Crank-nicholson and Pressure correction

jdc

Hi all,

I wish to integrate the NS equations using a Crank-Nicholson scheme and a pressure correction algorithm (with dilatable term). I am not confident with the treatment of the term [d(rho)/dt] that appears as a source term of the pressure equation. Has anyone clearly describe the derivation of this term for Crank-Nicholson scheme?

Also: I saw sometimes "Crank-Nicolson" and some other times "Crank-Nicholson". Which one is correct?

Thanks in advance, Julien