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

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages549-583
Number of pages34
JournalInternational Journal of Numerical Methods in Fluids
Volume39
Issue number7
DOIs
Publication statusPublished - 2002

Fingerprint

Hydraulic jump
Upwinding
Hydraulics
Jump
Higher Order
Free Surface Flow
Three-dimensional Flow
Analytic Solution
Testbed
Approximation

Keywords

  • 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
McKee, S. ; Castelo, A.C. ; Fortuna, A.O. ; Cuminato, J.A. ; Tomé, M.F. ; Mangiavacchi, N. ; Ferreira, V.G. / High-order upwinding and the hydraulic jump. In: International Journal of Numerical Methods in Fluids. 2002 ; Vol. 39, No. 7. pp. 549-583.
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McKee, S, Castelo, AC, Fortuna, AO, Cuminato, JA, Tomé, MF, Mangiavacchi, N & Ferreira, VG 2002, 'High-order upwinding and the hydraulic jump' International Journal of Numerical Methods in Fluids, vol. 39, no. 7, pp. 549-583. https://doi.org/10.1002/fld.234

High-order upwinding and the hydraulic jump. / McKee, S.; Castelo, A.C.; Fortuna, A.O.; Cuminato, J.A.; Tomé, M.F.; Mangiavacchi, N.; Ferreira, V.G.

In: International Journal of Numerical Methods in Fluids, Vol. 39, No. 7, 2002, p. 549-583.

Research output: Contribution to journalArticle

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T1 - High-order upwinding and the hydraulic jump

AU - McKee, S.

AU - Castelo, A.C.

AU - Fortuna, A.O.

AU - Cuminato, J.A.

AU - Tomé, M.F.

AU - Mangiavacchi, N.

AU - Ferreira, V.G.

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

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DO - 10.1002/fld.234

M3 - Article

VL - 39

SP - 549

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JO - International Journal of Numerical Methods in Fluids

T2 - International Journal of Numerical Methods in Fluids

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