I've been exploring the CFL (Courant-Friedrichs-Lewy) condition in polar coordinates and have observed that previous inquiries haven't yielded a satisfactory answer. I've come across this paper which appears to provide a more compelling explanation for the CFL condition in polar coordinates. However, I'm uncertain about the implementation, especially with regard to the M term. I'm not sure how to obtain it—do I need to utilize the wave solution and compute the derivatives?
I'd appreciate any insights or guidance on this matter. Thank you!
These are the other questions about CFL condition that I found in stack exchange CFL CONDITION IN POLAR COORDINATES and CFL condition in polar coordinates