• Title/Summary/Keyword: numerical procedure

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Numerical Solution of the Mild Slope Equation by Conjugate Gradient Method (CGM을 이용한 완경사방정식의 수치해석)

  • 윤종태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.2
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    • pp.84-90
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    • 1993
  • Iterative solution procedure (Conjugate Gradient Method, Panchang et al., 1991) is implemented for solving the complete mild slope equation for the spherical shoal and the coast with detached breakwater. The numerical results agreed well with the experimental data. The disadvantage that mild slope eguation could be solved only for small domains is now overcome by using this solution procedure. Moreover it can be easily applied to the coastal regions with complex geometry and structures, and needs not so much computer time as the conventional models.

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Prediction of chloride penetration into hardening concrete (경화중 콘크리트의 염해 침투성능에 관한 연구)

  • Fan, Wei-Jie;Wang, Xiao-Yong
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2015.05a
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    • pp.50-51
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    • 2015
  • In marine and coastal environments, penetration of chloride ions is one of the main mechanisms causing concrete reinforcement corrosion. Currently, most of experimental investigations about submerged penetration of chloride ions are started after the four weeks standard curing of concrete. The further hydration of cement and reduction of chloride diffusivity during submerged penetration period are ignored. To overcome this weak point, this paper presents a numerical procedure to analyze simultaneously cement hydration reaction and chloride ion penetration process. First, using a cement hydration model, degree of hydration and phase volume fractions of hardening concrete are determined. Second, the dependences of chloride diffusivity and chloride binding capacity on age of concrete are clarified. Third, chloride profiles in hardening concrete are calculated. The proposed numerical procedure is verified by using chloride penetration test results of concrete with different mixing proportions.

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The evaluation of complex elastic modulus of the foundation by the rectangular plate loading test (직사각형 재하판을 이용한 평판재하시험에 의한 지반의 합성탄성계수 추정에 관한 연구)

  • 강차훈;조현영;정진환;김성도
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.166-173
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    • 2000
  • This paper describes the method of evaluating the elastic modulus of soil medium by using the Retangular Plate Loading Test. The foundaton is considered to be the elastic half-space. The stiffness matrix of elastic half space is drived using Boussinesq's analytical soulution. A numerical examples are presented to verify the validity of this procedure. Also, the numerical results are compared with those of the existing study results. The procedure proposed in this theses can be applied to the design of concrete paving resting on the elastic foundation

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Numerical Simulation of Cascade Flows with Rotor-Stator Interaction Using the Multiblocked Grid (중첩 격자계를 이용한 동익과 정익의 상호작용이 있는 익렬 유동해석)

  • Jung, Y. R.;Park, W. G.;Lee, S. W.
    • 유체기계공업학회:학술대회논문집
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    • 1999.12a
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    • pp.163-169
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    • 1999
  • The numerical procedure has been developed for simulating incompressible viscous flow around a turbine stage with rotor-stator interaction. This study solves 2-D unsteady incompressible Navier-Stokes equations on a non-orthogonal curvilinear coordinate system. The Marker-and-Cell concept is applied to efficiently solve continuity equation. To impose an accurate boundary condition, O-H multiblocked grid system is generated. O-type grid and H-type grid is generated near and outer rotor-stator The cubic-spline interpolation is applied to handle a relative motion of a rotor to the stator. Turbulent flows have been modeled by the Baldwin- Lomax turbulent model. To validate present procedure, the time averaged pressure coefficients around the rotor and stator are compared with experiment and a good agreement obtained.

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Thermal Deformation of Curved Plates by Line Heating (선상가열법에 의한 곡판의 열변형)

  • LEE JOO-SUNG;LIM DONG-YONG
    • Journal of Ocean Engineering and Technology
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    • v.19 no.1 s.62
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    • pp.33-38
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    • 2005
  • It has been well documented that plate forming is one of the most important processes in shipbuilding. In the most shipyards, the line heating method is primarily used for plate forming. Since the heating process is carried out for the curved plate and not for the flat plate, a curvature effect on the final deformation must be considered in deriving the simplified prediction models for deformation. This paper investigates the effect of curvature along the heating line on the deformation of the plate. First of all, results of numerical analysis are compared with these of a line-heating test, to justify the elasto-plastic analysis procedure for the present study, which shows good agreement. Then, the present numerical procedure is applied to flat and curved plate models, to investigate the curvature effect on the heat transfer characteristics and deformation by line heating.

