The Lagrangian Mimetic Spectral Element Method: Solving (non-)Linear Advection Problems with a Mimetic Method

Advection is at the heart of fluid dynamics and is responsible for many interesting phenomena. Unfortunately, it is also the source of the non-linearity of fluid dynamics. As such, its numerical treatment is challenging and often suboptimal. One way to more effectively deal with advection is by using a Lagrangian formulation instead of the...