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Integration of Geometric Modeling and Numerical Simulation

Submission Deadline: 31 December 2022 (closed) View: 204

Guest Editors

Prof. Gang Xu, Hangzhou Dianzi University, China
Prof. Stéphane P. A Bordas, University of Luxembourg, Luxembourg
Prof. Xiaodong Wei, Shanghai Jiao Tong University, China

Summary

In the past decade, the integration of Geometric Modeling technology and Numerical Simulation method, such as the iso-geometric analysis and its variants, has been an active area of research, due to their advantages in many aspects such as high-order accuracy, consistent geometric data representation as well as efficient refinement operation. This integration not only provides powerful numerical simulation approaches for industrial applications, but also opens new research direction in the field of geometric modeling and computer graphics. This special issue focuses on the integration of geometric modeling methods and numerical analysis theory, while also addressing the application of this integration. In addition to the strong focus in isogeometric analysis and its engineering application, a special emphasis will be given to geometric modeling and mesh generation issues for numerical simulation.

 

Potential topics include, but are not limited to:

• Spline curve and surface modeling

• Trivariate volumetric modeling

• Subdivision surface/volumes

• Mesh generation for simulation

• High-order mesh generation

• Volumetric parameterization

• Analysis-suitable parameterization

• Analysis-suitable spline spaces

• Generalized iso-geometric analysis methods

• Refinement methods in iso-geometric analysis

• Numerical analysis of iso-geometric methods

• Fast iso-geometric solver

• Engineering application with iso-geometric analysis

• High-order finite element method for PDEs

• Meshless methods in computational mechanics

• Deep-learning methods in computational mechanics

• Iso-geometric boundary element methods

• Iso-geometric shape optimization methods

• Iso-geometric topology optimization methods

Keywords

Geometric modeling; mesh generation, numerical simulation; isogeometric analysis; shape optimization; topology optimization

Published Papers

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  • Open Access

    ARTICLE

    The Weighted Basis for PHT-Splines

    Zhiguo Yong, Hongmei Kang, Falai Chen
    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.1, pp. 739-760, 2024, DOI:10.32604/cmes.2023.027171
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract PHT-splines are defined as polynomial splines over hierarchical T-meshes with very efficient local refinement properties. The original PHT-spline basis functions constructed by the truncation mechanism have a decay phenomenon, resulting in numerical instability. The non-decay basis functions are constructed as the B-splines that are defined on the 2 × 2 tensor product meshes associated with basis vertices in Kang et al., but at the cost of losing the partition of unity. In the field of finite element analysis and topology optimization, forming the partition of unity is the default ingredient for constructing basis functions of… More >

    Graphic Abstract

    The Weighted Basis for PHT-Splines

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  • Open Access

    ARTICLE

    Parameterization Transfer for a Planar Computational Domain in Isogeometric Analysis

    Jinlan Xu, Shuxin Xiao, Gang Xu, Renshu Gu
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1957-1973, 2023, DOI:10.32604/cmes.2023.028665
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract In this paper, we propose a parameterization transfer algorithm for planar domains bounded by B-spline curves, where the shapes of the planar domains are similar. The domain geometries are considered to be similar if their simplified skeletons have the same structures. One domain we call source domain, and it is parameterized using multi-patch B-spline surfaces. The resulting parameterization is C1 continuous in the regular region and G1 continuous around singular points regardless of whether the parameterization of the source domain is C1/G1 continuous or not. In this algorithm, boundary control points of the source domain… More >

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  • Open Access

    ARTICLE

    An Intelligent Identification Approach of Assembly Interface for CAD Models

    Yigang Wang, Hong Li, Wanbin Pan, Weijuan Cao, Jie Miao, Xiaofei Ai, Enya Shen
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 859-878, 2023, DOI:10.32604/cmes.2023.027320
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract Kinematic semantics is often an important content of a CAD model (it refers to a single part/solid model in this work) in many applications, but it is usually not the belonging of the model, especially for the one retrieved from a common database. Especially, the effective and automatic method to reconstruct the above information for a CAD model is still rare. To address this issue, this paper proposes a smart approach to identify each assembly interface on every CAD model since the assembly interface is the fundamental but key element of reconstructing kinematic semantics. First,… More >

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    641

  • Open Access

    ARTICLE

    Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross Field

    Na Lei, Ping Zhang, Xiaopeng Zheng, Yiming Zhu, Zhongxuan Luo
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 843-857, 2023, DOI:10.32604/cmes.2023.027296
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract We propose a new method to generate surface quadrilateral mesh by calculating a globally defined parameterization with feature constraints. In the field of quadrilateral generation with features, the cross field methods are well-known because of their superior performance in feature preservation. The methods based on metrics are popular due to their sound theoretical basis, especially the Ricci flow algorithm. The cross field methods’ major part, the Poisson equation, is challenging to solve in three dimensions directly. When it comes to cases with a large number of elements, the computational costs are expensive while the methods… More >

    Graphic Abstract

    Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross Field

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    767

  • Open Access

    ARTICLE

    New Soliton Wave Solutions to a Nonlinear Equation Arising in Plasma Physics

    M. B. Almatrafi, Abdulghani Alharbi
    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 827-841, 2023, DOI:10.32604/cmes.2023.027344
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract The extraction of traveling wave solutions for nonlinear evolution equations is a challenge in various mathematics, physics, and engineering disciplines. This article intends to analyze several traveling wave solutions for the modified regularized long-wave (MRLW) equation using several approaches, namely, the generalized algebraic method, the Jacobian elliptic functions technique, and the improved Q-expansion strategy. We successfully obtain analytical solutions consisting of rational, trigonometric, and hyperbolic structures. The adaptive moving mesh technique is applied to approximate the numerical solution of the proposed equation. The adaptive moving mesh method evenly distributes the points on the high error areas. More >

