Normal incidence sound insulation provided by Sonic Crystal Acoustic Screens made from rigid scatterers – assessment of different simulation methods

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Table 1

Numerical values of the main parameter considered in each of the simulation methods, as well as the secondary parameters.

Method	Main parameter	Limit values	Additional parameters	Time/freq
MS	Repetitions of the unit cell	1–64	Reflection order = 3	NFT = 6
MS	Repetitions of the unit cell	1–64	Number of terms in the Bessel functions = 5	NFT = 6
FEM	Mesh quality	Min. number of elements per wavelength^* = ¼ to 4 Max. number of elements per wavelength^* = 2–2000 Growth factor = 1.8–1.1 Curvature factor 0.8–0.2	Element order. Triangles, i.e. 3 nodes	NFT = 6

FDTD	Number of grid points per wavelength	1–50	Courant–Friedrichs–Lewy number = 1	Total time of flight/time of flight of the 4 cells = 20;
BEM	Number of boundary elements per wavelength	1–100	Element order. Constant elements, with 1 central node.	NFT = 6
MFS	Number of virtual sources and collocation points per wavelength	1–100	Distance form virtual source to boundary: 40% of the radius of the scatterer	NFT = 6

Elements or cell points per wavelength refers to the smallest wavelength evaluated ( Hz).

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