Bayesian updated correlation length of spatial concrete properties using limited data

  • Criel, Pieterjan;Caspeele, Robby;Taerwe, Luc
    • Computers and Concrete
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    • v.13 no.5
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    • pp.659-677
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    • 2014
  • A Bayesian response surface updating procedure is applied in order to update the parameters of the covariance function of a random field for concrete properties based on a limited number of available measurements. Formulas as well as a numerical algorithm are presented in order to update the parameters of response surfaces using Markov Chain Monte Carlo simulations. The parameters of the covariance function are often based on some kind of expert judgment due the lack of sufficient measurement data. However, a Bayesian updating technique enables to estimate the parameters of the covariance function more rigorously and with less ambiguity. Prior information can be incorporated in the form of vague or informative priors. The proposed estimation procedure is evaluated through numerical simulations and compared to the commonly used least square method.

A Study on a VOF Method for the Improvement of Free Surface Capturing (VOF 법의 자유수면 포착정도 향상을 위한 연구)

  • Park, Il-Ryong;Kim, Wu-Joan;Kim, Jin;Van, Suak-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.2 s.140
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    • pp.88-97
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    • 2005
  • A new numerical scheme solving two-phase flow, the Hybrid VOF method for improved free surface capturing has been developed by combining a volume capturing VOF method with the Level-Set reinitialization procedure. For validation, the proposed method is applied to 3-D bubble rising problem, dam breaking and the free surface flow around a commercial container ship. The calculated results by using the Hybrid VOF method with the two previously applied VOF formulations are compared with available numerical and experimental data. It is found that the new method provides more reasonable results than the two previous ones.

Accurate buckling analysis of rectangular thin plates by double finite sine integral transform method

  • Ullah, Salamat;Zhang, Jinghui;Zhong, Yang
    • Structural Engineering and Mechanics
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    • v.72 no.4
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    • pp.491-502
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    • 2019
  • This paper explores the analytical buckling solution of rectangular thin plates by the finite integral transform method. Although several analytical and numerical developments have been made, a benchmark analytical solution is still very few due to the mathematical complexity of solving high order partial differential equations. In solution procedure, the governing high order partial differential equation with specified boundary conditions is converted into a system of linear algebraic equations and the analytical solution is obtained classically. The primary advantage of the present method is its simplicity and generality and does not need to pre-determine the deflection function which makes the solving procedure much reasonable. Another advantage of the method is that the analytical solutions obtained converge rapidly due to utilization of the sum functions. The application of the method is extensive and can also handle moderately thick and thick elastic plates as well as bending and vibration problems. The present results are validated by extensive numerical comparison with the FEA using (ABAQUS) software and the existing analytical solutions which show satisfactory agreement.

Fundamental and conventional computer simulation for the stability of non-uniform systems

  • Wang, Chunping;Chen, Keming
    • Advances in nano research
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    • v.13 no.2
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    • pp.135-146
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    • 2022
  • The accurate assessment of the performance of nonuniform systems requires a thorough understanding of stability analysis. As a result, the theoretical modeling of the influence of various variables on the performance of small-scale nonuniform structures with conventional and non-conventional geometries is presented in this paper. According to the fundamental computer simulation based on mathematical and mechanical principles, the stability of the nonuniform structures is examined. Thus, a numerical procedure is used to simulate the stability and instability characteristics of the nonuniform small-scale structures via computer aid. Theoretic simulation methods provide a great deal of the design and production of small-scale structures at a low cost compared to experimental simulations. Thus, this paper provides a good presentation of the stability analysis of the nonuniform nanoscale structures with high accuracy without actual experimental.

An improved pushover analysis procedure for multi-mode seismic performance evaluation of bridges : (1) Introduction to numerical model

  • Kwak, Hyo-Gyoung;Shin, Dong-Kyu
    • Structural Engineering and Mechanics
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    • v.33 no.2
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    • pp.215-238
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    • 2009
  • This paper introduces an improved modal pushover analysis (IMPA) which can effectively evaluate the seismic response of multi-span continuous bridge structures on the basis of modal pushover analysis (MPA). Differently from previous modal pushover analyses which cause the numerical unstability because of the occurrence of reversed relation between the pushover load and displacement, the proposed method eliminates this numerical instability and, in advance the coupling effects induced from the direct application of modal decomposition by introducing an identical stiffness ratio for each dynamic mode at the post-yielding stage together with an approximate elastic deformation. In addition to these two introductions, the use of an effective seismic load, calculated from the modal spatial force and applied as the distributed load, makes it possible to predict the dynamic responses of all bridge structures through a simpler analysis procedure than those in conventional modal pushover analyses. Finally, in order to establish validity and applicability of the proposed method, correlation studies between a rigorous nonlinear time history analysis and the proposed method were conducted for multi-span continuous bridges.