Displacement-speed x pressure in 1 line

For the validation tests of Navpactos, many variants of cases were formulated, hence suggesting the way to have simple calls. The call should be meaningful, using physical words so as to see exactly what is solved.

Let’s see the paradigm of problems having a vector unknown being the displacement or the speed, named U, and a scalar one named P being the hydrostatic pressure for the incompressibility case. We’ll have to define the function space of the variables by giving the degree of lagrange elements.

Then some physical actions should be specified by giving their formulators associated to a zone (subdomain, boundary, nodes, …) Plus Dirichlet conditions.

And options for the solver.

A physical action should contribute to the variational problem: it may acts on value or gradients of the tests functions of either U or P. It does not have to build the geometric variables and may hold some coefficients given as expressions of x, y, z, and t if needed.

Let’s see how it works.

Contents:

• Hyperelasticity
  • Degree and integration rule
  • A volumic force
  • A surfacic force
  • A lineic force
  • Incompressibility
  • Rigid body attachment
  • Penalization on nodes displacement for rigid contact
• Steady flow dynamics
  • Poisson equation
  • Stokes equation in the incompressible case
  • Navier-Stokes equation in the incompressible case
• Formulators
  • CFD terms
  • Structural mechanics terms