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Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations

100%

Guel-Tapia J. A. , Villa-Villa F. , Mendoza-Suarez A. , Pérez-Aguilar H.

nr 3

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

88%

Chen L. , Zhao W. , Liu C. , Chen H. , Marburg S.

tom Vol. 44, No. 3

475--492

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.

Identification of an Arbitrary Shape Obstacle of Scattering Problem Using Near Field Data

88%

Rymarczyk T. , Sikora J. , Kulisz M. , Kłosowski G.

tom Vol. 18, no 7

396--405

This paper delves into a significant area of research, exploring the application of the standard boundary element method (BEM) to analyze inverse acoustic frequency scattering problems in 2D space using a rigid corrugated circular object. The inverse problem is reformulated as an optimization problem, with the boundary of the scatterer parametrized to reduce the number of optimization variables. The influence of these parameters on imaging results based on near-field data is examined. The analysis uses a flat wave illuminating the object along the positive x-axis direction. The study evaluates the accuracy of the solution across various parameters defining the boundary of the analyzed object. The findings, which significantly contribute to advancements in computational methods, non-destructive testing, and the understanding of functional properties of materials and structures, offer valuable insights into numerical techniques and their practical engineering applications.

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

75%

Chen L. , Zhao W. , Liu C. , Chen H. , Marburg S. , Chen L. , Zhao W. , Liu C. , Chen H. , Marburg S.

nr 3