next up previous contents
Next: Discretization of the geometrical Up: Some basic notations from Previous: The volume element

The divergence theorem in vector and tensor notation

Let , and let S be the boundary of V. The divergence theorem says, in vector notation,

 

Here stands for the vector , with n the outward unit normal on , and the (physical) surface element. In tensor notation the divergence theorem is given by

 

For a derivation and further references see Van Kan et al. (1991).



Tatiana Tijanova
Wed Mar 26 10:36:42 MET 1997