Numerical spatial marching techniques in duct acoustics
作者:
K. J. Baumeister,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1979)
卷期:
Volume 65,
issue 2
页码: 297-306
ISSN:0001-4966
年代: 1979
DOI:10.1121/1.382353
出版商: Acoustical Society of America
数据来源: AIP
摘要:
A numerical method is developed that could predict the pressure distribution of a ducted source from farfield pressure inputs. Using an initial value formulation, the two‐dimensional homogeneous Helmholtz wave equation (no steady flow) is solved using explicit marching techniques. The Von Neumann method is used to develop relationships which describe how sound frequency and grid spacing effect numerical stability. Stability considerations limit the approach to high‐frequency sound. Sample calculations for both hard and soft wall ducts compare favorably to known boundary value solutions. In addition, assuming that reflections in the duct are small, this initial value approach is successfully used to determine the attenuation of a straight soft wall duct. Compared to conventional finite difference or finite element boundary value approaches, the numerical marching technique is orders of magnitude shorter in computation time and required computer storage and can be easily employed in problems involving high‐frequency sound.
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