Hello,
I am trying to model ultrasonic propagation in absorbing media (heterogenous material with scatters inside). The experimental attenuation obtained for physical samples have a power law absorption exponent slightly higher than 3, so I use as an approximation in the simulation the value of 2.99, due to limitations of k-wave.
The power law used is alpha=1,66e-3*f^2.99 [dB/cm/Mhz].
In k-wave using medium.alpha_coeff=1,66e-3 and medium.alpha_power=2.99 some instability problems appear (dark screen fields in all directions) using kspaceFirstOrder3D.
In the my first simulation the time step used was 10^-9s and decreasing to 10^-10s do not solve the problem (in this last case CFL is approximately 0.03).
Thanks.
Mário