Table of Content

Integration of Geometric Modeling and Numerical Simulation

Submission Deadline: 31 December 2022 Submit to Special Issue

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


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


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

Published Papers

  • Open Access


    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
    (This article belongs to this 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 the same accuracy. A numerical… More >

  • Open Access


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

    Jingwen Ren, Hongwei Lin
    CMES-Computer Modeling in Engineering & Sciences
    (This article belongs to this 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 physical domain. A new perspective… More >

  • Open Access


    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 this 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 stability and applicability of the… More >

    Graphic Abstract

    Skeleton-Based Volumetric Parameterizations for Lattice Structures

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