Shallow flows with bottom topography

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

1 Citation (Scopus)

Abstract

This paper discusses laboratory experiments and numerical simulations of dipolar vortex flows in a shallow fluid layer with bottom topography. Two cases are considered: a step topography and a linearly sloping bottom. It is found that viscous effects – i.e., no-slip conditions at the non-horizontal parts of the bottom – play an important role in shallow flows with bottom topography. The combination of these viscous effects and the 3D nature of the bottom topography gives rise to generation of vorticity (with a vertical component), which may significantly influence the flow evolution. Obviously, such shallow flows cannot be described simply by the two-dimensional Navier-Stokes equation with an additional ‘bottom friction’ term.
LanguageEnglish
Title of host publicationEnvironmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka
EditorsW. Rodi, M. Uhlmann
Place of PublicationBoca Raton
PublisherCRC Press
Pages73-84
Number of pages456
ISBN (Print)978-0-415-67045-6
StatePublished - 2012

Publication series

NameIAHR Monograph

Fingerprint

bottom topography
vortex flow
bottom friction
Navier-Stokes equations
vorticity
topography
fluid
simulation
effect

Cite this

Heijst, van, G. J. F., Kamp, L. P. J., & Theunissen, R. (2012). Shallow flows with bottom topography. In W. Rodi, & M. Uhlmann (Eds.), Environmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka (pp. 73-84). (IAHR Monograph). Boca Raton: CRC Press.
Heijst, van, G.J.F. ; Kamp, L.P.J. ; Theunissen, R./ Shallow flows with bottom topography. Environmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka. editor / W. Rodi ; M. Uhlmann. Boca Raton : CRC Press, 2012. pp. 73-84 (IAHR Monograph).
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Heijst, van, GJF, Kamp, LPJ & Theunissen, R 2012, Shallow flows with bottom topography. in W Rodi & M Uhlmann (eds), Environmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka. IAHR Monograph, CRC Press, Boca Raton, pp. 73-84.

Shallow flows with bottom topography. / Heijst, van, G.J.F.; Kamp, L.P.J.; Theunissen, R.

Environmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka. ed. / W. Rodi; M. Uhlmann. Boca Raton : CRC Press, 2012. p. 73-84 (IAHR Monograph).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

TY - CHAP

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AB - This paper discusses laboratory experiments and numerical simulations of dipolar vortex flows in a shallow fluid layer with bottom topography. Two cases are considered: a step topography and a linearly sloping bottom. It is found that viscous effects – i.e., no-slip conditions at the non-horizontal parts of the bottom – play an important role in shallow flows with bottom topography. The combination of these viscous effects and the 3D nature of the bottom topography gives rise to generation of vorticity (with a vertical component), which may significantly influence the flow evolution. Obviously, such shallow flows cannot be described simply by the two-dimensional Navier-Stokes equation with an additional ‘bottom friction’ term.

M3 - Chapter

SN - 978-0-415-67045-6

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Heijst, van GJF, Kamp LPJ, Theunissen R. Shallow flows with bottom topography. In Rodi W, Uhlmann M, editors, Environmental fluid mechanics : memorial volume in honour of Prof. Gerhard H. Jirka. Boca Raton: CRC Press. 2012. p. 73-84. (IAHR Monograph).