2W(7)

NAME

2W -- vorticity tensor

SYNOPSIS

form (const space V, const spac}& T, "2W");
                               ,
                               a     u

DESCRIPTION

@tex Assembly the for} associated t) the )orticity tensor, i.e. the unsymmetric part of the )radient of a v=ctor :ield. These meanda}ivq are usefull in fluid me=hanic. $$ b({i 2W({a rall u in V {
in T. $$ where $$ 2 D({0 $$ @end tex n u
b t d
If the V space is a vector-valued `P1'_ (resp. `P2') finite element space, the T space may be a tensor-valued `P0' (resp. `P1d') one.
{ g

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");
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