Hello,

As given in the documentation, the transport equation solved is given by

In order to solve the advection term using WENO scheme on 5 point stencil, to my understanding explicit weno5Z_upwind is present in the code.

I would like to know how this term is discetized? The advection term which reads as :

V.grad(S_{j}) can be re-formulated as

div ( V S_{j}) - S_{j} div (V)

Ques 1: As the code is incompressible, is te last term neglected in the code?

Ques 2: Does the explicit WENO upwind formulation refers to WENO dsicretization of S_{j} but upwind velocity?

Ques 3: If I wish to add more terms on RHS of equation which are dependent of S_{j} in addition to already present diffusion term, say grad(S_{j}) and add the discretization implicitly, then as per my understanding, the coefficients of the matrix needs to be modified. May I know which one for transport equation.

Thanking You

Deewakar