In this paper we introduce a class of well-balanced Finite Volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard Finite Volume solvers for homogeneous systems to non-homogeneous ones using the method of lines. We study conservation and some well-balanced properties of the numerical scheme. We apply our solvers to Shallow Water Equations: We prove that th...

The study of bubble clustering processes may provide a significant insight into turbulent air–water flows. Previous studies investigated these processes in plunging jets, dropshafts and hydraulic jumps. This research investigates the bubble clustering process in hydraulic jumps using experimental data collected in a rectangular horizontal flume with partially developed inflow conditions for inf...

We propose a flux vector splitting (FVS) for the solution of film flows radially spreading on a flat surface created by an impinging jet using the shallow-water approximation. The governing equations along with the boundary conditions are transformed from the physical to the computational domain and solved in a rectangular grid. A first-order upwind finite difference scheme is used at the point...

Bubble generation is a ubiquitous and complex phenomenon occurring as a result of non-linear behavior of the free surfaces. Plunging breakers, spilling breakers and plunging jets are just a few scenarios where bubble generation occurs. Due to its complexity and our lack of complete understanding of this phenomenon, the models developed in the literature are far from being predictive (Moraga et ...