Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems

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A two‐dimensional vertical non‐hydrostatic σ model with an implicit method for free‐surface flows (2004, background): “Di culties of representing the top-layer pressure in the non-hydrostatic ow exist [17; 18].”
Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “…to describe wave dispersion up to an acceptable level with some simple treatments of pressure boundary conditions at the top layer, for example, Casulli and Stelling (1998), Casulli (1999), Casulli and Zanolli (2002), Li and Fleming (2001), Namin et al. (2001), Lin and Li (2002) and Chen (2003).”
An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal ocean simulator (2006, methodology): “In SUNTANS, the unstructured, finite-volume grid is staggered such that only the velocity components normal to the faces are stored, while all other variables are stored at the Voronoi points, which are the analogue of cell centers on Cartesian grids (see Section 3). This is similar to the method of”