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scientific documents:
this paper describes the numerical approach for solving 2DH equations with an explicit method
this paper describes the numerical approach for solving 3D equations based on multiple layers and a semi-implicit technique
this paper describes the discretization of 2DH equations on unstructured meshes with C-grid staggered primitive variables
this paper describes the numerical approach to simulate the evolution of waves and their interactions with a moored ship in coastal waters
this paper describes a two grid approach to solve non-hydrostatic pressure on a coarse grid and turbulent flow resolved on a finer subgrid
this paper explains why the staggered finite difference SWASH scheme is shock capturing (suitable for e.g. the simulation of wave breaking) without exploiting the hyperbolicity property of the inviscid shallow water equations and the associated solution of the Riemann problem
This paper also demonstrates why global momentum conservation can not be used as a measure of accuracy and robustness. (The solution may be wrong while still conserving mass and momentum globally.)
this note provides the proof of momentum conservation of the covolume method applied to the shallow water equations on unstructured triangular grids
(this note is a corrigendum to Appendix A of
this paper
)
