier-Stokes solver, various steady approaches for predicting buffet onset are discussed. Among the various steady approaches considered in this study, Thomas' criterion based on Navier-Stokes computation has shown to be the most appropriate indicator of identifying the buffet onset for a supercritical airfoil with shock-boundary layer interactions. Good agreements have been obtained compared with the results of unsteady transonic wind tunnel tests. The present method is shown to be reliable and useful for transonic buffet onset for a supercritical airfoil with shock-boundary layer interactions in terms of practical engineering viewpoint.