One-dimensional flow over a plane : criteria for kinematic wave modelling

By: Pearson, C. P. (Charles Patrick), 1958-.
Material type: materialTypeLabelBookSeries: Hydrology Centre internal report ; WS1282.Publisher: Christchurch : Hydrology Centre, 1988Description: 17 p.Subject(s): KINEMATICS | FLUID FLOW | WATER FLOW | WAVES | MATHEMATICAL MODELS | ONE DIMENSIONAL FLOW | MODELLING | CATCHMENTS
Incomplete contents:
Criteria for using the kinematic wave approximation to the Saint Venant equations for shallow water flow are examined. Attention is focussed on the steady-state upstream depth, which, for the "no flow over the upstream boundary" boundary condition, is generally non-zero (proven mathematically) but in the kinematic approximation is always zero. Contours of dimensionless steady-state upstream depth over a two parameter plane are used to obtain a further criterion for kinematic wave modelling. The new criterion is consistent with, and improves upon, the existing criteria. Application of the criteria to catchment modelling is demonstrated and discussed. (auth)
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16 refs; 7 figs. Restricted indefinitely for DSIR use only

Criteria for using the kinematic wave approximation to the Saint Venant equations for shallow water flow are examined. Attention is focussed on the steady-state upstream depth, which, for the "no flow over the upstream boundary" boundary condition, is generally non-zero (proven mathematically) but in the kinematic approximation is always zero. Contours of dimensionless steady-state upstream depth over a two parameter plane are used to obtain a further criterion for kinematic wave modelling. The new criterion is consistent with, and improves upon, the existing criteria. Application of the criteria to catchment modelling is demonstrated and discussed. (auth)

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