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Fluid flows around turbomachinery using an explicit pseudo-temporal Euler FEM (1995)

Nigro, N. ; Storti, M. ; Idelsohn, S.

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 11 (1995), S. 199-211

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ISSN: 1069-8299

Schlagwort(e): SUPG ; Petrov-Galerkin methods ; finite elements ; explicit scheme ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: This work is devoted to the simulation by finite elements of nearly incompressible inviscid flows in real 3D geometries, by means of an Euler code based on the SUPG (streamline upwind Petrov-Galerkin) method, explicit forward Euler pseudo-temporal time integration and periodic and absorbing boundary conditions, among other features. The main goal is the application to flow around turbomachinery, with special emphasis on the performance analysis of a given machine, that involves several numerical computations at different operation points. Finally, these results are summarized in the form of characteristic curves.

Zusätzliches Material: 14 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/cnm.1640110303

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Digitale Medien

Two-phase flow modelling in gas-stirred liquid vessels with SUPG-stabilized equal-order interpolations (1994)

Nigro, N. ; Storti, M. ; Idelsohn, S.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 19 (1994), S. 1-22

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ISSN: 0271-2091

Schlagwort(e): Ladle ; Two-phase flow ; Navier-Stokes ; SUPG ; Streamline diffusion ; Stabilized algorithm ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: The modelling of liquid flow in gas-stirred vessels is described. A simple two-phase model accounts for the buoyancy effect of bubbles. Friction between liquid and gas is modelled with the hypothesis of independent bubbles. The resulting PDE system is discretized with an original version of the SUPG-FEM technique which stabilizes both the convection term and equal-order interpolations for velocity and pressure, which are known to be unstable for incompressible flows. The resulting steady state discrete system is solved via pseudotemporal explicit iteration with a local time step and a preconditioning to homogenize the temporal scales for liquid and gas.

Zusätzliches Material: 16 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650190103

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Finite element analysis of the axially symmetric motion of an incompressible viscous fluid in a spherical annulus (1994)

Ni, W. ; Nigro, N. J.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 19 (1994), S. 207-236

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ISSN: 0271-2091

Schlagwort(e): Finite element ; Fluid flow ; Rotating sphere ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: This paper presents results obtained by employing a modified Galerkin finite element method to analyse the steady state flow of a fluid contained between two concentric, rotating spheres. The spheres are assumed to be rigid and the cavity region between the spheres is filled with an incompressible, viscous, Newtonian fluid. The inner sphere is constrained to rotate about a vertical axis with a prescribed angular velocity, while the outer sphere is fixed. Results for the circumferential function Ω, streamfunction ψ, vorticity function ζ and inner boundary torque T1 are presented for Reynolds numbers Re ≤ 2000 and radius ratios 0.1 ≤ α ≤ 0.9. The method proved effective for obtaining results for a wide range of radius ratios (0.1 ≤ α ≤ 0.9) and Reynolds numbers (0 ≤ Re ≤ 2000). Previous investigators who employed the finite difference method experienced difficulties in obtaining results for cases with radius ratios α ≤ 0.2, except for small Reynolds numbers (Re ≤ 100). Results for Ω, Ψ, ζ and T1 obtained in this study for radius ratios 0.8 ≤ α ≤ 0.9 verified the development of Taylor vortices reported by other investigators. The research indicates that the method may be useful for analysing other non-linear fluid flow problems.

Zusätzliches Material: 23 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650190303

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