APPLICATION OF A TVD SOLVER IN A SUITE OF COASTAL ENGINEERING MODELS

Fengyan Shi, Gangfeng Ma, James T. Kirby, Tian-Jian Tom Hsu

Abstract


This paper describes the recent developments in a suite of coastal engineering models using Godunov-type shock-capturing schemes. The developments include a depth-integrated, wave resolving Boussinesq model, a hydrostatic, wave-averaged circulation model, and a fully 3-D non-hydrostatic model in a surface-following $\sigma$ coordinate formulation. The models implemented with the shock-capturing TVD scheme show robust performances in modeling breaking waves, nearshore circulation and coastal inundation. In this paper, we present model equations in a conservative form, MUSCLE-TVD numerical scheme and model applications. We also point out some problems caused by the TVD scheme in the recent model applications.

Keywords


coastal models; TVD solver; Boussinesq wave model; non-hydrostatic model; nearshore circulation model

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