[Ardalan]

How can we discretize convection term by using SOU (second order upwid) for non-orthogonal structured mesh?
I know the formula for uniform orthogonal mesh:
phi_f=3/2*phi_c-1/2*phi_u

[ganesh]

Dear Ardalan,

You could try schemes such as QUICK and SMART among others.

Regards,

Ganesh

[Ardalan]

thanks for your answer
but what is the formula for non-orthogonal grids?
I have this formula for QUICK in uniform grid:
phi_f=3/4*phi_c+3/8*phi_D-1/8*phi_u

[harbinyg]

For this problem, the key difficulty is to define the far upwind point's value.

Certainly , you can use the point already existed (as the grid is structured)

and in fact, this point is not exactly the far upwind. you should define the far upwind point.

you can check some articles about the TVD unstructured grid.

For more information, contact me. the mail address. xikuanghit@gmail.com