A Continuity Equation For Time Series Water Wave Modeling Formulated Using Weighted Total Acceleration

Syawaluddin Hutahaean

Continuity Equation, Weighted total acceleration equation.

Continuity equation for wave modeling is still being developed. There are quite a lot of versions of this equation. This research formulates continuity equation in a simple form to simplify its numerical and analytical solution. The formulation of the continuity equation is done by performing mass conservation law in a water column with free surface and by performing weighted total acceleration. Then, the continuity equation is performed along with the surface momentum equation and completed numerically to modeling one-dimensional wave dynamism. The equation is capable of modeling shoalingand breaking.

10.22161/ijaers.69.16