A two‐dimensional vertical non‐hydrostatic σ model with an implicit method for free‐surface flows

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Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “Meanwhile, difficulty in treating the cell-centered pressure at the top layer may arise when applying the pressure boundary condition at the free surface (Yuan and Wu, 2004a,b).”
Further experiences with computing non‐hydrostatic free‐surface flows involving water waves (2005, methodology): “In References [3, 5, 6, 9, 10, 12] a Cartesian mesh has been employed, whereas in References [4, 7, 8, 13–15, 19, 22–25] the -co-ordinate has been adopted.”