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Numerical simulation of minimum B‐jumps at abrupt drops
Author(s) -
Tokyay Nuray Denli,
AltanSakarya A. Burcu,
Eski Elvan
Publication year - 2007
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.1551
Subject(s) - mathematics , mechanics , supercritical flow , flow (mathematics) , dissipative system , finite difference , drop (telecommunication) , boundary value problem , finite difference method , steady state (chemistry) , supercritical fluid , computer simulation , computational fluid dynamics , mathematical analysis , physics , geometry , thermodynamics , engineering , chemistry , telecommunications
Abstract A numerical simulation of minimum B‐jumps in horizontal rectangular channels having an abrupt drop is given. Gradually varied, steady, supercritical flow is assumed as the initial condition. An unsteady flow is created by increasing the downstream depth. One‐dimensional, unsteady Saint‐Venant equations are solved by using the MacCormack and the dissipative two–four explicit finite difference schemes. The steady flow solution is obtained by treating the time variable as an iteration parameter and letting the solution converge to the steady state. The abrupt drop is treated as an interior boundary and solved by the method of characteristics. The results are compared with experimental and analytical studies. Copyright © 2007 John Wiley & Sons, Ltd.