کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6930413 867604 2016 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
چکیده انگلیسی
This text proposes a fast, rapidly convergent Nyström method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by inhomogeneous obstacles, while allowing the material properties to jump across the interface. The method works with overlapping coordinate charts as a description of the given scatterer. In particular, it employs “partitions of unity” to simplify the implementation of high-order quadratures along with suitable changes of parametric variables to analytically resolve the singularities present in the integral operator to achieve desired accuracies in approximations. To deal with the discontinuous material interface in a high-order manner, a specialized quadrature is used in the boundary region. The approach further utilizes an FFT based strategy that uses equivalent source approximations to accelerate the evaluation of large number of interactions that arise in the approximation of the volumetric integral operator and thus achieves a reduced computational complexity of O(Nlog⁡N) for an N-point discretization. A detailed discussion on the solution methodology along with a variety of numerical experiments to exemplify its performance are presented in this paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 311, 15 April 2016, Pages 258-274
نویسندگان
, , , ,