Prof. Dr. Maria Lukacova

Abstract
We present a newly developed well-balanced FV evolution Galerkin scheme for multidimensional systems of hyperbolic conservation laws. These methods are based on the theory of bicharacteristics and take all infinitely many directions of wave  propagation  into account.  A typical characteristic of geophysical flows is their multiscale behaviour with wave speeds differing by orders of magnitude. Thus, the gravitational waves are much faster than advection waves. To alleviate a sever CFL stability condition and approximate efficiently low Froude number flows we have developed a large time step variant of the FVEG  method.  The behaviour of  schemes will be illustrated by  numerical experiments.