Numerical simulation of wave impact on a rigid wall using a two-phase compressible SPH method

Ashkan Rafiee (1) , Denys Dutykh (1, 2) , Frédéric Dias (1, 3)

1 School of Mathematical Sciences [Dublin]
2 LAMA - Laboratoire de Mathématiques
3 CMLA - Centre de Mathématiques et de Leurs Applications

In this paper, an SPH method based on the SPH--ALE formulation is used for modelling two-phase flows with large density ratios and realistic sound speeds. The SPH scheme is further improved to circumvent the tensile instability that may occur in the SPH simulations. The two-phase SPH solver is then used to model a benchmark problem of liquid impact on a rigid wall. The results are compared with an incompressible Level Set solver. Furthermore, a wave impact on a rigid wall with a large entrained air pocket is modelled. The SPH simulation is initialised by the output of a fully non-linear potential flow solver. The pressure distribution, velocity field and impact pressure are then analysed.

Mots clés: Smoothed Particle Hydrodynamics; Godunov method; Arbitrary Lagrangian--Eulerian formulation; Multi-Phase Flows; Wave Impact

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Océan, Atmosphère; Milieux fluides et réactifs; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux; Analyse numérique [math.NA]; Physique Numérique [physics.comp-ph]; Dynamique des Fluides [physics.flu-dyn]; Analyse numérique [cs.NA]; Physique Atmosphérique et Océanique [physics.ao-ph]

Ashkan Rafiee, Denys Dutykh, Frédéric Dias. Numerical simulation of wave impact on a rigid wall using a two-phase compressible SPH method. Procedia IUTAM, 2015, IUTAM Symposium on Particle Methods in Fluid Dynamics, 18, pp.123-137. ⟨10.1016/j.piutam.2015.11.013⟩. ⟨hal-00830054⟩