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Numerical simulation of hydraulic jump
Author(s) -
Chippada S.,
Ramaswamy B.,
Wheeler M. F.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370807
Subject(s) - hydraulic jump , turbulence , discretization , froude number , mathematics , mechanics , jump , reynolds number , galerkin method , supercritical flow , flow (mathematics) , finite element method , mathematical analysis , geometry , physics , quantum mechanics , thermodynamics
Hydraulic jump on a straight horizontal channel with supercritical Froude numbers 2·0 and 4·0 is numerically simulated by solving the Reynolds averaged Navier–Stokes equations. Turbulence is modelled through the k –ϵ closure equations and the mixed Eulerian–Lagrangian description of flow is utilized to overcome the problem posed by moving free boundary. Time stepping is done via fractional step method and pressure is determined from Poisson's equation. Galerkin finite element method with three‐noded triangular elements is used for spatial discretization. A detailed study of the internal and external characteristics of hydraulic jump is done and compared with experimental values where possible. Surface roller and recirculation zone are found to play a dominant role in turbulence generation and dissipation.