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

doi:10.1002/fld.234

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

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

26 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.

Original language	English
Pages (from-to)	549-583
Number of pages	34
Journal	International Journal of Numerical Methods in Fluids
Volume	39
Issue number	7
DOIs	https://doi.org/10.1002/fld.234
Publication status	Published - 2002

Keywords

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

Access to Document

10.1002/fld.234

http://dx.doi.org/10.1002/fld.234

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Cite this

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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.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

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

UR - http://dx.doi.org/10.1002/fld.234

U2 - 10.1002/fld.234

DO - 10.1002/fld.234

M3 - Article

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JO - International Journal of Numerical Methods in Fluids

JF - International Journal of Numerical Methods in Fluids

SN - 0271-2091

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ER -