mass balance over a cell _ urgent help

taw

I am a little bit confused due to the result i am getting using a finite volume SIMPLE like code.

Considering an incompressible code, for a fully converged and (simplifying assuming steady state condition) I think the continuity equation should be fulfilled at each cell, either as the finite difference or finite volume form.

so i expect (u(i+1,j)-u(i,j))/(0.5*(dx(i+1)+dx(i)) + (v(i,j+1)-vg(i,j))/(0.5*(dy(i+1)+dy(i)) = 0 at each cell;

But my code gives me this value for the corrected u and v only.

I used non staggered grid, but even if I use the staggered I think that wouldn't be different.

I am just solving the flat plate laminar flow problem, so there is no complex flow here. For instance I decreased the residual criterion but not helped. I also increased the no iteration for the momentum the pressure routines still no difference.

I APPRECIATE SOME ONE GIVE ME LIGHT ON MY PROBLEM.

taw