Research Article

A Numerical Method for Predicting Acoustical Wave Propagation in Open Spaces

Table 4

Numerical details for Case  3.

cylinder diameter: 𝐷 = 1
domain origins: [ π‘Ÿ , πœƒ ] = [ 1 / 2 , 0 ] Γ— [ 8 , πœ‹ ]
initial condition: 𝑝 β€² ( π‘₯ , 𝑦 , 0 ) = 𝑒 ( βˆ’ l n 2 / 0 . 0 4 ) ( ( π‘₯ βˆ’ 4 ) 2 + 𝑦 2 )
absorbing BC: (18)
wave speed: 𝑐 0 = 1
solid body BC:(27), (44)–(47)
Nodes   𝑁 𝐼 Γ— 𝑁 𝐽 , 𝑑 π‘Ÿ Γ— 𝑑 πœƒ 4 0 1 Γ— 1 8 1 , 0 . 0 2 5 Γ— 0 . 0 1 7 4
time step 𝑑 𝑑 :0.05
CFL (based on 𝑑 π‘Ÿ ):0.2
filtering:8th order, every 10 time steps