Parametrization of dispersion in the depth-averaged transport equation
type: Item
instance of: scholarly article
title: Parametrization of dispersion in the depth-averaged transport equation
zbMATH Open document ID: 0817.76014
DOI: 10.1016/0307-904X(94)90144-9
author: C. Knock
author: S. C. Ryrie
published in: Applied Mathematical Modelling
publication date: 1995-07-23T00:00:00Z
review text: The presence of a vertical shear in the flow in an estuary means that the depth averaging of the Navier-Stokes equations gives rise to an extra dispersion-like term acting along the direction of flow. Here a method is developed that more realistically represents the physics involved, by defining two new coefficients: a general background dispersion coefficient and one expressing the dispersion due to the vertical shear. This scheme is applied first to a simple test problem and is then used in a model of the tidal flow within the Severn estuary, using in each case a previously developed finite-element formulation of the shallow water equations.
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 722533
zbMATH Keywords: Severn estuary
zbMATH Keywords: vertical shear
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: general background dispersion coefficient
zbMATH Keywords: tidal flow
zbMATH Keywords: shallow water equations
MaRDI profile type: Publication
cites work: A varying time step finite-element method for the shallow water equations
cites work: The dispersion of marked fluid in turbulent shear flow
cites work: Longitudinal Dispersion and Turbulent Mixing in Open-Channel Flow
description: scientific article; zbMATH DE number 722533