A new three-dimensional finite-volume non-hydrostatic shock-capturing model for free surface flow

作者：Gallerano Francesco; Cannata Giovanni^*; Lasaponara Francesco; Petrelli Chiara

来源：Journal of Hydrodynamics, 2017, 29(4): 552-566.

DOI：10.1016/S1001-6058(16)60768-0

• Three-dimensional simulation
• non-hydrostatic
• wave-structure interaction
• flow-structure interaction
• shock-capturing

In this paper a new finite-volume non-hydrostatic and shock-capturing three-dimensional 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 Navier-Stokes equations which are solved on a time dependent coordinate system: a coordinate transformation maps the varying coordinates in the physical domain to a uniform transformed space. The equations of motion are discretized by means of a finite-volume shock-capturing numerical procedure based on high order WENO reconstructions. The solution procedure for the equations of motion uses a third 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 several benchmark test cases.

• 出版日期2017-8