Validation of partial derivates.
Validation of equations set on clustered grid.
This grid represent a straight channel, so the values should remain constant along stream lines. Clustering at inlet and shroud has been added in order to add perturbation (curvature change, non orthogonal computation planes, radius changes...) without modifying the geometry. We also have added tangential velocity and total temperature profiles at the inlet to activate most of the equations coefficients, inactivated coefficients are basically about blade lean parameter.
The streamline lattice resulting after convergence is achieved is presented below. One can notice that streamlines have been "unfolded", which makes sense since the flow shall be parallel to the revolution axis.
Although convergence is perturbated by temperatures gradients and irregular mesh, convergence is achived.
Illustration of the temperature gradient imposed at the inlet.
The tangential and meridional velocities remain, globally constants along stream lines, one shall take into account, strong enthalpy and entropy gradients occur in poorly meshed zones what is introducing unneglectable errors on partials derivates estimation.