• Title/Summary/Keyword: second-order accuracy

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Stochastic finite element analysis considering the uncertainty of shape (형상의 불확실성을 고려한 확률유한요소 해석)

  • Kim, Young-Kyoun;Hong, Jung-Pyo;Kim, Gyu-Tak;Hur, Jin
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.200-202
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    • 1999
  • A method of stochastic finite element analysis is developed for yield a uncertainty of engineering problems. Where, a stochastic finite-element method for shapes modeling is proposed a6 a means to solve the models with the uncertainty and variety. This method is based on the probability and illustrated by a first-Order Second-Moment Method and considering the covariance of random variables. The validity and accuracy of the stochastic finite element method is verified through comparing with those solved by the conventional 2-D finite element method.

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A Design and Development of A Related Tag Clustering Algorithm (연관 태그의 군집 알고리즘의 설계 및 구현)

  • Park, Byoung-Jae;Woo, Chong-Woo
    • Journal of Information Technology Services
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    • v.7 no.4
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    • pp.199-208
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    • 2008
  • Tagging represents one of the Web 2.0 technology, and has an appropriate mechanism for the classification of dynamically changing Web informations. This technique is capable of searching the Web informations using the user specified tags, but still it has a limitation of providing only the limited informations to the tags. Therefore, in order to search the related informations easily, we need to extend this technique further to search not only the desired informations through the designated tags and also the related informations. In this paper, we first have designed and developed an algorithm that can get a desired tag cluster, which is capable of collecting the searched tags along with the related tags. We first performed a test to compare the difference between the user collected tag data through RSS and the reduced data. The second test focused on the accuracy of extracted related tags that depends on the similarity functions, such as the Pearson Correlation and Euclidean. Finally, we showed the final results visually using the graph algorithm.

A Practical Method for Computing Wave Resistance (조파저항 계산을 위한 실용적인 방법)

  • Seung-Joon Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.1
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    • pp.111-120
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    • 1994
  • This is a continuing work of Van & Lee[1]. Some unresolved results of theirs are first discussed more, and then Tulis's[2] exact theory is briefly reviewed. A second order theory derived from Tulin's is used as a basis to judge the accuracy of the Poisson and the Dawson[3] free surface boundary condition(FSBC) in the low speed region for a two-dimensional submerged body. In search of a new FSBC, a purely numerical approach is adopted, and we show one candidate and its performance, which is satisfactory to a certain degree.

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Development of an Analytic Nodal Expansion Method of Neutron Diffusion Equation in Cylindrical Geometry

  • Kim, Jae-Shik;Kim, Jong-Kyung;Kim, Hyun-Dae
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.131-136
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    • 1996
  • An analytic nodal expansion method has been derived for the multigroup neutron diffusion equation in 2-D cylindrical(R-Z) coordinate. In this method we used the second order Legendre polynomials for source, and transverse leakage, and then the diffusion eqaution was solved analytically. This formalism has been applied to 2-D LWR model. $textsc{k}$$_{eff}$, power distribution, and computing time have been compared with those of ADEP code(finite difference method). The benchmark showed that the analytic nodal expansion method in R-Z coordinate has good accuracy and quite faster than the finite difference method. This is another merit of using R-Z coordinate in that the transverse integration over surfaces is better than the linear integration over length. This makes the discontinuity factor useless.s.

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Numerical method to determine the elastic curve of simply supported beams of variable cross-section

  • Biro, Istvan;Cveticanin, Livija;Szuchy, Peter
    • Structural Engineering and Mechanics
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    • v.68 no.6
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    • pp.713-720
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    • 2018
  • In this paper a new numerical method to determine the elastic curve of the simply supported beams of variable cross-section is demonstrated. In general case it needs to solve linear or small nonlinear second order differential equations with prescribed boundary conditions. For numerical solution the initial values of the slope and the deflection of the end cross-section of the beam is necessary. For obtaining the initial values a lively procedure is developed: it is a special application of the shooting method because boundary value problems can be transformed into initial value problems. As a result of these transformations the initial values of the differential equations are obtained with high accuracy. Procedure is applied for calculating of elastic curve of a simply supported beam of variable cross-section. Results of these numerical procedures, analytical solution of the linearized version and finite element method are compared. It is proved that the suggested procedure yields technically accurate results.

