Lukas Lundgren
TDB, IT, UU
The simulation of incompressible variable density flow plays an important role in several areas of fluid dynamics. This type of flow occurs in many places, such as stratified flow in the ocean and the mixing of fluids with distinct phases, e.g. oil and water.
In this talk, I will present our attempt at constructing a fourth-order accurate finite element method to approximate variable density flow. The main topics of the talk will be the imposition of the incompressibility constraint using artificial compressibility and stabilization using residual-based artificial viscosity. I will conclude my talk by discussing future directions of my research during my remaining time as a Ph.D. student.