Performance assessment of OpenFOAM and FLOW-3D in the numerical modeling of a low Reynolds number hydraulic jump
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"Performance assessment of OpenFOAM ..." refers background or methods in this paper
...Nomenclature Acronyms CFD Computational fluid dynamics DNS Direct numerical simulation LES Large eddy simulation RANS Reynolds averaged NaviereStokes RNG Re-normalization group VOF Volume of fluid FVM Finite volume method TKE Turbulent kinetic energy FFT Fast Fourier transform ACF Auto correlation function PSD Power spectrum density Sub- and super-indices 1 Relative to upstream of hydraulic jump 2 Relative to downstream of hydraulic jump * Relative to classic hydraulic jump Exp Relative to experimental results t Relative to turbulence s Relative to flow recirculation min Relative to minimum value max Relative to maximum value Symbols xixjxk Cartesian coordinates uiujuk Velocity components X Dimensionless longitudinal coordinate Z Dimensionless vertical coordinate U Dimensionless velocity t Time p Pressure r Density m Dynamic viscosity y Kinematic viscosity g Acceleration of gravity f Frequency fb Body forces Q q Water flow rate Specific flow rate y Flow depth H Hydraulic head DH Hydraulic head drop G Water free surface profile b Channel width Y Sequent depth h Hydraulic jump efficiency x0 Hydraulic jump toe position xr Roller end position xj Hydraulic jump end position Lr Roller length Lj Hydraulic jump length a Water fraction k Turbulent kinetic energy ε Turbulent kinetic energy dissipation rate Pk Production of TKE C1εC2εC3εsksε k-ε turbulence model parameters d Distance to wall ut Shear velocity xþyþ Dimensionless wall coordinates x Flow property g TKE decay factor s TKE threshold r2 Coefficient of determination uc Compression velocity Dx Mesh element size u Flow aspect ratio d0 Distance from streambed to maximum velocity Fluid mechanics numbers Fr Froude number Re Reynolds number We Weber number Cr Courant number...
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...A Volume Of Fluid (VOF) method is used to track the airewater interface, consequently aeration is modeled using an EulerianeEulerian approach....
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...FLOW-3D is a commercial software package based as well on the FVM, developed by FlowScience, Inc. FLOW-3D includes the Volume of Fluid (VOF) method as originally described by Hirt and Nichols (1981)....
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...Despite the VOF method can be applied to variable-density flows (Chen and Li, 1998), in this particular case NaviereStokes equations are used in their incompressible form (this assumption can generally be done in flows where the Mach number is Ma 0.3)....
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...An additional transport equation must be approximated to determine the value of the fluid fraction throughout the computational domain (Hirt and Nichols, 1981):...
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"Performance assessment of OpenFOAM ..." refers background in this paper
...An extended description of RANS equations and turbulence closures can be found in Pope (2000) and Wilcox (1998)....
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...882 that the maximum errors take place in the swirling region, where turbulence models are most prone to fail in reproducing the flow behavior (Wilcox, 1998)....
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...It is therefore expectable that the maximum errors take place in the swirling region, where turbulence models are most prone to fail in reproducing the flow behavior (Wilcox, 1998)....
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5,013 citations
"Performance assessment of OpenFOAM ..." refers background or methods in this paper
...Lower values of Fr1 lead to undular or transition jumps, characterized by lower efficiencies and formation of waves of irregular period (Fawer, 1937; Chow, 1959; Chanson and Montes, 1995)....
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...One of the main reasons is that hydraulic jumps are the most used method to dissipate energy in hydraulic structures (Chow, 1959)....
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3,987 citations
"Performance assessment of OpenFOAM ..." refers background in this paper
...OpenFOAM (2011) is a freely available open source platform containing several Cþþ libraries and applications which can numerically solve continuum mechanics problems (Weller et al., 1998)....
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