کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703328 1012373 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Calculation of acoustic Green’s functions using BEM and Dirichlet-to-Neumann-type boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Calculation of acoustic Green’s functions using BEM and Dirichlet-to-Neumann-type boundary conditions
چکیده انگلیسی

Hybrid computational aero-acoustic (CAA) solution schemes rely on knowledge of a scattering function known as a Green’s function to propagate source fluctuations to the far-field. Presently, these schemes are restricted to relatively simple geometries. We present here a computational method for evaluating Green’s functions within more geometrically complex regions, as a means of extending the versatility of existing hybrid schemes. The direct collocation implementation of the Boundary Element Method used in truncated, semi-infinite domains, introduces additional unknowns on the boundary. In this paper we develop a modified boundary element formulation to efficiently incorporate approximate non-reflecting boundary conditions for an arbitrary number of truncation boundaries. The boundary condition is based on the Dirichlet-to-Neumann mapping operator. Results are compared to known analytical Green’s functions for an infinite pipe as a means of validating the new code. The method achieves relative errors of less than 1% compared with the analytical solution for the highest mesh density tested. Execution time, known to be large for acoustic problems, is minimised through the use of multi-threading. The scheme is also applied to a more realistic example of a 2D throttle.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 39, Issue 14, 15 July 2015, Pages 4134–4150
نویسندگان
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