Models of non-Boussinesq lock-exchange flow

AMS Citation:
Rotunno, R., J. B. Klemp, G. H. Bryan, and D. J. Muraki, 2011: Models of non-Boussinesq lock-exchange flow. Journal of Fluid Mechanics, 675, 26 pp, doi:10.1017/jfm.2010.648.
Date:2011-05-01
Resource Type:article
Title:Models of non-Boussinesq lock-exchange flow
Abstract: Nearly all analytical models of lock-exchange flow are based on the shallow-water approximation. Since the latter approximation fails at the leading edges of the mutually intruding fluids of lock-exchange flow, solutions to the shallow-water equations can be obtained only through the specification of front conditions. In the present paper, analytic solutions to the shallow-water equations for non-Boussinesq lock-exchange flow are given for front conditions deriving from free-boundary arguments. Analytic solutions are also derived for other proposed front conditions--conditions which appear to the shallow-water system as forced boundary conditions. Both solutions to the shallow-water equations are compared with the numerical solutions of the Navier-Stokes equations and a mixture of successes and failures is recorded. The apparent success of some aspects of the forced solutions of the shallow-water equations, together with the fact that in a real fluid the density interface is a free boundary, shows the need for an improved theory of lock-exchange flow taking into account non-hydrostatic effects for density interfaces intersecting rigid boundaries.
Subject(s):Gravity currents, Shallow water flows, Turbulence simulation
Peer Review:Refereed
Copyright Information:An edited version of this paper was published by the Cambridge University Press. Copyright 2011 Cambridge University Press.
OpenSky citable URL: ark:/85065/d7ns0vf4
Publisher's Version: 10.1017/jfm.2010.648
Author(s):
  • Richard Rotunno - NCAR/UCAR
  • Joseph Klemp - NCAR/UCAR
  • George Bryan - NCAR/UCAR
  • D. Muraki
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