A superelement-based method for computing unsteady three-dimensional potential flows in hydraulic turbomachines

N.P. Kruyt, B.P.M. Esch, van, J.B. Jonker

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

A numerical method is presented for the computation of unsteady, three-dimensional potential flows in hydraulic pumps and turbines. The superelement method has been extended in order to eliminate slave degrees of freedom not only from the governing Laplace equation, but also from the Kutta conditions. The resulting superelement formulation is invariant under rotation. Therefore the geometrical symmetry of the flow channels in the rotor can be exploited. This makes the method especially suitable to performing fully coupled computations of the unsteady flow phenomena in both rotor and stator, the so-called rotor-stator interaction. The developed numerical method is used to simulate the unsteady flow in an industrial mixed-flow pump. Two types of simulation are considered: one in which unsteady wakes behind the trailing edges of the rotor blades are taken into account and one in which these are neglected. Results are given that show the importance of unsteady flow phenomena. However, the computed head-capacity curve is hardly influenced by whether or not unsteady wakes are taken into account. Copyright © 1999 John Wiley & Sons, Ltd.

Fingerprint

Potential Flow
Potential flow
Three-dimensional Flow
Unsteady flow
Hydraulics
Rotor
Rotors (windings)
Unsteady Flow
Stators
Computing
Numerical methods
Wake
Rotors
Pumps
Pump
Laplace equation
Numerical Methods
Channel flow
Turbomachine blades
Channel Flow

Cite this

@article{26b5431d4cca4d219d6e22d96fc10098,
title = "A superelement-based method for computing unsteady three-dimensional potential flows in hydraulic turbomachines",
abstract = "A numerical method is presented for the computation of unsteady, three-dimensional potential flows in hydraulic pumps and turbines. The superelement method has been extended in order to eliminate slave degrees of freedom not only from the governing Laplace equation, but also from the Kutta conditions. The resulting superelement formulation is invariant under rotation. Therefore the geometrical symmetry of the flow channels in the rotor can be exploited. This makes the method especially suitable to performing fully coupled computations of the unsteady flow phenomena in both rotor and stator, the so-called rotor-stator interaction. The developed numerical method is used to simulate the unsteady flow in an industrial mixed-flow pump. Two types of simulation are considered: one in which unsteady wakes behind the trailing edges of the rotor blades are taken into account and one in which these are neglected. Results are given that show the importance of unsteady flow phenomena. However, the computed head-capacity curve is hardly influenced by whether or not unsteady wakes are taken into account. Copyright {\circledC} 1999 John Wiley & Sons, Ltd.",
author = "N.P. Kruyt and {Esch, van}, B.P.M. and J.B. Jonker",
year = "1999",
doi = "10.1002/(SICI)1099-0887(199906/07)15:6<381::AID-CNM252>3.0.CO;2-K",
language = "English",
volume = "15",
pages = "381--397",
journal = "Communications in Numerical Methods in Engineering",
issn = "1069-8299",
publisher = "Wiley",
number = "6",

}

A superelement-based method for computing unsteady three-dimensional potential flows in hydraulic turbomachines. / Kruyt, N.P.; Esch, van, B.P.M.; Jonker, J.B.

In: Communications in Numerical Methods in Engineering, Vol. 15, No. 6, 1999, p. 381-397.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A superelement-based method for computing unsteady three-dimensional potential flows in hydraulic turbomachines

AU - Kruyt, N.P.

AU - Esch, van, B.P.M.

AU - Jonker, J.B.

PY - 1999

Y1 - 1999

N2 - A numerical method is presented for the computation of unsteady, three-dimensional potential flows in hydraulic pumps and turbines. The superelement method has been extended in order to eliminate slave degrees of freedom not only from the governing Laplace equation, but also from the Kutta conditions. The resulting superelement formulation is invariant under rotation. Therefore the geometrical symmetry of the flow channels in the rotor can be exploited. This makes the method especially suitable to performing fully coupled computations of the unsteady flow phenomena in both rotor and stator, the so-called rotor-stator interaction. The developed numerical method is used to simulate the unsteady flow in an industrial mixed-flow pump. Two types of simulation are considered: one in which unsteady wakes behind the trailing edges of the rotor blades are taken into account and one in which these are neglected. Results are given that show the importance of unsteady flow phenomena. However, the computed head-capacity curve is hardly influenced by whether or not unsteady wakes are taken into account. Copyright © 1999 John Wiley & Sons, Ltd.

AB - A numerical method is presented for the computation of unsteady, three-dimensional potential flows in hydraulic pumps and turbines. The superelement method has been extended in order to eliminate slave degrees of freedom not only from the governing Laplace equation, but also from the Kutta conditions. The resulting superelement formulation is invariant under rotation. Therefore the geometrical symmetry of the flow channels in the rotor can be exploited. This makes the method especially suitable to performing fully coupled computations of the unsteady flow phenomena in both rotor and stator, the so-called rotor-stator interaction. The developed numerical method is used to simulate the unsteady flow in an industrial mixed-flow pump. Two types of simulation are considered: one in which unsteady wakes behind the trailing edges of the rotor blades are taken into account and one in which these are neglected. Results are given that show the importance of unsteady flow phenomena. However, the computed head-capacity curve is hardly influenced by whether or not unsteady wakes are taken into account. Copyright © 1999 John Wiley & Sons, Ltd.

U2 - 10.1002/(SICI)1099-0887(199906/07)15:6<381::AID-CNM252>3.0.CO;2-K

DO - 10.1002/(SICI)1099-0887(199906/07)15:6<381::AID-CNM252>3.0.CO;2-K

M3 - Article

VL - 15

SP - 381

EP - 397

JO - Communications in Numerical Methods in Engineering

JF - Communications in Numerical Methods in Engineering

SN - 1069-8299

IS - 6

ER -