Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision surfaces
Abstract Isogeometric boundary element method is a computer simulation algorithm that can directly utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision surfaces are a widely used technique in 3D computer graphics to construct complicated geometries. In the present work, we combine Catmull-Clark subdivision surfaces with isogeometric boundary element method to simulate acoustic propagation in semi-infinite domains. The present method can produce fast and high fidelity results, due to its strength of seamless integration of computer-aided geometric modeling and numerical simulation. The feasibility of the method is demonstrated by several acoustic scattering problems, including the one with analytical solutions and the examples with complicated geometries.
Abstract This paper presents an acoustic topology optimization approach using isogeometric boundary element methods based on subdivision surfaces to optimize the distribution of sound adsorption materials adhering to structural surfaces. The geometries are constructed from triangular control meshes through Loop subdivision scheme, and the associated Box-spline functions that generate limit smooth subdivision surfaces are employed to discretize the acoustic boundary integral equations. The effect...
Abstract The boundary element method (BEM) is a powerful tool in computational acoustics, because the analysis is conducted only on structural surfaces, compared to the finite element method (FEM) which resorts to special techniques to truncate infinite domains. The isogeometric boundary element method (IGABEM) is a recent progress in the category of boundary element approaches, which is inspired by the concept of isogeometric analysis (IGA) and employs the spline functions of CAD as basis funct...
Last. Weihua Zhang(National University of Defense Technology)H-Index: 8
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Abstract This work presents an adaptive Singular Value Decomposition (SVD)–Krylov reduced order model to solve structural optimization problems. By utilizing the SVD, it is shown that the solution space of a structural optimization problem can be decomposed into a geometry subspace and a design subspace. Any structural response of a specific configuration in the optimization problem is then obtained through a linear combination of the geometry and design subspaces. This indicates that in solving...
Last. Kejia Pan(CSU: Central South University)H-Index: 15
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Abstract We study the application of Isogeometric Analysis based on extended Catmull–Clark subdivision approach for the minimal surface models on planar domains. Subdivision approaches are compatible with NURBS as the standard of CAD systems which are capable of the refinability of B-spline techniques. The exactness of the physical domain of interest is fixed patchwise by the coarsest quadrilateral mesh and maintained through refinement. By performing extended Catmull–Clark subdivision, the cont...
Abstract A strong-form boundary collocation method, the singular boundary method (SBM), is developed in this paper for the wave propagation analysis at low and moderate wavenumbers in periodic structures. The SBM is of several advantages including mathematically simple, easy-to-program, meshless with the application of the concept of origin intensity factors in order to eliminate the singularity of the fundamental solutions and avoid the numerical evaluation of the singular integrals in the boun...
#1Leilei Chen(Xinyang Normal University)H-Index: 11
#2Cheng Liu(USTC: University of Science and Technology of China)H-Index: 5
Last. Linchao Liu(Xinyang Normal University)H-Index: 2
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Abstract A study of structural shape optimization and absorbing material distribution optimization of noise barrier structures based on the recently proposed isogeometric analysis method with exact geometric definitions is presented. The acoustic scattering is approximated using the basis functions that represent the geometry. A fast multipole method is applied to accelerate the solution of the boundary element method (BEM). The Burton–Miller formulation is used to overcome the fictitious freque...
Last. D. Wang(National University of Defense Technology)H-Index: 1
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The isogeometric approach to computational engineering analysis makes use of Non-Uniform Rational B-splines (NURBS) to discretise both the geometry and the analysis field variables, giving a higher fidelity geometric description and leading to improved convergence properties of the solution over conventional piecewise polynomial descriptions. Because of its boundary-only modelling, with no requirement for a volumetric NURBS geometric definition, the boundary element method is an ideal choice for...
#1Leilei Chen(Xinyang Normal University)H-Index: 11
Last. Haojie Lian(TUT: Taiyuan University of Technology)H-Index: 13
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This paper simulates the propagation of hydraulic fractures under constant fluid pressure using the isogeometric analysis based on boundary element methods (BEM) i.e. the so called isogeomtric BEM. Due to the seamless integration between computer aided design (CAD) and numerical analysis, the isogeomtric BEM eliminates the meshing procedure and geometric errors, and explicitly parametrizes the crack propagation path. Graded knot insertion near the crack tip is used to effectively capture the str...
#2Artur Nowoświat(Silesian University of Technology)H-Index: 9
Abstract To predict the acoustics of a room based on a computer simulation, we must know its dimensions and shape, the acoustic properties of the partitioning materials, and information regarding the objects contained within it. Most frequently, we do not know the exact acoustic properties of such materials, and we are unable to consider all elements present in the room and their impact on the reflections, refractions, or dispersions of the sound waves. Therefore, in this paper, an algebraic sys...
#1Fuhang Jiang(USTC: University of Science and Technology of China)
#2Wenchang Zhao(USTC: University of Science and Technology of China)H-Index: 6
Last. Haibo Chen(USTC: University of Science and Technology of China)H-Index: 17
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Abstract This study presents a combined shape and topology optimization method for designing sound barriers by using the isogeometric boundary element method. The objective function of combined optimization is defined as the sound pressure in reference plane. The sensitivity analysis for the combined optimization is conducted by using either the direct differentiation method or the adjoint variable method. For a shape design, the design variables are the positions of control points in isogeometr...
#1Chuang Xu(BIT: Beijing Institute of Technology)H-Index: 2
#2Chunying Dong(BIT: Beijing Institute of Technology)H-Index: 19
Last. Rui Dai(BIT: Beijing Institute of Technology)H-Index: 1
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Abstract The isogeometric analysis boundary element method (IGABEM) has a broad application prospect due to its exact geometric representation and good approximation properties. In this paper, a novel radial integration IGABEM (RI-IGABEM) based on precise integration method (PIM) is proposed to solve transient heat conduction problems of functionally gradient materials (FGMs) with heat source Similar to traditional boundary element method (BEM), in which the fundamental solution for the Laplace ...