• Journal of the Korean Data and Information Science Society
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• v.17 no.3
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• pp.919-925
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• 2006

Maximum likelihood estimate(MLE) is obtained from the partial log-likelihood function for the cell probabilities of two way incomplete contingency tables proposed by Chen and Fienberg(1974). The partial log-likelihood function is modified by adding lagrangian multiplier that constraints can be incorporated with. Variances of MLE estimators of population proportions are derived from the matrix of second derivatives of the loglikelihood with respect to cell probabilities. Simulation results, when data are missing at random, reveal that Complete-case(CC) analysis produces biased estimates of joint probabilities under MAR and less efficient than either MLE or MI. MLE and MI provides consistent results under either the MAR situation. MLE provides more efficient estimates of population proportions than either multiple imputation(MI) based on data augmentation or complete case analysis. The standard errors of MLE from the proposed method using lagrangian multiplier are valid and have less variation than the standard errors from MI and CC.

• Journal of Environmental Science International
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• v.11 no.9
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• pp.907-914
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• 2002

Various Eulerian-Lagrangian models for the one-dimensional longitudinal dispersion equation in nonuniform flow were studied comparatively. In the models studied, the transport equation was decoupled into two component parts by the operator-splitting approach; one part is governing advection and the other is governing dispersion. The advection equation has been solved by using the method of characteristics following fluid particles along the characteristic line and the results were interpolated onto an Eulerian grid on which the dispersion equation was solved by Crank-Nicholson type finite difference method. In the solution of the advection equation, Lagrange fifth, cubic spline, Hermite third and fifth interpolating polynomials were tested by numerical experiment and theoretical error analysis. Among these, Hermite interpolating polynomials are generally superior to Lagrange and cubic spline interpolating polynomials in reducing both dissipation and dispersion errors.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2011.04a
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• pp.748-751
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• 2011

일반적으로 물체의 거동을 해석하기 위해 고체영역에서는 Lagrangian 기법이 유체영역에서는 Eulerian 기법이 수치해석에 적용된다. Lagranian 기법은 서로 다른 물질의 경계와 자유표면에 대한 거동을 쉽게 추적할 수 있는 반면 물체의 대변형시 해석의 정확성이 떨어지는 단점이 있다. 또한 Eulerian 기법은 물질이동만을 고려하여 변형의 제한이 없는 장점을 가지고 있지만 이동하는 경계에 대해서 조건을 변화 시켜야하는 어려움이 있다. 따라서 이 두기법의 장단점을 서로 보안하기 위해 ALE(Arbitrary Lagrangian Eulerian)기법이 제안되었으며 이를 적용한 유체-구조물의 상호작용 해석에 대하여 많은 연구가 진행되고 있다. 본 논문에서는 이러한 ALE기법을 이용한 자유경계면에 대한 새로운 알고리즘이 제안된다.

• 한국전산유체공학회:학술대회논문집
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• 2003.08a
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• pp.43-48
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• 2003

When the Eulerian-Lagrangian method is used to analyze the particle laden two-phase flow, a large number of particles should be used to obtain statistically meaningful solutions. Then it takes too much time to track the particles and to average the particle properties in the numerical analysis of two-phase flow. The purpose of this paper is to reduce the computation time by means of a set of particle gird separate to the flow grid. Particle motion equation here is the simplified B-B-O equation, which is integrated to get the particle trajectories. Particle turbulent dispersion, wall collision, and wall roughness effects are considered but the two-way coupling effects between gas and particles are neglected. Particle laden 2-D channel flow is solved and it is shown that the computational efficiency is indeed improved by using the current method

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 1994.06a
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• pp.191-198
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• 1994

A practical example of the axisymmetric deep drawing process is simulated by the elastic-plastic finite element analysis using updated Lagrangian approach considering the large deformation. An approach is suggested to solve the problem of the ductile fracture that may encounter during the deep drawing process. The result can be applied to the design of the die for the axisymmetric deep drawing.

• Journal of the Korean Geotechnical Society
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• v.31 no.12
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• pp.45-57
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• 2015

This paper presents the application of the Coupled Eulerian-Lagrangian (CEL) technique to simulate the debris flow. The main objective of this study is to investigate the applicability of CEL technique to the behavior of debris flow, such as flow velocity and influence area. Comprehensive studies to verify the behavior of debris flow are presented in this study. Through comparison with measured flow velocity from Umyeonsan (Mt.), CEL approach was found to be in good agreement with the general trend observed by in actual debris flow. In addition, CEL technique accurately simulated the behavior of debris flows, therefore, it can be used for designing the countermeasure structure.

• Computational Structural Engineering
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• v.5 no.4
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• pp.103-111
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• 1992

In this paper, liquid sloshing effects in rectangular storage structures for spent fuel under earthquake loadings are investigated. Eulerian and Lagrangian approaches are presented. The Eulerian approach is carried out by solving the boundary value problem for the fluid motion. In the Lagrangian approach, the fluid as well as the storage structure is modelled by the finite element method. The fluid region is discretized by using fluid elements. The (1*1)-reduced integration is carried out for constructing the stiffness matrices of the fluid elements. Seismic analysis of the coupled system is carried out by the response spectra method. The numerical results show that the fluid forces on the wall obtained by two approaches are in good agreements. By including the effect of the wall flexibility, the hydrodynamic forces due to fluid motion can be increased very significantly.

• Water for future
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• v.27 no.4
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• pp.145-154
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• 1994

A dynamic model for the pollutant transport analysis in a river is developed by preissmann scheme and lagrangian method considering tidal effects. A generalized Lagranian model alleviate the numerical difficulties associated with the use of the Eulerian reference frame. Comparing the finite difference and finite element solutions of one-dimensional transport equation, Lagrangian model shows the most stable and accurate results. The flow model is calibrated using the recorded flood data in the downstream of the Han River. The particle paths-of-travel is computed by the model for the various low flow conditions. The model will provide operational informations useful for water quality management in the downstream of the Han River.

• Journal of the Earthquake Engineering Society of Korea
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• v.12 no.4
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• pp.45-54
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• 2008

The purpose of this study was to investigate the performance of precast segmental PSC bridge columns with regard to P-delta effects. A model of precast segmental PSC bridge columns was tested under a constant axial load and a cyclically reversed horizontal load. A computer program, RCAHEST(Reinforced Concrete Analysis in Higher Evaluation System Technology), was used for the analysis of reinforced concrete structures. In addition to the material nonlinear properties, an algorithm for the problem of large displacement that may result in additional deformation has been formulated using total Lagrangian formulation. This study documents the testing of precast segmental PSC bridge columns under cyclic loading, and presents conclusions based on the experimental and analytical findings.

• Bulletin of the Society of Naval Architects of Korea
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• v.27 no.2
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• pp.21-30
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• 1990

Theoretical and experimental techniques to analyze the two-dimensional liquid motion in a tank are discussed. A Lagrangian FEM with a velocity correction procedure is introduced to describe incompressible free surface fluid flow. A mesh rezoning technique is used to prevent strong distortion of finite elements in the Lagrangian description. Model test technique for sloshing tank is developed using a hydraulic type bench tester. The influence of the variation in the exciting frequency and amplitude are observed for various fill depths. The results of theoretical calculations are compared with those of experiments.