Depth-averaged two dimensional model using cartesian cut-cell approach

Jennifer G. Duan, Chunshui Yu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A two-dimensional numerical model was developed for simulating free surface flow. The model is based on the solutions of two-dimensional depth averaged Navier-Stokes equations. A finite volume method is applied such that mass conservation is satisfied both locally and globally. The model adopted the two-step, high resolution MUSCL-Hancock scheme. This Godunov type scheme is used together with the approximate Riemann solver. The boundary cells are treated as cut-cells in order to accommodate arbitrarily geometries of natural rivers. An automatic wet-cell cutting algorithm is incorporated into the model so that the wet areas cut out of the mesh have cut-cells representing their boundaries. There are sixteen types of cut-cells depending on the slope of the boundary intersection with the cell. A cell merging technique is incorporated in the model that combines small cells with neighboring cells to create a larger cell that helps satisfying the CFL condition. The cut-cells approach permits a fully boundary-fitted mesh without implementing a complex mesh generation procedure for irregular geometries. The model is verified by several laboratory experiments including unsteady flow passing through cylindrical piers and dam break flow in a rectangular channel.

Original languageEnglish (US)
Title of host publicationWorld Environmental and Water Resources Congress 2011
Subtitle of host publicationBearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress
Pages2022-2030
Number of pages9
DOIs
StatePublished - Jul 21 2011
EventWorld Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Palm Springs, CA, United States
Duration: May 22 2011May 26 2011

Publication series

NameWorld Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress

Other

OtherWorld Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability
CountryUnited States
CityPalm Springs, CA
Period5/22/115/26/11

Keywords

  • Numerical models
  • Streamflow
  • Two-dimensional models

ASJC Scopus subject areas

  • Environmental Science(all)

Fingerprint Dive into the research topics of 'Depth-averaged two dimensional model using cartesian cut-cell approach'. Together they form a unique fingerprint.

  • Cite this

    Duan, J. G., & Yu, C. (2011). Depth-averaged two dimensional model using cartesian cut-cell approach. In World Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress (pp. 2022-2030). (World Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress). https://doi.org/10.1061/41173(414)212