Numerical Aspects of Isogeometric Boundary Element Methods: (Nearly) Singular Quadrature, Trimmed NURBS and Surface Crack Modeling

Peng, Xuan; Lian, Haojie

doi:10.32604/cmes.2022.017410

Cited by 3 publications

(2 citation statements)

References 35 publications

(52 reference statements)

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“…( 12) exhibits strong singularity, whereas the kernel on the right hand side shows weak singularity. In the IGABEM, a number of approaches have been proposed to deal with singularities [26][27][28][29][30]. Making use of the regularization strategy, the BIE is reconstructed into a weakly-singular form in discontinuous IGABEM; this concept will be explained in detail in Subsection 2.3.…”

Section: Igabem Discretizationmentioning

confidence: 99%

Panel Acoustic Contribution Analysis in Automotive Acoustics Using Discontinuous Isogeometric Boundary Element Method

Sun¹,

Lu²,

Liu³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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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 accurate and converges faster than continuous BEM and IGABEM in the interior sound pressure evaluation of automotive compartments. In this work, a contribution ratio is defined to estimate the relative acoustic contribution of the structure panels; it can be calculated by reusing the coefficient matrix that has already been generated in the sound pressure evaluation process. The utilization of the parallel technique enables the proposed method to be more efficient than conventional methods; it is validated in two numerical examples, including a car passenger compartment subjected to realistic boundary conditions. A sound pressure response experiment based on a steel box is conducted to verify the accuracy of the interior sound pressure calculation using discontinuous IGABEM. This work is expected to promote the practical process of IGABEM for application in automotive acoustic problems.

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Section: Igabem Discretizationmentioning

confidence: 99%

Panel Acoustic Contribution Analysis in Automotive Acoustics Using Discontinuous Isogeometric Boundary Element Method

Sun¹,

Lu²,

Liu³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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show abstract

“…In addition, the IGABEM can provide highorder continuity and exible re nement schemes, and it can be extended to many 2D modeling elds. erefore, the IGABEM has been widely studied by many scholars and has been successfully applied in many elds such as elasticity [2,3], uid-structure coupling [4][5][6], shape optimization [7,8], and acoustic [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Coupling Heat Conduction and Radiation by an Isogeometric Boundary Element Method in 2-D Structures

Jiang

Jia-dong

Kunpeng

et al. 2022

Mathematical Problems in Engineering

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We propose an efficient isogeometric boundary element method to address the coupling of heat conduction and radiation in homogeneous or inhomogeneous materials. The isogeometric boundary element method is used to construct irregular 2D models, which eliminate errors in model construction. The physical unknowns in the governing equations for heat conduction and radiation are discretized using an interpolation approximation, and the integral equations are finally solved by Newton–Raphson iteration; it is noteworthy that we use the radial integration method to convert the domain integrals to boundary integrals, and we combine the numerical schemes for heat conduction and radiation. The results of the three numerical cases show that the adopted algorithm can improve the computational accuracy and efficiency.

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Impedance Sensitivity Analysis Based on Discontinuous Isogeometric Boundary Element Method in Automotive Acoustics

Sun

Xie

et al. 2023

Journal of Computing and Information Science in Engineering

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Acoustic sensitivity analysis is an essential technique to determine the direction of structural-acoustic optimization by evaluating the gradient of the objective functions with respect to the design variables. However, acoustic sensitivity analysis with respect to acoustic impedance, which is an important parameter representing the interior absorbent material in automotive acoustics, is lacking in the study. Moreover, acoustic sensitivity analysis implemented with conventional numerical methods is time and effort-consuming in automotive acoustics, due to the large-scale mesh generation. In this work, the impedance sensitivity analysis for automotive acoustics based on the discontinuous isogeometric boundary element method is presented. The regularized boundary integral equation with impedance boundary conditions is established, then the sensitivity is derived by differentiating the boundary integral equation. The efficiency of the proposed method is improved by employing the parallel technique and generalized minimal residual solver. A long duct example with an analytical solution validates the accuracy of the proposed method, and an automotive passenger compartment subjecting to impedance boundary conditions illustrates that the computing time of the proposed method is one order of magnitude less than the conventional method. This work presents an easily implementable and efficient tool to investigate acoustic sensitivity with respect to impedance, showing great potential in the application of automotive acoustics.

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Numerical Aspects of Isogeometric Boundary Element Methods: (Nearly) Singular Quadrature, Trimmed NURBS and Surface Crack Modeling

Cited by 3 publications

References 35 publications

Panel Acoustic Contribution Analysis in Automotive Acoustics Using Discontinuous Isogeometric Boundary Element Method

Panel Acoustic Contribution Analysis in Automotive Acoustics Using Discontinuous Isogeometric Boundary Element Method

Coupling Heat Conduction and Radiation by an Isogeometric Boundary Element Method in 2-D Structures

Impedance Sensitivity Analysis Based on Discontinuous Isogeometric Boundary Element Method in Automotive Acoustics

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