• Title/Summary/Keyword: discrete-element

Search Result 686, Processing Time 0.03 seconds

A SYMMETRIC FINITE VOLUME ELEMENT SCHEME ON TETRAHEDRON GRIDS

  • Nie, Cunyun;Tan, Min
    • Journal of the Korean Mathematical Society
    • /
    • v.49 no.4
    • /
    • pp.765-778
    • /
    • 2012
  • We construct a symmetric finite volume element (SFVE) scheme for a self-adjoint elliptic problem on tetrahedron grids and prove that our new scheme has optimal convergent order for the solution and has superconvergent order for the flux when grids are quasi-uniform and regular. The symmetry of our scheme is helpful to solve efficiently the corresponding discrete system. Numerical experiments are carried out to confirm the theoretical results.

ERROR ESTIMATES FOR FULLY DISCRETE MIXED DISCONTINUOUS GALERKIN APPROXIMATIONS FOR PARABOLIC PROBLEMS

  • OHM, MI RAY;LEE, HYUN YOUNG;SHIN, JUN YONG
    • East Asian mathematical journal
    • /
    • v.31 no.5
    • /
    • pp.685-693
    • /
    • 2015
  • In this paper, we introduce fully discrete mixed discontinuous Galerkin approximations for parabolic problems. And we analyze the error estimates in $l^{\infty}(L^2)$ norm for the primary variable and the error estimates in the energy norm for the primary variable and the flux variable.

A Study on Cold Forming of Curved Thick Plate by Reconfigurable Multi-Punch Dies (다점 펀치를 이용한 조선용 곡판 냉간 성형 방법 연구)

  • Ko, Y.H.;Han, M.S.;Han, J.M.;Kim, K.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2008.10a
    • /
    • pp.114-117
    • /
    • 2008
  • Curved thick plate forming in shipbuilding industry is currently performed by a thermal process, called as Line Heating by using gas flame torches. It was examined as an alternative way in this study to manufacture curved thick plates by the multi-punch die forming. Experiments and finite element analyses were conducted to evaluate the feasibility of the reconfigurable discrete die forming to the thick plates. Configuration of the multi-punch dies suitable for multi-curvature was investigated. As a result, single step forming by reconfigurable discrete die with scale factor improved formability.

  • PDF

Development of an Analysis Program for Pedestrian Flow based on the Discrete Element Method (이산요소법을 이용한 보행류 해석 프로그램 개발)

  • Nam, Seong-Won;Kwon, Hyeok-Bin
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.3197-3202
    • /
    • 2007
  • An analysis program for pedestrian flow has been developed to investigate the flow patterns of passenger in railway stations. Analysis algorithms for pedestrian flow based on DEM(Discrete Element Method) are newly developed. There are lots of similarity between particle-laden two phase flow and passenger flow. The velocity component of 1st phase corresponds to the unit vector of calculation cell, each particle to passenger, volume fraction to population density and the particle velocity to the walking velocity, etc. And, the walking velocity of passenger is also represented by the function of population density. Key algorithms are developed to determine the position of passenger, population density and numbering to each passenger. By using the developed program, we compared the simulation results of the effects of the location and size of exit and elapsed time.

  • PDF

Aggregate shape influence on the fracture behaviour of concrete

  • Azevedo, N.Monteiro;Lemos, J.V.
    • Structural Engineering and Mechanics
    • /
    • v.24 no.4
    • /
    • pp.411-427
    • /
    • 2006
  • The Discrete Element Method, DEM, is increasingly used in fracture studies of non-homogeneous continuous media, such as rock and concrete. A 2D circular rigid DEM formulation, developed to model concrete, has been adopted. A procedure developed to generate aggregate particles with a given aspect ratio and shape is presented. The aggregate particles are modelled with macroparticles formed by a group of circular particles that behave as a rigid body. Uniaxial tensile and compression tests performed with circular and non-circular aggregates, with a given aspect ratio, have shown similar values of fracture toughness when adopting uniform strength and elastic properties for all the contacts. Non-circular aggregate assemblies are shown to have higher fracture toughness when different strength and elastic properties are set for the matrix and for the aggregate/matrix contacts.

