In this paper a non-hydrostatic and shock-capturing model for the simulation of wave-structure interaction and hydrodynamic phenomena (wave refraction, diffraction, shoaling and breaking) is proposed. The model is based on an integral formulation of the motion equations which are solved on a time dependent curvilinear coordinate system: a coordinate transformation maps the varying coordinates in the physical domain to a uniform transformed space. The motion equations are discretized by means of a shock-capturing numerical procedure based on high order WENO reconstructions. The solution procedure for the motion equations uses a five stage four order accurate Runge-Kutta (SSPRK) fractional- step method and applies a pressure corrector formulation in order to obtain a divergence-free velocity field at each stage. The proposed model is validated against two benchmark test cases and is used in order to analyse the effects that a submerged breakwater produces on wave motion.

A 3D shock-capturing model for free surface flow / Cannata, Giovanni; Lasaponara, Francesco; Camilli, Flaminia; Petrelli, Chiara; Gallerano, Francesco. - STAMPA. - 1:(2016), pp. 213-222. ((Intervento presentato al convegno 11th International Conference on Advances in Fluid Mechanics tenutosi a Ancona, Italy nel 5 - 7 September, 2016 [10.2495/AFM160181].

A 3D shock-capturing model for free surface flow

CANNATA, Giovanni;LASAPONARA, FRANCESCO;CAMILLI, FLAMINIA;PETRELLI, CHIARA;GALLERANO, Francesco
2016

Abstract

In this paper a non-hydrostatic and shock-capturing model for the simulation of wave-structure interaction and hydrodynamic phenomena (wave refraction, diffraction, shoaling and breaking) is proposed. The model is based on an integral formulation of the motion equations which are solved on a time dependent curvilinear coordinate system: a coordinate transformation maps the varying coordinates in the physical domain to a uniform transformed space. The motion equations are discretized by means of a shock-capturing numerical procedure based on high order WENO reconstructions. The solution procedure for the motion equations uses a five stage four order accurate Runge-Kutta (SSPRK) fractional- step method and applies a pressure corrector formulation in order to obtain a divergence-free velocity field at each stage. The proposed model is validated against two benchmark test cases and is used in order to analyse the effects that a submerged breakwater produces on wave motion.
11th International Conference on Advances in Fluid Mechanics
non-hydrostatic model; 3D simulation; high order shock-capturing WENO scheme; wave breaking; strong stability preserving Runge-Kutta (SSPRK); multigrid
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A 3D shock-capturing model for free surface flow / Cannata, Giovanni; Lasaponara, Francesco; Camilli, Flaminia; Petrelli, Chiara; Gallerano, Francesco. - STAMPA. - 1:(2016), pp. 213-222. ((Intervento presentato al convegno 11th International Conference on Advances in Fluid Mechanics tenutosi a Ancona, Italy nel 5 - 7 September, 2016 [10.2495/AFM160181].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/895629
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