Velocity profiles of nonlinear shallow-water flows
Journal
Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers, Series A
Journal Volume
31
Journal Issue
1
Pages
105-120
Date Issued
2008
Author(s)
Lin, M.-Y.
Abstract
Abstract In this study, a numerical algorithm using VHS (vertical/horizontal splitting) is proposed for the simulation of vertical profiles of velocity in depth‐averaged shallow water modeling. After temporal discretization, the governing equations form a two‐point boundary value problem set, and a shooting method is then proposed to solve it. This algorithm is verified with three theoretical test cases: finite depth Ekman layer, plane laminar jet flow, and rotating disk flow. The computed results indicate good accuracy. Finally, the ability of nonlinear calculations in realistic problems is revealed by applying the present algorithm to the tidal estuary of the Zhousui River in Taiwan. This algorithm provides a simple and accurate method for depth‐averaged shallow‐water modeling to yield information on vertical profiles of velocity. Key words: nonlinear shallow‐water equationsvertical/horizontal splittingvertical profile of velocity componentstidal river Notes Corresponding author. (Tel: 886–2–87928668; Email: mylin@mac.com)
Type
journal article