Speaker
Peter Korn
Description
The area of fluid dynamics is based not on a single but on a multitude of dynamical equations that obey a hierarchical relationship. Among the constituents of this hierarchy are Euler and Navier-Stokes equations with their compressible and incompressible versions, as well as hydrostatic and geostrophic equations. The goal of this work is to formulate a computational approach for computing solutions for a whole spectrum of equations such that:
1) the solutions to these equations satisfy the respective conservation laws of the specific dynamical equation
2) the solutions to different equations respect the singular limit that relate these equations.
3) the numerics is to a certain extend mesh-unaware, i.e. it works for a spectrum of grids.
