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librheolefdev_5.932_amd64 NAME
2W  vorticity tensor
SYNOPSIS
form (const space V, const space& T, "2W");
DESCRIPTION
Assembly the form associated to the vorticity tensor, i.e. the unsymmetric part of the
gradient of a vector field. These derivative are usefull in fluid mechanic.
/

b(u,tau) =  2 W(u) : tau dx,

/ Omega
where
2 D(u) = grad u  (grad u)^T
If the V space is a vectorvalued P1 (resp. P2) finite element space, the T space may be a
tensorvalued P0 (resp. P1d) one.
EXAMPLE
The following piece of code build the Laplacian form associated to the P1 approximation:
geo omega ("square");
space V (omega, "P1", "vector");
space T (omega, "P0", "tensor");
form b (V, T, "2W");