Test-case number 3 : Propagation of pure capillary standing waves ( PA ) (original) (raw)

When simulating two-phase flows, it is important to evaluate the general accuracy and the validity of the numerical methods and numerical schemes used and the conservation laws of mass and energy in the computing domain. In particular, it is important to check that the behavior of the interface between two media is well taken into account, considering surface tension and viscous effects. As a matter of fact, capillary waves are similar to gravity waves but, firstly, they involve smaller scales, both in length and time. Secondly, They require a more difficult computation, because surface tension forces are based on the interface curvature, which needs to be accurately described. Thus, the results provided for pure capillary waves are considered, as initial conditions to simulate their propagations in constant depths over horizontal beds. The precision of the simulation is checked by comparing the free-surface shapes to theoretical values, including the predicted decay rate due to vis...