Path-consistent schemes for interacting boundary layers: A discontinuous Galerkin approach

This study is aimed at modelling of the unsteady interacting boundary layer around wind turbine rotor blades. It is shown that nonconservative mechanisms are present in this system, affecting the definition and approximation of solutions to the problem. The objective is to overcome the inconsistency of classical (dissipative) schemes, and find a...

Well-balanced central-upwind scheme for compressible two-phase flows

We design a new well-balanced central-upwind scheme for compressible two-phase flows. The new scheme is an extension of the semi-discrete central-upwind scheme proposed in [1]. The novelty of the presented method is in a special discretization of nonconservative product terms, which are exactly balanced with the numerical fluxes when the method...