In the last decades, CFD simulations of free surface flows have become a key tool in engineering analysis in the design of marine structures. To be able to obtain valid estimates of environmental stress on ship-wave hydrodynamics, offshore wind turbines, wave energy converters, and offshore production systems the CFD tools need to be able to account for non-linear wave-wave and wave-body interaction. Traditionally free surface water simulation has been simulated using lower order methods, however recently spectral element methods have been used [2]. In contrast to earlier work, in the present article, we simulate 2D free surface waves using a mimetic spectral element method. This ensures that the invariants of the system mass, momentum, and energy are conserved throughout the simulation.
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