Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Beyond Shallow Water: Appraisal of a numerical approach to hydraulic jumps based upon the Boundary Layer theory
KTH, School of Engineering Sciences (SCI), Engineering Mechanics.
Sorbonne Université, CNRS, Institut Jean le Rond d'Alembert, Paris, 75005, France.
Sorbonne Université, CNRS, Institut Jean le Rond d'Alembert, Paris, 75005, France.
Sorbonne Université, CNRS, Institut Jean le Rond d'Alembert, Paris, 75005, France.
2020 (English)In: European journal of mechanics. B, Fluids, ISSN 0997-7546, E-ISSN 1873-7390, Vol. 79, p. 233-246Article in journal (Refereed) Published
Abstract [en]

We study the flow of a thin layer of fluid over a flat surface. Commonly, the 1-D Shallow-water or Saint-Venant set of equations are used to compute the solution of such flows. These simplified equations may be obtained through the integration of the Navier–Stokes equations over the depth of the fluid, but their solution requires the introduction of constitutive relations based on strict hypothesis on the flow régime. Here, we present an approach based on a kind of boundary layer system with hydrostatic pressure. This relaxes the need for closure relations which are instead obtained as solutions of the computation. It is then demonstrated that the corresponding closures are very dependent on the type of flow considered, for example laminar viscous slumps or hydraulic jumps. This has important practical consequences as far as the applicability of standard closures is concerned.

Place, publisher, year, edition, pages
Elsevier Ltd , 2020. Vol. 79, p. 233-246
Keywords [en]
Boundary layer flows, Saint-Venant, Shallow water, Boundary layer flow, Computation theory, Hydraulic jump, Hydrostatic pressure, Navier Stokes equations, Boundary layer systems, Boundary layer theory, Constitutive relations, Numerical approaches, Shallow waters, Simplified equations, Stokes equations, Boundary layers
National Category
Fluid Mechanics and Acoustics
Research subject
SRA - E-Science (SeRC); Engineering Mechanics; Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-263437DOI: 10.1016/j.euromechflu.2019.09.010ISI: 000503315100021Scopus ID: 2-s2.0-85072586190OAI: oai:DiVA.org:kth-263437DiVA, id: diva2:1375582
Note

QC 20191205

Available from: 2019-12-05 Created: 2019-12-05 Last updated: 2020-01-15Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

De Vita, Francesco

Search in DiVA

By author/editor
De Vita, Francesco
By organisation
Engineering Mechanics
In the same journal
European journal of mechanics. B, Fluids
Fluid Mechanics and Acoustics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 55 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf