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

Guohong 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: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress
Pages2022-2030
Number of pages9
DOIs
StatePublished - 2011
EventWorld Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Palm Springs, CA, United States
Duration: May 22 2011May 26 2011

Other

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

Fingerprint

free surface flow
geometry
finite volume method
unsteady flow
pier
Navier-Stokes equations
dam
river
laboratory experiment
cutting (process)

Keywords

  • Numerical models
  • Streamflow
  • Two-dimensional models

ASJC Scopus subject areas

  • Environmental Science(all)

Cite this

Duan, 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) https://doi.org/10.1061/41173(414)212

Depth-averaged two dimensional model using cartesian cut-cell approach. / Duan, Guohong; Yu, Chunshui.

World Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress. 2011. p. 2022-2030.

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

Duan, 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, Palm Springs, CA, United States, 5/22/11. https://doi.org/10.1061/41173(414)212
Duan G, Yu C. 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. 2011. p. 2022-2030 https://doi.org/10.1061/41173(414)212
Duan, Guohong ; Yu, Chunshui. / Depth-averaged two dimensional model using cartesian cut-cell approach. World Environmental and Water Resources Congress 2011: Bearing Knowledge for Sustainability - Proceedings of the 2011 World Environmental and Water Resources Congress. 2011. pp. 2022-2030
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