SFEMaNS
version 4.1 (work in progress)
Reference documentation for SFEMaNS

It is used to define the velocity field \(\bu_\text{given}\) when the NavierStokes equations are not approximated. Moreover, in the data file the following line has to be set to false:
If it set to true, the velocity is read from a suite file of the NavierStokes equations and not this function.
This function defines a time independent velocity field for one given Fourier mode on all of the nodes of the finite element mesh.
The inputs of this function are the following:
m
is the Fourier mode \(m\) considered. It is an integer. H_mesh
is the finite element mesh used to approximate the magnetic field.
The output of this function is a real valued tabular vv of dimension (H_mesh%np,6).
Here is an exemple where we set \(\bu_\text{given}=r\textbf{e}_\theta\) where \(\textbf{e}_\theta\) is the unit vector in the azimuthal direction.
The corresponding code lines are written as follows.
Remark: The divergence of the velocity field has to be zero.
We refer to the sections Examples with manufactured solutions and Examples on physical problems for more examples.