1 -Could you please tell me of an articals or free books that explain how to caculate the cell volume with general shape.

2 - is there free Algorithm on teh internet that will Calculate 3D cell volume.

Thank you

Tareq

if you are dealing with generalized curvilinear structural grids. It is quite simple, just the reciprocal of the grid Jacobian J = d(si, eta, gama)/d(x, y, z).

You will find the formulation in the CFD book of Ferziger and Peric. In short, the definition is:

volume = SUM over f of (x_f Ax_f)

where f is all the faces of a control volume x_f the x coordinate of the cell face centre Ax_f the x coordinate of the outward pointing face area vector.