Efficient computational method for joint distributions of heights and periods of nonlinear ocean waves

  • Wang, Yingguang
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.597-605
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    • 2019
  • This paper proposes a novel method for efficient prediction of joint distributions of heights and periods of nonlinear ocean waves. The proposed novel method utilizes a transformed linear simulation which is based on a Hermite transformation model where the transformation is chosen to be a monotonic cubic polynomial, calibrated such that the first four moments of the transformed model match the moments of the true process. This proposed novel method is utilized to predict the joint distributions of wave heights and periods of a sea state with the surface elevation data measured at the Gulfaks C platform in the North Sea, and the novel method's accuracy and efficiency are favorably validated by using comparisons with the results from an empirical joint distribution model, from a linear simulation model and from a second-order nonlinear simulation model.

Inverse method to obtain reactivity in nuclear reactors with P1 point reactor kinetics model using matrix formulation

  • Suescun-Diaz, Daniel;Espinosa-Paredes, Gilberto;Escobar, Freddy Humberto
    • Nuclear Engineering and Technology
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    • v.53 no.2
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    • pp.414-422
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    • 2021
  • The aim of this work considers a second order point reactor kinetics model based on the P1 approximation of transport theory, called in this work as P1 point reactor model. The P1 point reactor model implicitly considers the time derivative of the neutron source which has not been thus considered previously. The inverse method to calculate the reactivity in nuclear reactors -chosen because its high accuracy- Matrix Formulation. The numerical results shown that the Matrix Formulation for the reactivity estimation constitutes a method with insignificant calculation errors.

Direct identification of aeroelastic force coefficients using forced vibration method

  • Herry, Irpanni;Hiroshi, Katsuchi;Hitoshi, Yamada
    • Wind and Structures
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    • v.35 no.5
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    • pp.323-336
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    • 2022
  • This study investigates the applicability of the direct identification of flutter derivatives in the time domain using Rational Function Approximation (RFA), where the extraction procedure requires either a combination of at least two wind speeds or one wind speed. In the frequency domain, flutter derivatives are identified at every wind speed. The ease of identifying flutter derivatives in the time domain creates a paradox because flutter derivative patterns sometimes change in higher-order polynomials. The first step involves a numerical study of RFA extractions for different deck shapes from existing bridges to verify the accurate wind speed combination for the extraction. The second step involves validating numerical simulation results through a wind tunnel experiment using the forced vibration method in one degree of freedom. The findings of the RFA extraction are compared to those obtained using the analytical solution. The numerical study and the wind tunnel experiment results are in good agreement. The results show that the evolution pattern of flutter derivatives determines the accuracy of the direct identification of RFA.

A stability factor for structure-dependent time integration methods

  • Shuenn-Yih Chang;Chiu-Li Huang
    • Structural Engineering and Mechanics
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    • v.87 no.4
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    • pp.363-373
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    • 2023
  • Since the first family of structure-dependent methods can simultaneously integrate unconditional stability and explicit formulation in addition to second order accuracy, it is very computationally efficient for solving inertial problems except for adopting auto time-stepping techniques due to no nonlinear iterations. However, an unusual stability property is first found herein since its unconditional stability interval is drastically different for zero and nonzero damping. In fact, instability might occur for solving a damped stiffness hardening system while an accurate result can be obtained for the corresponding undamped stiffness hardening system. A technique of using a stability factor is applied to overcome this difficulty. It can be applied to magnify an unconditional stability interval. After introducing this stability factor, the formulation of this family of structure-dependent methods is changed accordingly and thus its numerical properties must be re-evaluated. In summary, a large stability factor can result in a large unconditional stability interval but also lead to a large relative period error. As a consequence, a stability factor must be appropriately chosen to have a desired unconditional stability interval in addition to an acceptable period distortion.

Numerical Anslysis of Transcritical Flow in Open Channels Using High-Resolution scheme II. : Applications (고정확도 수치기법을 이용한 하천 천이류 해석 II. : 적용)

  • Kim, Won;Han, Kun-Yeun
    • Journal of Korea Water Resources Association
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    • v.34 no.1
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    • pp.57-65
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    • 2001
  • A numerical model for analyzing transcritical flow in open channel is tested to various cases of channel shape. As the numerical models developed for transcritical flow until now mainly focused on the application to only prismatic or hypothetical channels, there are some restrictions to apply the nonprismatic channels. In this study, to verify the accuracy and stability of second-order implicit ENO scheme, the numerical model was applied to the channels which haute the varying channel bed and width. Also the numerical model was applied to unsteady flow as well as steady flow. The study shows that the numerical model provides good accuracy in the calculation of stage and velocity with no numerical oscillation, particularly in the calculation of hydraulic jump and discontinous flow Then the implicit ENO scheme demonstrated good accuracy as a high-resolution scheme and stability as an implicit scheme.

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