A viscous numerical wave tank based on immersed-boundary generalized harmonic polynomial cell (IB-GHPC) method: Accuracy, validation and application

A novel two-dimensional numerical wave tank based on the two-phase Navier–Stokes equations (NSEs) is presented. The popular projection method applied to decouple pressure and velocity fields, while solutions are uniquely enhanced by a newly-developed immersed-boundary generalized harmonic polynomial cell (IB-GHPC) for Poisson equation, which lies at heart of method. GHPC method, originally proposed constant-coefficient has been employed in solving single-phase NSEs with success, though it cannot be directly flows. In this paper, we show that can still used flow problems introducing pressure-correction By considering generation propagation, accuracy convergence rate present model demonstrated. solver further validated against tests propagation over submerged breakwater, perforated plate oscillatory flows incident waves. Excellent agreement benchmark results confirms validity new towards more general wave–structure-interaction problems. free-surface effect loads investigated through applications model.