Adaptive Cartesian Mesh
 

Hi,

It is of interest in adaptive cartesian 3D(2D) methods to obtain volume(area) fraction of cartesian cells(Xmin, Xmax) intersected by a simple plane(line) defined by a point and normal.

Can someone give pointers to how one can calculate such volume-fractions and surface-area-fractions for these cartesian cells WITHOUT the construction of the complex polytope as that would be an overkill especially in 3D.

Thank you.