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Electromagnetic Scattering 109
Scattering Width, dB
Co-volume /120
Co-volume /15 uniform
FETD /120
FETD /15 uniform
FETD /15 refined
Viewing Angle, degrees
Fig. 12. Simulation of scattering of a plane TE wave by a PEC NACA0012 aerofoil
of length λ showing a comparison between the computed and benchmark scattering
width distributions.
Table 4. Simulation of scattering of a plane TE wave by a PEC NACA0012 aerofoil
of length λ.
Mesh FETD Co-volume Speed up
resolution spc time, s E SW spc time, s E SW ratio
Uniform 59 12. 6.00 46 0.4 0.9 30
Refined 97 20. 2.14 99 0.6 0.5 33
shown in Fig. 13(a). The simulations are advanced for 150 cycles and the
typical distribution of the contours of the computed total magnetic field in
the domain, excluding the PML, is shown in Figure 13(b). A comparison of
the computed scattering width distributions is given in Figure 14. Also shown
on this figure is the scattering width distribution computed using a high order
finite element frequency domain (FEFD) simulation [LMHW02]. The number
ofstepspercycleis57fortheco-volumeschemeand59fortheFETDmethod
and, for this example, the co-volume scheme requires 31 seconds of cpu time,
while the FETD method requires 1980 seconds. This represents a speed-up of
a factor of 65.