NUMERICAL SIMULATION OF WAVE DAMPING INDUCED BY VEGETATION ON SOLITARY WAVE RUN-UP WITH MOMENTUM CONSERVATIVE SCHEME

In this paper, the damping effects of vegetation are investigated in shallow water model. Wave dissipation due to the inertia and drag force induced by vegetation is implemented based on Morison’s formulation. The dissipation term is added in momentum equation. The non-linear model is then solved numerically using momentum conservative scheme on staggered grid domain. To validate the numerical scheme, simulations of solitary wave propagation without vegetation are conducted and compared to the exact solution and laboratory experiment. Besides, several simulations of solitary wave with vegetation on sloping beach are also conducted with varying plant stem density. The numerical results reveal that vegetation significantly reduces the velocity of wave propagation. Additionally, an increase in vegetation stem density correlates with a decrease in solitary wave run-up.