Premium
Three‐dimensional modeling of non‐hydrostatic free‐surface flows on unstructured grids
Author(s) -
Liu Xin,
Mohammadian Abdolmajid,
Infante Sedano Julio Ángel
Publication year - 2015
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4212
Subject(s) - discretization , unstructured grid , finite volume method , free surface , hydrostatic equilibrium , mechanics , shallow water equations , grid , conservation of mass , coordinate system , surface (topology) , hydrostatic pressure , geology , geometry , computational fluid dynamics , mathematics , physics , mathematical analysis , quantum mechanics
Summary A three‐dimensional numerical model is presented for the simulation of unsteady non‐hydrostatic shallow water flows on unstructured grids using the finite volume method. The free surface variations are modeled by a characteristics‐based scheme, which simulates sub‐critical and super‐critical flows. Three‐dimensional velocity components are considered in a collocated arrangement with a σ ‐coordinate system. A special treatment of the pressure term is developed to avoid the water surface oscillations. Convective and diffusive terms are approximated explicitly, and an implicit discretization is used for the pressure term to ensure exact mass conservation. The unstructured grid in the horizontal direction and the σ coordinate in the vertical direction facilitate the use of the model in complicated geometries. Solution of the non‐hydrostatic equations enables the model to simulate short‐period waves and vertically circulating flows. Copyright © 2015 John Wiley & Sons, Ltd.