Isogeometric Fast Multipole Boundary Element Method Based on Burton-Miller Formulation for 3D Acoustic Problems

• Autorzy: Chen Leilei , Zhao Wenchang , Liu Cheng , Chen Haibo , Marburg Steffen

Identyfikatory

DOI

10.24425/aoa.2019.129263

• Języki publikacji: EN

Abstrakty

EN

An isogeometric boundary element method is applied to simulate wave scattering problems governed by the Helmholtz equation. The NURBS (non-uniform rational B-splines) widely used in the CAD (computer aided design) field is applied to represent the geometric model and approximate physical field variables. The Burton-Miller formulation is used to overcome the fictitious frequency problem when using a single Helmholtz boundary integral equation for exterior boundary-value problems. The singular integrals existing in Burton-Miller formulation are evaluated directly and accurately using Hadamard’s finite part integration. Fast multipole method is applied to accelerate the solution of the system of equations. It is demonstrated that the isogeometric boundary element method based on NURBS performs better than the conventional approach based on Lagrange basis functions in terms of accuracy, and the use of the fast multipole method both retains the accuracy for isogeometric boundary element method and reduces the computational cost.

Słowa kluczowe

EN

isogeometric analysis; boundary element method; Burton-Miller method; acoustic scattering; fast multipole method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2019
• Tom: Vol. 44, No. 3
• Strony: 475--492
• Opis fizyczny: Bibliogr. 55 poz., rys., tab., wykr.

Twórcy

autor

Chen Leilei

• College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, Henan, P.R. China

autor

Zhao Wenchang

• CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, P.R. China

autor

Liu Cheng

• CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, P.R. China

autor

Chen Haibo

• CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, P.R. China

autor

Marburg Steffen

• Institute of Vibroacoustics of Vehicles and Machines, Faculty of Mechanical Engineering, Technical University of Munich, Boltzmannstr. 15, 85748 Garching bei München, Germany

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).