• Title/Summary/Keyword: h-Refinement

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Aerodynamic Analysis of Passenger Car with High Accuracy Using H-refinement (H-분할법을 이용한 승용차의 고정도 공력특성 해석)

  • 김태훈;정수진
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.5
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    • pp.33-41
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    • 2000
  • Three dimensional flow fields around passenger car body was computed by PAM-FLOW, well-known and validated computer program for thermal and fluid analysis. Regarding the computational method, a Navier-Stokes solver based on finite element method with various turbulent models and adaptive grid technique (H-refinement)was adopted. The results were physically reasonable and compared with experimental data, giving good agreement. It was found that three dimensional flow simulation with H-refinement technique had potential for prediction of low fie이 around vehicle and the ability to predict vortex in the wake, which is vital for CFD to be used for automobile aerodynamic calculation.

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Adaptive Mesh h-Refinement using Compatible Transition Elements in Plate Bending Problems (평판휨 문제에서 적합변이요소를 이용한 적응적 체눈 h-세분화)

  • 최창근;박용명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.10a
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    • pp.9-15
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    • 1990
  • In this study, an adaptive mesh h-refinement procedure was presented in plate bending problems. By introducing the transition elements for the procedure, same drawbacks due to the irregular nodes are eliminated which are generated in the consequence of local mesh refinement in common adaptive h-version performed by single type of quadrilateral elements. For the above objective, compatible 5-node through 7-node transition plate bending elements are developed by including variable number of midside nodes. Using the Zienkiewicn-Zhu error estimator, some numerical examples are presented to show the effectiveness of the adaptive h-refinement using the transition elements.

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An Adaptive Construction of Quadrilateral Finite Elements Using H-Refinement (h-분할법에 의한 사각형 유한요소망의 적응적 구성)

  • 채수원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.11
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    • pp.2932-2943
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    • 1994
  • An efficient approach to the automatic construction of effective quadrilateral finite element meshes for two-dimensional analysis is presented. The procedure is composed of, firstly, an initial mesh generation and, secondly, an h-version of adaptive refinement based on error analysis. As for an initial mesh generation scheme, a modified looping algorithm has been employed. For the adaptive refinement process, an error indicator obtained by computing the residual error of the equilibrium equations in the energy norm with a relaxation factor has been employed. Examples of mesh generation and self-adaptive mesh improvements are given. These example solutions demonstrate that an effective mesh for a given error tolerance can be obtained in a few steps of the analysis processes.

A new adaptive mesh refinement strategy based on a probabilistic error estimation

  • Ziaei, H.;Moslemi, H.
    • Structural Engineering and Mechanics
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    • v.74 no.4
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    • pp.547-557
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    • 2020
  • In this paper, an automatic adaptive mesh refinement procedure is presented for two-dimensional problems on the basis of a new probabilistic error estimator. First-order perturbation theory is employed to determine the lower and upper bounds of the structural displacements and stresses considering uncertainties in geometric sizes, material properties and loading conditions. A new probabilistic error estimator is proposed to reduce the mesh dependency of the responses dispersion. The suggested error estimator neglects the refinement at the critical points with stress concentration. Therefore, the proposed strategy is combined with the classic adaptive mesh refinement to achieve an optimal mesh refined properly in regions with either high gradients or high dispersion of the responses. Several numerical examples are illustrated to demonstrate the efficiency, accuracy and robustness of the proposed computational algorithm and the results are compared with the classic adaptive mesh refinement strategy described in the literature.

Single Level Adaptive hp-Refinement using Integrals of Legendre Shape Function (적분형 르장드르 형상함수를 이용한 단일 수준 적응적 hp-체눈 세분화)

  • Jo, Jun-Hyung;Yoo, Hyo-Jin;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.3
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    • pp.331-340
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    • 2010
  • The basic theory and application of new adaptive finite element algorithm have been proposed in this study including the adaptive hp-refinement strategy, and the effective method for constructing hp-approximation. The hp-adaptive finite element concept needs the integrals of Legendre shape function, nonuniform p-distribution, and suitable constraint of continuity in conjunction with irregular node connection. The continuity of hp-adaptive mesh is an important problem at the common boundary of element interface. To solve this problem, the constraint of continuity has been enforced at the common boundary using the connectivity mapping matrix. The effective method for constructing of the proposed algorithm has been developed by using hierarchical nature of the integrals of Legendre shape function. To verify the proposed algorithm, the problem of simple cantilever beam has been solved by the conventional h-refinement and p-refinement as well as the proposed hp-refinement. The result obtained by hp-refinement approach shows more rapid convergence rate than those by h-refinement and p-refinement schemes. It it noted that the proposed algorithm may be implemented efficiently in practice.

