Convergence of Fourier-based time methods for turbomachinery wake passing problems

Gomar, Adrien; Bouvy, Quentin; Sicot, Frédéric; Dufour, Guillaume; Cinnella, Paola; François, Benjamin

doi:10.1016/j.jcp.2014.08.029

Cited by 9 publications

(3 citation statements)

References 26 publications

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“…It can be noticed that the mere addition of a single harmonic to the mean flow is not sufficient to reconstruct the wakes shape, although they are now correctly aligned across the interfaces. In general, the thinner are the wake, the greater is the number if harmonics necessary to reconstruct their shape [33]. When three harmonics are included in the frequency set, the situation improves dramatically, as can be seen by the comparison of Figure 2c with the reference solution in Figure 2d.…”

Section: Numerical Application: Nasa Rotor 37mentioning

confidence: 96%

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A New Framework for the Harmonic Balance Method in OpenFOAM

2022

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The Harmonic Balance Method is one of the most commonly employed Reduced Order Models for turbomachinery calculations, since it leverages the signal sparsity in the frequency domain to cast the transient equations into a coupled set of steady-state ones. The present work aims at detailing the development and validation of a new framework for the application of the Harmonic Balance Method in the open-source software OpenFOAM. The paper is conceptually divided into building blocks for the implementation of the code. For each of these, theoretical notions and coding strategies are given, and an ad hoc validation test case is presented. This structure has been chosen with the aim of easing the reader in the understanding and implementation of such a method in a generic fluid dynamics solver. In a fully open source philosophy, the library files are freely accessible in the authors’ repository (link provided below in the text).

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Section: Numerical Application: Nasa Rotor 37mentioning

confidence: 96%

“…where p 0,re f = 101 325 Pa and T 0,re f = 288.15 K. ∆p and ∆T are the total pressure and total temperature deficits, which have been selected according to the realistic values of 0.025 and −0.007, respectively, proposed by Gomar et al [33]. L is the wake width and has been selected as 25% of the blade pitch.…”

Section: Numerical Application: Nasa Rotor 37mentioning

confidence: 99%

A New Framework for the Harmonic Balance Method in OpenFOAM

2022

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“…Raymond C. Maple et al [13] has proposed an adaptive harmonic balance method to determine the number of harmonics, which is difficult to implement unfortunately. Gomar et al [14] has proposed a method of extracting tangential variations of the axial momentum to determine the number of harmonics. However, the number of harmonics predicted through this method is the same for both upstream and downstream blade row.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Numerical Analysis of Blade Row Interaction Unsteady Flows within Multi-row Turbomachines Using the Time Spectral Method

Zhang¹,

Wang²,

Huang³

2019

Proceedings of Global Power &Amp; Propulsion Society

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This paper presents a method for selecting harmonics and spinning modes for a rotor-stator interaction analysis using the time spectral method. Discrete Fourier transform of the circumferential distribution of conservative variables is performed to provide the necessary information for guiding selection of harmonics. The rules for the spinning mode selection are summarized from a lot of numerical analyses by changing the numbers of spinning modes. NASA stage 35 was used to demonstrate the effectiveness of the proposed selection method.

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