Research Article

A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces

Table 1

Numerical details for Case  1.

domain origins: [ 1 0 6 0 ] × [ 1 0 6 0 ]
RS domain origins: [ 2 1 5 2 8 5 ] × [ 2 1 5 2 8 5 ]
initial conditions:at 𝑡 = 0 , 𝑝 ( 𝑥 , 𝑦 ) = 𝑒 0 . 4 [ ( 𝑥 3 5 ) 2 + ( 𝑦 3 5 ) 2 ]
source term: 𝑆 ( 𝑥 , 𝑦 ) = 0
wave speed: 𝑐 0 = 1
Nodes   𝑁 𝐼 × 𝑁 𝐽 , 𝑑 𝑥 × 𝑑 𝑦 1 0 1 × 1 0 1 , 0 . 5 × 0 . 5
RS nodes 𝑁 𝐼 × 𝑁 𝐽 , 𝑑 𝑥 × 𝑑 𝑦 1 0 0 1 × 1 0 0 1 , 0 . 5 × 0 . 5
time step 𝑑 𝑡 :0.1
CFL:0.2
stable 𝑑 𝑡 :0.14166
nodes per wave length:12-13
absorbing BC: (13)-(14), (52)
filtering:None