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

It is used to define a stabilization term \(\overline{\sigma}(r,z)\) for multiphase problems where the electrical conductivity varies between the fluids considered. We refer to the section Extension to multiphase flow problem for more information on the formulation of the NavierStokes equations in SFEMaNS.
This function defines a scalar function depending only of the radial and vertical coordinates. It is defined on the nodes of the finite element mesh.
The input of this function the mesh H_mesh
where the magnetic field is approximated.
The output of this function is a real valued tabular vv of dimension SIZE(H_meshrr,2). It is equal to the number of nodes, H_mesh%np, of the finite element mesh used to approximate the magnetic field.
Remark:
Here is an exemple where we set the stabilization term \(\overline{\sigma}\) to half of the minimum of the fluids electrical conductivities.
The corresponding code lines are written as follows.
We refer to the sections Examples with manufactured solutions and Examples on physical problems for more examples.