• Title/Summary/Keyword: Numerical Computation

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Efficient methods for integrating weight function: a comparative analysis

  • Dubey, Gaurav;Kumar, Shailendra
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.885-900
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    • 2015
  • This paper introduces Romberg-Richardson's method as one of the numerical integration tools for computation of stress intensity factor in a pre-cracked specimen subjected to a complex stress field across the crack faces. Also, the computation of stress intensity factor for various stress fields using existing three methods: average stress over interval method, piecewise linear stress method, piecewise quadratic method are modified by using Richardson extrapolation method. The direct integration method is used as reference for constant and linear stress distribution across the crack faces while Gauss-Chebyshev method is used as reference for nonlinear distribution of stress across the crack faces in order to obtain the stress intensity factor. It is found that modified methods (average stress over intervals-Richardson method, piecewise linear stress-Richardson method, piecewise quadratic-Richardson method) yield more accurate results after a few numbers of iterations than those obtained using these methods in their original form. Romberg-Richardson's method is proven to be more efficient and accurate than Gauss-Chebyshev method for complex stress field.

Robust Identification of Time Domain Using Recursive Computation (반복계산을 이용한 시간영역의 견실동정)

  • Lee, Dong-Cheol;Joe, Cheol-Je;Bae, Jong-Il;Chung, Hwung-Hwan;Jo, Bong-Kwan
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2296-2298
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    • 2001
  • This is to discuss on the robust identification method using the Caratheodory -Fejer theorem. The robust identification method in this paper points out the question at issue brought from numerical analysis in case of Zhou and Kimura method and carries out recursive computation considering the presence of probable noise. Effectiveness of the proposed method is verified theoretically through the numerical simulation.

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Computation of Dynamic Stress in Flexible Multi-body Dynamics Using Absolute Nodal Coordinate Formulation (절대절점좌표를 이용한 탄성 다물체동역학 해석에서의 동응력 이력 계산에 관한 연구)

  • 서종휘;정일호;박태원
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.5
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    • pp.114-121
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    • 2004
  • Recently, the finite element absolute nodal coordinate formulation (ANCF) was developed for the large deformation analysis of flexible bodies in multi-body dynamics. This formulation is based on the finite element procedures and the general continuum mechanics theory to represent the elastic forces. In this paper, a computation method of dynamic stress in flexible multi-body dynamics using absolute nodal coordinate formulation is proposed. Numerical examples, based on an Euler-Bernoulli beam theory, are shown to verify the efficiency of the proposed method. This method can be applied for predicting the fatigue life of a mechanical system. Moreover, this study demonstrates that structural and multi-body dynamic models can be unified in one numerical system.

Numerical Study on Propulsion Performance Enhancement of Superdetonative mode Ram Accelerator by using strong mixture

  • Sung, Kun-Min;Jeung, In-Seuck
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.519-524
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    • 2008
  • A numerical study is conducted to investigate propulsion performance enhancement based on S225 experiment case of ISL(French-German Research Institute of Saint-Louis)'s superdetonative ram accelerator. For govern equation, multi-species Navier-Stokes equation coupled with Baldwin-Lomax turbulence modeling is used. Govern equation is discretized by Roe's FDS and integrated by LU-SGS time integration. Detailed chemical reaction about $H_2/O_2/CO_2$ for high pressure is considered. $2H_2+O_2+2.5CO_2$ mixture was used for propellant gas. For the same over-driven factor, the launching speed of computation was faster than one of S225. Another configuration and condition of S225 was applied. A flame structure is very different from S225. For strong mixture case, it shows ignition by viscous effect. Acceleration and speed increment is higher than S225 computation and experiment. By using more strong mixture, propulsion performance was enhanced.

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A computational note on maximum likelihood estimation in random effects panel probit model

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.26 no.3
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    • pp.315-323
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    • 2019
  • Panel data sets have recently been developed in various areas, and many recent studies have analyzed panel, or longitudinal data sets. Often a dichotomous dependent variable occur in survival analysis, biomedical and epidemiological studies that is analyzed by a generalized linear mixed effects model (GLMM). The most common estimation method for the binary panel data may be the maximum likelihood (ML). Many statistical packages provide ML estimates; however, the estimates are computed from numerically approximated likelihood function. For instance, R packages, pglm (Croissant, 2017) approximate the likelihood function by the Gauss-Hermite quadratures, while Rchoice (Sarrias, Journal of Statistical Software, 74, 1-31, 2016) use a Monte Carlo integration method for the approximation. As a result, it can be observed that different packages give different results because of different numerical computation methods. In this note, we discuss the pros and cons of numerical methods compared with the exact computation method.

