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]]. | ||
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where S is magnitude of Surface Area. | where S is magnitude of Surface Area. | ||
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+ | <i> Return to [[Numerical methods | Numerical Methods]] </i> |
Latest revision as of 06:18, 3 October 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.
Return to Numerical Methods