Guest Editors
Prof. Haojie Lian, Taiyuan University of Technology, China
Dr. Chensen Ding, University of Exeter, UK
Prof. Stéphane P.A. Bordas, University of Luxembourg, Luxembourg
Summary
The isogeometric boundary element method refers to the numerical simulation technique that employs the basis functions used for building Computer-Aided Design (CAD) models to discretize Boundary Integral Equations in Computer-Aided Engineering (CAE). The isogeometric boundary element method is based on boundary-representation like CAD, and thus it can immediately utilize the surface data of CAD models without volume parameterization. As such, the isogeometric boundary element method achieves closer integration of CAD and CAE compared to the isogeometric analysis in the context of the finite element method. Additionally, the isogeometric boundary element method inherits the advantages of conventional boundary element methods in infinite domain, moving boundary problems, etc. Since its inception, the isogeometric boundary element method has drawn extensive attention and exhibits its potential in computational mechanics. However, many issues remain unresolved in both method development and engineering applications. Therefore, we initiate this special issue on the recent developments, challenges and opportunities of the isogeometric boundary element method and its potential applications in different areas.
Topics of interest include but are not restricted to:
1. Novel CAD modeling techniques in isogeometric boundary element methods.
2. Advanced engineering applications using isogeometric boundary element methods.
3. Structural optimization and stochastic analysis with isogeometric boundary element methods.
4. Accelerating techniques for medium and large scale problems.
5. Coupling finite element and boundary element methods in the isogeometric analysis framework.
6. Complex geometries and industrial applications.
7. Error estimation and self-adaptive refinement in isogeometric boundary element methods.
8. Combination of isogeometric boundary element methods with machine learning techniques.
9. The isogeometric analysis combined with other types of dimensionality reduction methods.
Keywords
Isogeometric analysis, Boundary element method, CAE, CAD, Dimensionality reduction
Published Papers
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Open Access
ARTICLE
Panel Acoustic Contribution Analysis in Automotive Acoustics Using Discontinuous Isogeometric Boundary Element Method
Yi Sun, Chihua Lu, Zhien Liu, Menglei Sun, Hao Chen
Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2307-2330, 2023, DOI:10.32604/cmes.2023.025313
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract In automotive industries, panel acoustic contribution analysis (PACA) is used to investigate the contributions of the body panels to the acoustic pressure at a certain point of interest. Currently, PACA is implemented mostly by either experiment-based methods or traditional numerical methods. However, these schemes are effort-consuming and inefficient in solving engineering problems, thereby restraining the further development of PACA in automotive acoustics. In this work, we propose a PACA scheme using discontinuous isogeometric boundary element method (IGABEM) to build an easily implementable and efficient method to identify the relative acoustic contributions of each automotive body panel. Discontinuous IGABEM is more…
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Open Access
ARTICLE
Explicit Isogeometric Topology Optimization Method with Suitably Graded Truncated Hierarchical B-Spline
Haoran Zhu, Xinhao Gao, Aodi Yang, Shuting Wang, Xianda Xie, Tifan Xiong
Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1435-1456, 2023, DOI:10.32604/cmes.2022.023454
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract This work puts forward an explicit isogeometric topology optimization (ITO) method using moving morphable
components (MMC), which takes the suitably graded truncated hierarchical B-Spline based isogeometric analysis
as the solver of physical unknown (SGTHB-ITO-MMC). By applying properly basis graded constraints to the
hierarchical mesh of truncated hierarchical B-splines (THB), the convergence and robustness of the SGTHB-ITOMMC are simultaneously improved and the tiny holes occurred in optimized structure are eliminated, due to
the improved accuracy around the explicit structural boundaries. Moreover, an efficient computational method is
developed for the topological description functions (TDF) of MMC under the admissible hierarchical mesh, which…
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Graphic Abstract
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Open Access
ARTICLE
An Isogeometric Cloth Simulation Based on Fast Projection Method
Xuan Peng, Chao Zheng
Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 1837-1853, 2023, DOI:10.32604/cmes.2022.022367
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract A novel continuum-based fast projection scheme is proposed for cloth simulation. Cloth geometry is described by NURBS, and the dynamic response is modeled by a displacement-only Kirchhoff-Love shell element formulated directly on NURBS geometry. The fast projection method, which solves strain limiting as a constrained Lagrange problem, is extended to the continuum version. Numerical examples are studied to demonstrate the performance of the current scheme. The proposed approach can be applied to grids of arbitrary topology and can eliminate unrealistic over-stretching efficiently if compared to spring-based methodologies.