Design Optimization on Wastewater Treatment Pump of Satisfaction for High Head and Low Flow Rate (고양정 및 저유량을 만족하는 폐수처리용 펌프 설계 최적화)

  • KIM, SUNG;KIM, JIN-HYUK
    • Transactions of the Korean hydrogen and new energy society
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    • v.33 no.5
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    • pp.583-590
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    • 2022
  • In this paper, the performance characteristics of the 2 vane pump for wastewater treatment were investigated using response surface method(RSM) with commercial computation fluid dynamics(CFD) software. Design variables of wastewater treatment pump were defined with the meridional plane of the 2 vane pump impeller. The objective functions were defined as the total head and the efficiency at the design flow rate. The hydraulic performance of optimum model was verified by numerical analysis and the reliability of the model was retained by comparison of numerical analysis and comparative analysis with the reference model.

Bayesian Inference for Littlewood-Verrall Reliability Model

  • Choi, Ki-Heon;Choi, Hae-Ja
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.1
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    • pp.1-9
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    • 2003
  • In this paper we discuss Bayesian computation and model selection for Littlewood-Verrall model using Gibbs sampling. A numerical example with a simulated data is given.

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Numerical discrepancy between serial and MPI parallel computations

  • Lee, Sang Bong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.5
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    • pp.434-441
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    • 2016
  • Numerical simulations of 1D Burgers equation and 2D sloshing problem were carried out to study numerical discrepancy between serial and parallel computations. The numerical domain was decomposed into 2 and 4 subdomains for parallel computations with message passing interface. The numerical solution of Burgers equation disclosed that fully explicit boundary conditions used on subdomains of parallel computation was responsible for the numerical discrepancy of transient solution between serial and parallel computations. Two dimensional sloshing problems in a rectangular domain were solved using OpenFOAM. After a lapse of initial transient time sloshing patterns of water were significantly different in serial and parallel computations although the same numerical conditions were given. Based on the histograms of pressure measured at two points near the wall the statistical characteristics of numerical solution was not affected by the number of subdomains as much as the transient solution was dependent on the number of subdomains.

Experimental Measurement and Numerical Computation on the Air-Side Forced Convective Heat Tranfer Coefficient in Plate Fin-Tube Exchangers (평판 핀 튜브 열교환기의 공기측 강제대류 열전달계수에 대한 실험 및 수치계산)

  • Yoon, Young-Hwan;Paeng, Jin-Gi;Yoon, Keon-Sik
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.18 no.9
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    • pp.729-737
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    • 2006
  • Air-side forced convective heat transfer of a plate fin-tube heat exchanger is investigated by experimental measurement and numerical computation. The heat exchanger consists of staggered arrangement of refrigerant pipes of 10.2 m diameter and the pitch of fins is 3.5 m. In the experimental study, the forced convective heat transfer is measured at Reynolds number of 1082, 1397, 1486, 1591 and 1649 based on diameter of refrigerant piping and mean velocity. Average Nusselt number for the convective heat transfer coefficient is also computed for the same Reynolds number by commercial software of STAR-CD with standard $k-{\varepsilon}$ turbulent model. It is found that the relative errors of average Nusselt numbers between experimental and numerical data are less than 6 percentage in Reynolds number of $1082{\sim}1649$. The errors between experiment and other correlations are ranged from 7% to 32.4%. But the correlation of Kim at al is closest to the experimental data within 7% of the relative error.

A Numerical Study on the Prediction of Sloshing Impact Pressure (Sloshing 충격압력의 추정을 위한 수치기법에 관한 연구)

  • Y.H. Kim;Y.J. Park;H.R. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.61-73
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    • 1993
  • In the present study, sloshing problem is analyzed by the application of Finite Difference Method. SOLA-SURF scheme is applied to the analysis of fluid motion considering free surface. Especially, the concept of impact buffer zone is introduced for the prediction of more realistic impact pressure on tank. Numerical computation is carried out for the typical three models, and the computed results show good agreement with experimental data. The computation is also performed for 300,000 tons VLCC as a real-ship application. From the present study, it is proved that this numerical technique is quite practical to the prediction of sloshing impact pressure.

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