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High‐order upwinding and the hydraulic jump
Author(s) -
Ferreira V. G.,
Tomé M. F.,
Mangiavacchi N.,
Castelo A.,
Cuminato J. A.,
Fortuna A. O.,
McKee S.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.234
Subject(s) - upwind scheme , hydraulic jump , rotational symmetry , computation , jump , mathematics , thrust , computational fluid dynamics , compressibility , mechanics , geometry , mathematical analysis , engineering , flow (mathematics) , algorithm , physics , aerospace engineering , quantum mechanics , discretization
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. Copyright © 2002 John Wiley & Sons, Ltd.