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Open Access
ARTICLE
Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method
Jintao Liu, Juan Zhao, Xiaowei Shen
Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 981-1003, 2023, DOI:10.32604/cmes.2022.021641
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract In this work, an acoustic topology optimization method for structural surface design covered by porous materials is proposed. The analysis of acoustic problems is performed using the isogeometric boundary element method. Taking the element density of porous materials as the design variable, the volume of porous materials as the constraint, and the minimum sound pressure or maximum scattered sound power as the design goal, the topology optimization is carried out by solid isotropic material with penalization (SIMP) method. To get a limpid 0–1 distribution, a smoothing Heaviside-like function is proposed. To obtain the gradient value of the objective function, a…
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Open Access
ARTICLE
Optimization Analysis of the Mixing Chamber and Diffuser of Ejector Based on Fano Flow Model
Lixing Zheng, Weibo Wang, Yiyan Zhang, Lingmei Wang, Wei Lu
Computer Modeling in Engineering & Sciences, Vol.133, No.1, pp. 153-170, 2022, DOI:10.32604/cmes.2022.021235
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract An improved model to calculate the length of the mixing chamber of the ejector was proposed on the basis of the Fano flow model, and a method to optimize the structures of the mixing chamber and diffuser of the ejector was put forward. The accuracy of the model was verified by comparing the theoretical results calculated using the model to experimental data reported in literature. Variations in the length of the mixing chamber
Lm and length of the diffuser
Ld with respect to variations in the outlet temperature of the ejector
Tc, outlet pressure of the ejector
pc, and the…
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Open Access
ARTICLE
Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem
Yongsong Li, Xiaomeng Yin, Yanming Xu
Computer Modeling in Engineering & Sciences, Vol.132, No.2, pp. 471-488, 2022, DOI:10.32604/cmes.2022.020201
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract The isogeometric boundary element technique (IGABEM) is presented in this study for steady-state inhomogeneous heat conduction analysis. The physical unknowns in the boundary integral formulations of the governing
equations are discretized using non-uniform rational B-spline (NURBS) basis functions, which are utilized to
build the geometry of the structures. To speed up the assessment of NURBS basis functions, the B´ezier extraction
approach is used. To solve the extra domain integrals, we use a radial integration approach. The numerical examples
show the potential of IGABEM for dimension reduction and smooth integration of CAD and numerical analysis.
