Contribution of Boussinesq pressure and bottom roughness terms for open channel flows with shocks

  • Authors:
  • Prasada Rao

  • Affiliations:
  • Civil and Environmental Engineering Department, P.O. Box 90287, Duke University, Durham NC

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2002

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Abstract

For high-velocity flows accompanied with hydraulic jump, this paper attempts to evaluate the contribution of non-hydrostatic (i.e., Boussinesq) pressure term and the bottom roughness coefficient. To perform this analysis, we have solved the one-dimensional Boussinesq equations using a high-resolution scheme. As a critical flow case, the test problem had an upstream Froude number of 6.00. The results indicate that while the contribution of Boussinesq term is minimal, the effect of roughness coefficient on the location of stationary wave profile is significant.