TY - JOUR
T1 - Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme
AU - Jitenjaya Pradhan & Yogesh G. Bhumkar
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 942
EP - 968
PY - 2019
DA - 2019/04
SN - 12
DO - http://doi.org/10.4208/nmtma.OA-2018-0095
UR - https://global-sci.org/intro/article_detail/nmtma/13138.html
KW - DRP scheme, compact difference scheme, computational acoustics, barrier, insertion
loss.
AB - <p style="text-align: justify;">Here, reduction in acoustic noise due to insertion of thin reflecting barriers
has been estimated. Accurate simulations have been performed using numerical methods with a near spectral resolving ability, neutral stability and the physical dispersion
relation preserving ($DRP$) nature. Use of high accuracy schemes makes present approach useful in analysis of an acoustic field consisting of acoustic waves with a large
frequency band. Present investigation has been carried out for eight geometrically different acoustic barriers and for nine discrete frequencies in the one-third octave band
starting from 250 $Hz$ to 1600 $Hz$. Use of high accuracy $DRP$ scheme allows one to
compute the complex acoustic field by accurately capturing reflection, diffraction and
interference of acoustic waves. Comparison of numerically obtained sound pressure
level ($SPL$) distributions at different heights with the available experimental results in
the literature shows a good match for the case of $I$-shaped barrier. In order to quantify
effects of acoustic source frequencies over a large band, we have extended our analysis
for a frequency range of 100 $Hz$ to 5000 $Hz$ for the case of $I$-shaped barrier. Present
analysis shows that the thick $T$-shaped barrier and grooved barrier work efficiently in
the low and mid frequency range while in the higher frequency range all the barriers are
equally effective due to minimal diffraction.</p>