TVD scheme

shuo

In the upwind TVD scheme(Yee 87) there's an expression that reads

gamma = 0.5*Psi(a_(i+1/2, j))*(g_(i+1, j) - g_(i, j))/alpha_(i+1/2, j)

a is the eigenvalues of the Jacobian matrix A

g , alpha and gamma(?) are both column vectors

i.e. g = transpose(g00, g10, g20, g30)

So if you break it down to column matrix elements does it become:

gamma00 = 0.5*Psi(a00_(i+1/2, j))*(g00_(i+1, j) - g00_(i, j))/alpha00_(i+1/2, j)gamma00

gamma10 = 0.5*Psi(a11_(i+1/2, j))*(g10_(i+1, j) - g10_(i, j))/alpha10_(i+1/2, j) etc...

Is this correct?

Thanks SHuo