The Time dependent Scalar-Transport Equation

Michail

Dear friends, I study discretisation of standard scalar transport equation (written in usual form for SIMPLE-like FV algorithm).

Please coorect me if I wrong

- all terms from time discretisation will be added into the source term and then it is possible to apply usual SIP or TDMA ADI procedure?

And how it should be solved

at time T step

*) we got all variables u,v,P as usual SIMPLE iteration

at time T+(Dt*i) step

*) we get all variables u,v,P as usual SIMPLE iteration

and so on?

OR somewhere should be implemented time stepping where we

at time T step

*) we got all variables u,v,P as usual SIMPLE iteration

at time T+(Dt*i) step

*) we make time step separately

*) we get all variables u,v,P as several usual SIMPLE iteration

Am I wrong?