An Experimental Study on the Pressure Drop and Heat Transfer Performance in Tubes with Three Dimensional Roughness (삼차원 조도관의 압력손실 및 열전달 성능에 대한 실험적 연구)

  • Kim, N.H.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.7 no.2
    • /
    • pp.276-286
    • /
    • 1995
  • In this study, pressure drop and heat transfer coefficients were measured in tubes with three dimensional roughness. Dimples were made by rotating the saw-tooth shaped finning disc on the outer tube surface. Resultant dimple shape was oval. Friction and heat transfer tests were performed with a range of roughness variables-roughness height 'e', axial roughness pitch 'p', circumferential roughness pitch 'z'. Within the test range, tube with e=0.5mm, z=5mm, p=3mm performed best. The efficiency ratio(rati of the heat transfer improvement and the pressure drop increase) of the tube approached 1.0 at low Reynolds number, and it was higher than that of the two-dimensional roughess tube of the same roughness height. Test data were predicted by 'discrete element method'. Results show that discrete element method underpredicts the friction data by 2% to 32%, and overpredicts the heat transfer data by-12% to 113%.

  • PDF

Evaluation of Dynamic Behavior Characteristics of Cheomseongdae Considering Earthquake Load (지진 하중을 고려한 첨성대의 동적 거동 특성 평가)

  • Kim, Ho-Soo;Lee, Ha-Na
    • Journal of Korean Association for Spatial Structures
    • /
    • v.19 no.4
    • /
    • pp.35-44
    • /
    • 2019
  • Recently, the occurrence frequency of earthquake has increased in Korea, and many cultural assets have been damaged. Cheomseongdae is a valuable cultural assets that must be preserved historically and culturally. But, the masonry structure such as Chemseongdae is vulnerable to lateral forces. Therefore, in this study, structural modeling and dynamic analysis are performed to reflect the ground state and structural form of Cheomseongdae. Also, discrete element analysis technique is applied and dynamic behavior characteristics are analyzed according to earthquake load. For this purpose, displacements and stresses according to locations are reviewed and then swelling and distortion are analyzed.

Eigenvalue Analysis of a Blower Impeller Using Cyclic Symmetry (송풍기 임펠러의 순환대칭성을 이용한 고유치해석)

  • 김창부;안영철
    • Journal of KSNVE
    • /
    • v.10 no.3
    • /
    • pp.523-530
    • /
    • 2000
  • In this paper we present an efficient method for finite element vibration analysis of a structure with cyclic symmetry and applied it to calculating the natural vibration characteristics for a blower impeller. Blower impeller having a cyclically symmetric structure is composed of circumferentially repeated substructures., The whole-structure is partitioned into substructures and then finite element vibration analysis is performed for a substructure using transformed equations for each number of nodal diameter which are derived from discrete Fourier transform in consideration of the cyclic symmetry. natural vibration characteristics for three kinds of models which are blower impeller without support ring with small support ring and with large support ring are numerically analyzed and compared. Accuracy and efficiency of the present method are verified by comparison of results of the analysis with substructure and with whole-structure. Also the results of the analysis by cyclic symmetry module(SOL 115) of MSC/NASTRAN are presented and compared.

  • PDF

A Method for Finite Element Vibration Analysis of Rotating Structures with Cyclic Symmetry (회전하는 순환대칭 구조물의 유한요소 진동해석 기법)

  • 김창부;심수섭
    • Journal of KSNVE
    • /
    • v.8 no.6
    • /
    • pp.1150-1157
    • /
    • 1998
  • In this Paper, we present an efficient method for finite element vibration analysis of constantly rotating structures with cyclic symmetry, which are deformed to some considerable extent by centrifugal force, Coriolis force and operating load, and vibrate due to several types of exciting forces. A structure with cyclic symmetry is composed of circumferentially repeated substructures with the same geometry. Being only one substructure modeled. the dynamic characteristics of the structure can be analyzed systematically. rapidly and exactly using discrete Fourier transform by means of a computer with small memory.

  • PDF

Response of a rocksalt crystal to electromagnetic wave modeled by a multiscale field theory

  • Lei, Yajie;Lee, James D.;Zeng, Xiaowei
    • Interaction and multiscale mechanics
    • /
    • v.1 no.4
    • /
    • pp.467-476
    • /
    • 2008
  • In this work, a nano-size rocksalt crystal (magnesium oxide) is considered as a continuous collection of unit cells, while each unit cell consists of discrete atoms; and modeled by a multiscale concurrent atomic/continuum field theory. The response of the crystal to an electromagnetic (EM) wave is studied. Finite element analysis is performed by solving the governing equations of the multiscale theory. Due to the applied EM field, the inhomogeneous motions of discrete atoms in the polarizable crystal give rise to the change of microstructure and the polarization wave. The relation between the natural frequency of this system and the driving frequency of the applied EM field is found and discussed.