Question regarding non-uniform FVM staggered grid and order accuracy
I have a question regarding non-uniform FVM staggered Cartesian grid and order accuracy.
When the grid is non-uniform, I define the u,v,p grids such that the east/west faces of the u grid intersects the cell center of p. Same for the v grid.
In that case, the distance of the east/west faces from the cell center of u will be different. the volume of u and p cells are different.
When using the fractional method, after evaluating the pressure from the Poisson eqn, to get u velocity, I use:
u(n+1) - u(*) = -(delta_t / vol) * pressure(east face) -pressure(west face) * area, where u*) is the intermediate velocity
However, since my u value is not at the center of the cell, it will not give a 2nd order solution, is that so? How can I resolve this?
I suggest to see the dedicated part in:
hoping this can help you
Thanks Filippo, I'll take a look at them.
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