Power law fluid model on wave mitigation, 2D simulation using smoothed particle hydrodynamics

Abstract

Abstract This article is focused on numerical modelling to describe influence of coastal vegetation in wave mitigation. The model based on Navier-Stokes equations with stress tensor written in power law model. Numerical approach used to solve the problem is SPH (Smoothed Particle Hydrodynamics). Three numerical simulation are conducted; plane Couette-Poiseuille flow, wave mitigation on flat bottom, and wave mitigation on incline bottom. The first simulation shows that our numerical results are in good agreement with analytic solution provided in [13]. The second simulation shows that existence of the coastal vegetation reduce the wave amplitude. Whereas the last simulation shows that the vegetation reduce the run up height. Further, the power law constant influences how high the run up.