Example: Nonlinear Elastic global pROM

[axla-io]

Example: Nonlinear Elastic Global pROM

Background and description

As an exercise in getting to know the libROM library, I implemented a global pROM for a linear elastic cantilever problem.

The program is based on ex10p in MFEM and the mixed_nonlinear_diffusion example in libROM.

What's added

The file:

• examples/prom/nonlinear_elasticity_global_rom.cpp - which is the main program for the pROM example

This example adds:

• Hyper reduction for nonlinear elastic problems.
• The option to chose approximating the basis for the velocity field using the basis for the displacement field.
• The possibility to chose velocity or deformation initial conditions.
• Parametric ROM mode by scaling initial conditions.
• BasisGeneratorFinalSummary generates .txt files, which are easier to read on Windows.

How has it been tested?

• Hyper reduction implementation verified.
• Parametric ROM interpolation capabilities verified.
• X basis approach implementation has shown to give similar performance as using both bases.