Natural and Forced Convection Simulation Using the Velocity-Vorticity Approach

Skerget, P.; Alujevic, A.; Brebbia, Carlos Alberto; Kühn, G.

doi:10.1007/978-3-642-83683-1_4

Cited by 16 publications

(13 citation statements)

References 7 publications

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“…Eq. (5) has to be written in its tangential or normal form to produce a non-singular system matrix [18]. The final discrete forms of the flow kinematics equation are normal (8) and tangential (9) forms: …”

Section: The Navier -Stokes Equationsmentioning

confidence: 99%

The wavelet transform for BEM computational fluid dynamics

Ravnik

Škerget

Hriberšek

2004

Engineering Analysis with Boundary Elements

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Section: The Navier -Stokes Equationsmentioning

confidence: 99%

The wavelet transform for BEM computational fluid dynamics

Ravnik

Škerget

Hriberšek

2004

Engineering Analysis with Boundary Elements

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“…The singular boundary-domain integral representation for the velocity vector can be formulated by using the Green theorems for scalar functions or weighting residuals technique rendering the following vector integral formulation [1][2][3][4][5][6][7][8][9][10]), e.g. the plane two-dimensional kinematics is given by two scalar equations as follows…”

Section: Boundary-domain Integral Equationsmentioning

confidence: 99%

Numerical analysis of compressible fluid flow in a channel with sharp contractions

Skerget¹,

Ravnik²

2007

WIT Transactions on Modelling and Simulation, Vol 44

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The problem of unsteady fluid flow in a channel with a sharp contraction is studied numerically. An incompressible and full compressible Navier-Stokes set of equations is considered. The thermal energy equation is written in its most general form including the Rayleigh and reversible expansion rate terms. Flows for different Reynolds number values are studied in the context of unsteadiness of the flow. The influence of the additional nonlinearity due to compressibility of the fluid, dissipation and reversible rate of work are analyzed. Also, their influence on the stability of the flow is considered.The boundary element numerical model is used, with the velocity vorticity formulation of the Navier-Stokes equations. The pressure field is evaluated from the pressure Poisson equation. Material properties are taken to be for the ideal fluid (air), and assumed to be pressure and temperature dependent.

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“…Vorticity is defined by ω = ∇ × v and is also divergence free. When introducing the velocity vorticity formulation (Škerget et al [5]) one combines the velocity and vorticity into the kinematics equation…”

Section: − ω Lesmentioning

confidence: 99%

Velocity vorticity-based large eddy simulation with the boundary element method

Ravnik¹,

Škerget²,

Hriberšek³

2006

WIT Transactions on Engineering Sciences, Vol 52

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A large eddy simulation using velocity-vorticity formulation of the incompressible Navier-Stokes equations in combination with the turbulent heat transfer equation is proposed for the solution of the turbulent natural convection drive flow in a 1:4 enclosure. The system of equations is closed by an enstrophy based subgrid scale model. The Prandtl turbulent number is used to estimate turbulent diffusion in the heat transfer equation. The boundary element method is used to solve the kinematics equation and estimate the boundary vorticity values. The vorticity transport equation is solved by the finite element method. The numerical example investigated in the paper is the onset of a turbulent flow regime occurring at high Rayleigh number values (Ra = 10 7 −10 10 ). The formation of vortices in the boundary layer is observed, along with buoyancy driven diffusive convective transport. Quantitative comparison with the laminar flow model and the work of other authors is also presented in terms of Nusselt number value oscillations.

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Natural and Forced Convection Simulation Using the Velocity-Vorticity Approach

Cited by 16 publications

References 7 publications

The wavelet transform for BEM computational fluid dynamics

The wavelet transform for BEM computational fluid dynamics

Numerical analysis of compressible fluid flow in a channel with sharp contractions

Velocity vorticity-based large eddy simulation with the boundary element method

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