Non-Hydrostatic Discontinuous/Continuous Galerkin Model for Wave Propagation, Breaking and Runup

This paper presents a new depth-integrated non-hydrostatic finite element model for simulating wave propagation, breaking and runup using combination of discontinuous continuous Galerkin methods. The formulation decomposes the equations into hydrostatic parts. part is solved with method to allow simulation flows, runup. led Poisson type equation, where pressure modeling propagation transformation. uses linear quadrilateral elements horizontal velocities, water surface elevations pressures approximations. A slope limiter developed. verified validated by series analytical solutions laboratory experiments.