A NONORTHOGONAL CURVILINEAR SYSTEMS-MODEL OF SPECIES TRANSPORT IN SHALLOW FLOW DOMAINS

Alistair Borthwick, ET KAAR

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Abstract

This paper is concerned with curvilinear systems modelling of pollutant transport in shallow flow domains, such as rivers, lakes and reservoirs. Prediction of the flow hydrodynamics is based on a finite difference solution of the depth-averaged Reynolds equations expressed as non-orthogonal boundary-fitted depth-averaged stream function and vorticity transport equations. Once the flow kinematics are established, the velocity field is used to drive the pollutant transport by means of a transformed depth-averaged species equation, where it is assumed that the pollutant is well mixed over the depth. Validation is carried out against analytical solutions for pure advection and pure diffusion, as well as experimental data from a circular reservoir in which the spread of dye is monitored by video camera.

Original languageEnglish
Pages (from-to)331-350
Number of pages20
JournalAdvances in Water Resources
Volume16
Issue number6
Publication statusPublished - 1993

Keywords

  • COMPUTATIONAL HYDRAULICS
  • SPECIES TRANSPORT
  • SHALLOW WATER EQUATIONS
  • CURVILINEAR SYSTEMS

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