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    1610

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    726

  • Open Access

    ARTICLE

    AWSD: An Aircraft Wing Dataset Created by an Automatic Workflow for Data Mining in Geometric Processing

    Xiang Su, Nan Li, Yuedi Hu, Haisheng Li
    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2935-2956, 2023, DOI:10.32604/cmes.2023.026083
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract This paper introduces an aircraft wing simulation data set (AWSD) created by an automatic workflow based on creating models, meshing, simulating the wing flight flow field solution, and parameterizing solution results. AWSD is a flexible, independent wing collection of simulations with specific engineering requirements. The data set is applicable to handle computer geometry processing tasks. In contrast to the existing 3D model data set, there are some advantages the scale of this data set is not limited by the collection source, the data files have high quality, no defects, redundancy, and other problems, and the… More >

    Graphic Abstract

    AWSD: An Aircraft Wing Dataset Created by an Automatic Workflow for Data Mining in Geometric Processing

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    1297

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    1085

  • Open Access

    ARTICLE

    New Perspective to Isogeometric Analysis: Solving Isogeometric Analysis Problem by Fitting Load Function

    Jingwen Ren, Hongwei Lin
    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2957-2984, 2023, DOI:10.32604/cmes.2023.025983
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract Isogeometric analysis (IGA) is introduced to establish the direct link between computer-aided design and analysis. It is commonly implemented by Galerkin formulations (isogeometric Galerkin, IGA-G) through the use of nonuniform rational B-splines (NURBS) basis functions for geometric design and analysis. Another promising approach, isogeometric collocation (IGA-C), working directly with the strong form of the partial differential equation (PDE) over the physical domain defined by NURBS geometry, calculates the derivatives of the numerical solution at the chosen collocation points. In a typical IGA, the knot vector of the NURBS numerical solution is only determined by the… More >

    Graphic Abstract

    New Perspective to Isogeometric Analysis: Solving Isogeometric Analysis Problem by Fitting Load Function

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    1212

  • Open Access

    ARTICLE

    Automatic Extraction of the Sparse Prior Correspondences for Non-Rigid Point Cloud Registration

    Yan Zhu, Lili Tian, Fan Ye, Gaofeng Sun, Xianyong Fang
    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1835-1856, 2023, DOI:10.32604/cmes.2023.025662
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract Non-rigid registration of point clouds is still far from stable, especially for the largely deformed one. Sparse initial correspondences are often adopted to facilitate the process. However, there are few studies on how to build them automatically. Therefore, in this paper, we propose a robust method to compute such priors automatically, where a global and local combined strategy is adopted. These priors in different degrees of deformation are obtained by the locally geometrical-consistent point matches from the globally structural-consistent region correspondences. To further utilize the matches, this paper also proposes a novel registration method based More >

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    762

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  • Open Access

    ARTICLE

    Isogeometric Analysis of Longitudinal Displacement of a Simplified Tunnel Model Based on Elastic Foundation Beam

    Zhihui Xiong, Lei Kou, Jinjie Zhao, Hao Cui, Bo Wang
    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 803-824, 2023, DOI:10.32604/cmes.2023.024833
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract Serious uneven settlement of the tunnel may directly cause safety problems. At this stage, the deformation of the tunnel is predicted and analyzed mainly by numerical simulation, while the commonly used finite element method (FEM) uses low-order continuous elements. Therefore, the accuracy of tunnel settlement prediction is not enough. In this paper, a method is proposed to study the vertical deformation of the tunnel by using the combination of isogeometric analysis (IGA) and Bézier extraction operator. Compared with the traditional IGA method, this method can be easily integrated into the existing FEM framework, and ensure… More >

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    1624

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    800

  • Open Access

    ARTICLE

    A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines

    Hanjiang Chang, Qiang Tian, Haiyan Hu
    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 825-860, 2023, DOI:10.32604/cmes.2023.022774
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract To model a multibody system composed of shell components, a geometrically exact Kirchhoff-Love triangular shell element is proposed. The middle surface of the shell element is described by using the DMS-splines, which can exactly represent arbitrary topology piecewise polynomial triangular surfaces. The proposed shell element employs only nodal displacement and can automatically maintain C1 continuity properties at the element boundaries. A reproducing DMS-spline kernel skill is also introduced to improve computation stability and accuracy. The proposed triangular shell element based on reproducing kernel DMS-splines can achieve an almost optimal convergent rate. Finally, the proposed shell element More >

    Graphic Abstract

    A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines

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    1142

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    734

  • Open Access

    ARTICLE

    Skeleton-Based Volumetric Parameterizations for Lattice Structures

    Long Chen, Shuxun Liang, Nan Yan, Xiangqian Yang, Baotong Li
    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 687-709, 2023, DOI:10.32604/cmes.2022.021986
    （This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
    Abstract Lattice structures with excellent physical properties have attracted great research interest. In this paper, a novel volume parametric modeling method based on the skeleton model is proposed for the construction of three-dimensional lattice structures. The skeleton model is divided into three types of nodes. And the corresponding algorithms are utilized to construct diverse types of volume parametric nodes. The unit-cell is assembled with distinct nodes according to the geometric features. The final lattice structure is created by the periodic arrangement of unit-cells. Several different types of volume parametric lattice structures are constructed to prove the More >

    Graphic Abstract

    Skeleton-Based Volumetric Parameterizations for Lattice Structures

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    1606

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    871

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