Add a new feature of elastically mounted object using the moving reference frame force

Issue/feature addressed

In the current moving reference frame force, the motion of the body should be prescribed in the session, which prevents the application of Nektar++ in the fluid-structure interaction problems. In this branch, a rigid-body solver is added to support the free motion of the body.

Proposed solution

The tranlsational motion and rotating around z axis can be set as free. The Eulerian angle is used for z-rotation. The rigid body equations are solve using NewmarkBeta scheme.

Implementation

A rigid-body solver is added. This solver passes force data to the moving reference frame module and the MRF returns body's velocity and angle.

Tests

A self-propelled pitching airfoil is added.

Suggested reviewers

Mohsen is suggested as a reviewer.

Notes

Please add any other information that could be useful for reviewers.

Checklist

• Functions and classes, or changes to them, are documented.
• User guide/documentation is updated.
• Changelog is updated.
• Suitable tests added for new functionality.
• Contributed code is correctly formatted. (See the contributing guidelines).
• License added to any new files.
• No extraneous files have been added (e.g. compiler output or test data files).