Published in American Institute of Aeronautics and Astronautics Paper (AIAA) 2007-715, (online), 2007
An incompressible Finite Element Lagrangian code is presented and validated against classical experimental and numerical Eulerian results. The main distinction between an Eulerian and a Lagrangian approach is due to the convection of the mesh with the computed velocity. On one hand, the convective term is taken into account in the total derivative of the velocity, which greatly simplifies its numerical treatment. On the other hand, a constant remeshing must be performed to maintain a good element quality due to the large deformations undergone by the fluid. The classical cylinder and the thermally coupled cavity benchmarks have been chosen to perform a detailed comparison with an Eulerian code, FEFLO, and experimental results.