Moving Mesh Applications

Suitable for problems with:

Moving interfaces but having fixed topology

Interface phenomena

Boundary layers

Integral & Differential Formulations

Integral conservation law

Volume moving with surface velocities

Quantity advected with velocity

Differential form

Mapping from computational coordinates to physical coordinates

Geometric conservation law

Physical space conservation law

becomes

In 2D:

Single Conservation Law Example – Curved moving piston

· Fluid flow (Euler):

Multiple Conservation Laws

Example: 2D flow in a flexible tube

· Model the tube walls as a 1D string described by

- normal stress, - tangential stress, - local string tension