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Open Access
ARTICLE
A Cell-Based Linear Smoothed Finite Element Method for Polygonal Topology Optimization
Changkye Lee, Sundararajan Natarajan, Seong-Hoon Kee, Jurng-Jae Yee
Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1615-1634, 2022, DOI:10.32604/cmes.2022.020377
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract The aim of this work is to employ a modified cell-based smoothed finite element method (S-FEM) for topology
optimization with the domain discretized with arbitrary polygons. In the present work, the linear polynomial basis
function is used as the weight function instead of the constant weight function used in the standard S-FEM. This
improves the accuracy and yields an optimal convergence rate. The gradients are smoothed over each smoothing
domain, then used to compute the stiffness matrix. Within the proposed scheme, an optimum topology procedure
is conducted over the smoothing domains. Structural materials are distributed over each smoothing domain and…
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Open Access
ARTICLE
Isogeometric Analysis with Local Adaptivity for Vibration of Kirchhoff Plate
Peng Yu, Weijing Yun, Junlei Tang, Sheng He
Computer Modeling in Engineering & Sciences, Vol.131, No.2, pp. 949-978, 2022, DOI:10.32604/cmes.2022.018596
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract Based on our proposed adaptivity strategy for the vibration of Reissner–Mindlin plate, we develop it to apply for the vibration of Kirchhoff plate. The adaptive algorithm is based on the Geometry-Independent Field approximaTion (GIFT), generalized from Iso-Geometric Analysis (IGA), and it can characterize the geometry of the structure with NURBS (Non-Uniform Rational B-Splines), and independently apply PHT-splines (Polynomial splines over Hierarchical T-meshes) to achieve local refinement in the solution field. The MAC (Modal Assurance Criterion) is improved to locate unique, as well as multiple, modal correspondence between different meshes, in order to deal with error estimation. Local adaptivity is carried…
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Open Access
ARTICLE
Noise Pollution Reduction through a Novel Optimization Procedure in Passive Control Methods
Haojie Lian, Leilei Chen, Xiao Lin, Wenchang Zhao, Stephane P. A. Bordas, Mingdong Zhou
Computer Modeling in Engineering & Sciences, Vol.131, No.1, pp. 1-18, 2022, DOI:10.32604/cmes.2022.019705
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract This paper proposes a novel optimization framework in passive control techniques to reduce noise pollution. The
geometries of the structures are represented by Catmull-Clark subdivision surfaces, which are able to build gap-free
Computer-Aided Design models and meanwhile tackle the extraordinary points that are commonly encountered
in geometric modelling. The acoustic fields are simulated using the isogeometric boundary element method, and a
density-based topology optimization is conducted to optimize distribution of sound-absorbing materials adhered
to structural surfaces. The approach enables one to perform acoustic optimization from Computer-Aided Design
models directly without needing meshing and volume parameterization, thereby avoiding the geometric errors…
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Open Access
ARTICLE
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Open Access
ARTICLE
Subdivision Surface-Based Isogeometric Boundary Element Method for Steady Heat Conduction Problems with Variable Coefficient
Xiuyun Chen, Xiaomeng Yin, Kunpeng Li, Ruhui Cheng, Yanming Xu, Wei Zhang
Computer Modeling in Engineering & Sciences, Vol.129, No.1, pp. 323-339, 2021, DOI:10.32604/cmes.2021.016794
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract The present work couples isogeometric analysis (IGA) and boundary element methods (BEM) for three dimensional steady heat conduction problems with variable coefficients. The Computer-Aided Design (CAD) geometries are built by subdivision surfaces, and meantime the basis functions of subdivision surfaces are employed to discretize the boundary integral equations for heat conduction analysis. Moreover, the radial integration method is adopted to transform the additional domain integrals caused by variable coefficients to the boundary integrals. Several numerical examples are provided to demonstrate the correctness and advantages of the proposed algorithm in the integration of CAD and numerical analysis.
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Open Access
ARTICLE
Monte Carlo Simulation of Fractures Using Isogeometric Boundary Element Methods Based on POD-RBF
Haojie Lian, Zhongwang Wang, Haowen Hu, Shengze Li, Xuan Peng, Leilei Chen
Computer Modeling in Engineering & Sciences, Vol.128, No.1, pp. 1-20, 2021, DOI:10.32604/cmes.2021.016775
（This article belongs to this Special Issue:
Recent Advance of the Isogeometric Boundary Element Method and its Applications)
Abstract This paper presents a novel framework for stochastic analysis of linear elastic fracture problems. Monte Carlo simulation (MCs) is adopted to address the multi-dimensional uncertainties, whose computation cost is reduced by combination of Proper Orthogonal Decomposition (POD) and the Radial Basis Function (RBF). In order to avoid re-meshing and retain the geometric exactness, isogeometric boundary element method (IGABEM) is employed for simulation, in which the Non-Uniform Rational B-splines (NURBS) are employed for representing the crack surfaces and discretizing dual boundary integral equations. The stress intensity factors (SIFs) are extracted by
M integral method. The numerical examples simulate several cracked structures…
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