• Title/Summary/Keyword: Mesh

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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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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.

A mesh generation based on the pollution error (Pollution 오차를 이용한 요소생성에 관한 연구)

  • 유형선;편수범
    • Journal of the Korean Society for Railway
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    • v.2 no.3
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    • pp.46-53
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    • 1999
  • In this paper, made was a study on a mesh generation method based on the pollution error. This method is designed for the control of the pollution error in any patch of elements of interest. It is a well-known fact that the pollution error estimates are much more than the local one. When the pollution error is significant, nothing can be said about the reliability of any estimator based on local computations in the patch. Reliable a posteriori error estimation is possible by controlling the pollution error in the patch through proper design of the mesh outside the patch. This design is possible by equally distributing the pollution error indicators over the mesh outside the patch. The mesh generated from the conventional feedback pollution-adaptive mesh generation algorithm needs many iterations. Therefore, the solution time is significant. But the remeshing scheme in the proposed method was used here. It was shown that the pollution-adaptive mesh improves the E.I., simply denoted as Effectivity Index, on the patch of interest, and the pollution error reduces less than the local error.

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A New Indirct Quadrilateral Mesh Generation Scheme from Background Triangular Mesh (삼각형 배경 요소를 이용한 새로운 사각형 요소망 생성법)

  • Kwon K.Y.;Park J.M.;Lee B.C.;Chae S.W.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.2
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    • pp.107-114
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    • 2006
  • A new quadrilateral mesh generation technique from an existing triangle mesh is proposed in this paper. The proposed method is based on advancing front method and zero-thickness layer. Beginning with an initial triangular mesh, boundary triangular elements are removed and quadrilateral elements with zero thickness are generated. A quality of quadrilateral elements is improved during a mesh smoothing process. Until all initial triangular elements are removed, this procedure is repeated. Sample meshes are constructed to demonstrate the mesh generation capability of proposed algorithm.

Tetrahedral Mesh Generation by Using the Advancing-Front Method and the Optimal Surface Triangular Mesh Generation Technique (전진경계기법과 최적 표면 삼각형 요소망 생성 기법을 이용한 사면체 요소망의 생성)

  • Lee M.C.;Joun M.S.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.2
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    • pp.138-147
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    • 2006
  • A systematic approach to tetrahedral element or mesh generation, based on an advancing-front method and an optimal triangular mesh generation technique on the surface, is presented in this paper. The possible internal nodes are obtained by the octree-decomposition scheme. The initial tetrahedral mesh system is constructed by the advancing-front method and then it is improved by the quality improvement processes including mesh swapping and nodal smoothing. The approach is evaluated by investigating the normalized length, the normalized volume, the dihedral angle and the normalized quality

Progressive Compression of 3D Mesh Geometry Using Sparse Approximations from Redundant Frame Dictionaries

  • Krivokuca, Maja;Abdulla, Waleed Habib;Wunsche, Burkhard Claus
    • ETRI Journal
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    • v.39 no.1
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    • pp.1-12
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    • 2017
  • In this paper, we present a new approach for the progressive compression of three-dimensional (3D) mesh geometry using redundant frame dictionaries and sparse approximation techniques. We construct the proposed frames from redundant linear combinations of the eigenvectors of a combinatorial mesh Laplacian matrix. We achieve a sparse synthesis of the mesh geometry by selecting atoms from a frame using matching pursuit. Experimental results show that the resulting rate-distortion performance compares favorably with other progressive mesh compression algorithms in the same category, even when a very simple, sub-optimal encoding strategy is used for the transmitted data. The proposed frames also have the desirable property of being able to be applied directly to a manifold mesh having arbitrary topology and connectivity types; thus, no initial remeshing is required and the original mesh connectivity is preserved.

AUTOMATED QUADRILATERAL SURFACE MESH GENERATION ON THREE-DIMENSIONAL SURFACES (3차원 물체 표면상의 비정렬 사변형 격자의 자동 생성 기법)

  • Won, J.H.;Kim, B.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.70-73
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    • 2006
  • Mesh generation for the region of interest is prerequisite for numerical analysis of governing partial differential equations describing phenomena with proper physic. Mesh generation is, however, usually considered as a major obstacle for a routine application of numerical approaches in Engineering applications. Therefore automatic mesh generation is highly pursued. In this paper automated quadrilateral surface mesh generation is proposed. According to the present method, Cartesian cells of proper resolution for a region bounding the whole region of interest are first generated and the interior cells are identified. Then projecting their surface meshes onto the boundary surfaces gives surface mesh consisting of quadrilateral cells. This method has been implemented as an application program, and example cases are given.

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Synthesis of Dye-sensitized Solar Cells with Titanium Mesh Electrode (티타늄 메쉬 전극구조를 이용한 염료 태양전지 제작)

  • Paeng, Sung-Hwan;Kim, Doo-Hwan;Park, Min-Woo;Sung, Youl-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2436-2440
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    • 2009
  • In this work, TCO-less dye-sensitized solar cells (DSCs) using Ti-mesh layer is fabricated for high-efficient low-cost solar cell application. The Ti-mesh metal can replace TCO in the photo-electrode part of DSCs, thus the cell structure is composed of a glass/dye sensitized TiO2 particle/ Ti-mesh layer/electrolyte/Pt sputtered counter electrode/ glass. The Ti-mesh electrode with high conductivity can collect electrons from the $TiO_2$ layer and allows the ionic diffusion of $I^-/I_3^-$ through the mesh hole. Thin Ti-mesh ($\sim40{\mu}m$ in thickness) electrode material is processed using rapid prototype method. The efficiency of prepared TCO-less DSCs sample is about 1.45 % ((ff: 0.5, Voc: 0.52V, Jsc: 5.55 $mA/cm^2$).

Geographic information 3D Synthetic Model based on Regular Mesh (Regular Mesh 기반 지리정보 3D 합성모델)

  • Jung, Ji-Hwan;Hwang, Sun-Myung;Kim, Sung-Ho
    • Journal of Advanced Navigation Technology
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    • v.15 no.4
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    • pp.616-625
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    • 2011
  • There are two representative geometry rendering methods. One is Geometry Clipmaps, another is ROAM 2.0. We propose an extended Geometry Clipmaps algorithm which does not focus on CPU operation but the GPU for faster and wider visibility area. The extended algorithm presents mesh configuration method of each level by LOD, how to configurate Mesh network between levels, mesh block method for rendering optimization using VFC, and image mapping method to get high resolution up to 1 m.

A Numerical Analysis on Flows Around a Moving Body Using a Mesh Transformation Method (격자변환기법을 이용한 이동물체 주위의 유동해석)

  • Kim, Tae-Gyun;Heo, Nam-Geon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.4
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    • pp.593-599
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    • 2001
  • A flow analysis is performed in the present study for the moving body problem by proposing a mesh transformation method for the movement of the body in the fluid medium. Unlike other moving mesh techniques, a mesh itself is not moving but changes its property as time marches in a mesh transformation method. The flow field results are compared with those by other moving mesh technique, and showed good agreements. The movement of a floatable body in the flow field caused by the moving body is also studied in the present study by using a mesh transformation technique and a fluid/structure interaction method.