High-order upwinding and the hydraulic jump

S. McKee, A.C. Castelo, A.O. Fortuna, J.A. Cuminato, M.F. Tomé, N. Mangiavacchi, V.G. Ferreira

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25 Citations (Scopus)


This work is concerned with the computation of incompressible axisymmetric and full three-dimensional free-surface flows. In particular, the circular-hydraulic jump is simulated and compared with approximate analytic solutions. However, the principal thrust of this paper is to provide a real problem as a test bed for comparing the many existing convective approximations. Their performance is compared; SMART, HLPA and VONOS emerge as acceptable upwinding methods for this problem.
Original languageEnglish
Pages (from-to)549-583
Number of pages34
JournalInternational Journal of Numerical Methods in Fluids
Issue number7
Publication statusPublished - 2002



  • Navier-Stokes - free-surface flows - finite differences - upwinding - high-order discretization - bounded numerical scheme - hydraulic jump

Cite this

McKee, S., Castelo, A. C., Fortuna, A. O., Cuminato, J. A., Tomé, M. F., Mangiavacchi, N., & Ferreira, V. G. (2002). High-order upwinding and the hydraulic jump. International Journal of Numerical Methods in Fluids, 39(7), 549-583. https://doi.org/10.1002/fld.234