Some Geophysical Applications with Finite Volume Solvers of Two-Layer and Two-Phase Systems

There exists in the literature a huge range of geophysical applications that have been modeled trough two-layer or two-phase models. In this work first some averaged two-layer and two-phase models are presented. We focus on applications to submarine avalanches, debris flows and sediment transport in rivers. Secondly, their numerical approximation by a finite volume method is discussed and a numerical test is presented.