Implementing and testing different formulations of the convective term in HPC finite element code using subgrid scales

Abstract

This master's thesis explores the implementation of convective schemes in incompressible flow modeling, emphasizing their impact on energy conservation, momentum, and angular momentum. Specifically the skew-symmetric term and the EMAC term recently proposed. The study begins with a literature review on incompressible fluid simulation and introduces the variational multiscale method, applied specifically to stabilize formulations in incompressible fluid flow. Then the study of conservation properties for the convective terms and finally some numerical tests.