On the Structural Analysis Using the Isogeometry Analysis Approach (등기하 해석법을 이용한 구조해석)

  • Lee, Joo-Sung;Chang, Kyoung-Sik;Roh, Myoung-Il
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.1
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    • pp.55-60
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    • 2011
  • In the present work, isogeometric analysis in linear elasticity problem is conducted using the basis functions from NURBS. The objectives of isogeometric analysis introduced is to integrate both geometric modeling(CAD) and computational analysis(CAE), and this can be accomplished from direct usage of geometric modeling by NURBS as the computational mesh. The merit of the isogeometry analysis is that NURBS surface are able to represent exact geometry from the control points and knot vectors, and also subsequent refinement is relatively simple relatively. In order to verify the computer codes developed in this study, it has been applied to two structural models of which geometry are simple ; 1) circular cylinder subjected to the constant internal pressure loading, 2) square plate with circular hole at center subjected to uniform tension. The exact solutions of these two models are available. Convergence of the approximate solutions by the present code for the isogeometry analysis are investigated by mesh refinement with inserting knots (h-refinement) and by mesh refinement with order elevation of the basis functions (p-refinement).

The Automatic Mesh Refinement of FEM and Posteriori Error Estimation (유한요소의 자동 재분할과 사후오차평가)

  • Kim, B. I.;Bai, S. H.;Chang, C. D.
    • Journal of Korean Port Research
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    • v.10 no.2
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    • pp.61-68
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    • 1996
  • The main problems in structural analysis by Finite Eelement Method are difficulty in making data file and error estimation. For decreasing these problems' pays. have been suggesting the adaptive mesh refinement and error estimation method. Posteriory error estimation methods suggested by Jang[1], Babuska[2,3], Ohtsubo[8,9], and this paper. Comparing these methods and examine their properties. According this paper, In the problem supposed having singularity, the method suggested by this paper is good, But the problem supposed having no singularity, the method suggested by Jang[1] is good. For decreasing the effect of initial mesh in p-refinement, make application h-refinement at first and apply p-refinement, and confine polynomial's degree to two, for making program simply by plural mesh models are not needed.

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An anisotropic mesh refinement for an unstructured finite volume method (비정렬 유한 체적법을 위한 비등방 격자 미세화 기법)

  • Lee K. S.;Baek J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.77-82
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    • 2004
  • A new anisotropic mesh refinement method is proposed. The new method is based on a simple second order interpolation error indicator. Therefore, it is methodologically direct and intuitive as compared with traditional anisotropic refinement strategies. Moreover, it does not depend on the mesh type. The error indicator is face-wisely calculated for all faces in a mesh and the cell refinement type is determined by the configuration of face markings with a given threshold. For the sake of simplicity, an application for a poisson equation on a triangle mesh is considered. The error field and resultant mesh refinement pattern are compared and effects of the threshold selection are discussed. Applying anisotropic refinement with various thresholds, we observed higher convergence rates than those in the uniform refinement cases.

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The Shear Texture Development and The Grain Refinement in Aluminum Alloy Sheets by Asymmetric Rolling (비대칭압연에 의한 알루미늄합금판의 전단집합조직 형성 및 결정립 미세화)

  • 이종국;이동녕
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.92-95
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    • 2003
  • Asymmetric rolling of AA1050 Al alloy sheets was performed to obtain the shear textures for improving the deep drawability and the grain refinement. The effect of roll velocity ratio on the texture and the grain refinement of 50% asymmetrically rolled sheets was studied. The textures of the asymmetrically rolled sheets after annealing at 400$^{\circ}C$ for 1 h was also investigated.

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Variable-node axisymmetric solid element and its application to adaptive mesh refinement

  • Choi, Chang-Koon;Lee, Eun-Jin;Lee, Wan-Hoon
    • Structural Engineering and Mechanics
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    • v.11 no.4
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    • pp.443-460
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    • 2001
  • This paper presents an effective application of a variable-node axisymmetric solid element designated as AQV (Axisymmetric Quadrilateral Variable-node element). The variable-node element with physical midside nodes helps to overcome some problems in connecting the different layer patterns on a quadrilateral mesh in the adaptive h-refinement. This element alleviates the necessity of imposing displacement constraints on irregular (hanging) nodes in order to enforce the inter-element compatibility. Therefore, the elements with variable mid-side nodes can be used effectively in the local mesh refinement for the axisymmetric structures which have stress concentrations. A modified Gaussian quadrature should be adopted to evaluate the stiffness matrices of the variable-node elements mainly because of the slope discontinuity of assumed displacement within the elements. Some numerical examples show the usefulness of variable-node axisymmetric elements in the practical application.