Arbitrary polyhedral volume
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The volume of arbitrary polyhedral can be calculated by using [[Greens theorem | Green-Gauss Theorem]]. | The volume of arbitrary polyhedral can be calculated by using [[Greens theorem | Green-Gauss Theorem]]. | ||
Revision as of 14:54, 12 September 2005
The volume of arbitrary polyhedral can be calculated by using Green-Gauss Theorem.
By choosing the function
Where (x,y,z) are centroid of the surface enclosing the volume under consideration. As we have,
Hence the volume can be calculated as:
where the normal of the surface pointing outwards is given by:
Final expression could be written as
where S is magnitude of Surface Area.