Reduced order modelling method via proper orthogonal decomposition (POD) for flow around an oscillating cylinder

Liberge, Erwan; Hamdouni, Aziz

doi:10.1016/j.jfluidstructs.2009.10.006

Cited by 128 publications

(78 citation statements)

References 35 publications

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“…7 and 8). This corresponds to the estimated analytical solution, 3 which can be decomposed into one function product. This implies that PGD is an optimal representation of the solution to the 2D Stokes Problem.…”

Section: à3mentioning

confidence: 99%

“…In such a situation, the benefit of the method goes beyond simple saving of CPU and provides a feasible solution for otherwise intractable problems. For more standard discretisation, such as 200 3 , we are now achieving better time-saving than for the 2D case, but this work is still in progress.…”

Section: Conclusion and Further Developmentsmentioning

confidence: 99%

“…The most popular reduced-order modelling technique is the proper orthogonal decomposition (POD) [1][2][3][4][5][6][7][8]. POD uses a set of snapshots generated by evaluating the computational solution of a transient problem at several time points.…”

Section: Introductionmentioning

confidence: 99%

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Proper general decomposition (PGD) for the resolution of Navier–Stokes equations

Dumon¹,

Allery²,

Ammar³

2011

Journal of Computational Physics

111

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. b s t r a c tIn this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the Navier-Stokes problem in the case of the lid-driven cavity for different Reynolds numbers (Re = 100, 1000 and 10,000). Finally, the PGD method will be compared to the standard resolution technique, both in terms of CPU time and accuracy.

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Section: à3mentioning

confidence: 99%

Section: Conclusion and Further Developmentsmentioning

confidence: 99%

See 1 more Smart Citation

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations

Dumon¹,

Allery²,

Ammar³

2011

Journal of Computational Physics

111

View full text Add to dashboard Cite

show abstract

“…The three-dimensional aspect of the flow and of the fluid-structure interactions added to the large number of tubes and their reciprocal interactions force us to lead long-time calculations, in order to be as precise as possible. One of the existing alternatives to these restrictive situations from an industrial point of view is to have recourse to reduced-order models [1,11,2,9,19,21] such as POD (Proper Orthogonal Decomposition) [29,14,17]. It is thus possible to make numerical calculations in a very short time, and this paves the way to lead parametric studies or even real-time control.…”

Section: Introductionmentioning

confidence: 99%

“…Here, the challenge consists in the adaptation of POD to the case of fluid-structure interaction problems. Liberge & Hamdouni [19,20] proposed an efficient way to cope with the moving fluid-structure interface; this method is called "Multiphase-POD" : the idea is to consider the whole system (fluid and structure domains) as a unique multiphase domain. The advantages of this technique are numerous.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Tube-Bundle Flow-Induced Vibrations With Multiphase-Pod Approach

Pomarede¹,

Liberge²,

Hamdouni³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. Fluid-Structure Interactions are present in a large number of systems of nuclear power plants and nuclear on-board stoke-holds. Particularly in steam generators, where tube bundles are submitted to cross-flow which can lead to structure vibrations. We know that numerical studies of such a complex mechanism is very costly, that is why we propose the use of reduced-order methods in order to reduce calculation times and to make easier parametric studies for such problems. We use the multiphase-POD approach, which is an adaptation of the classical POD approach to the case of a moving structure in a flow, considering the whole system (fluid and structure) as a multiphase domain. We are interested in the case of large displacements of a structure moving in a fluid, in order to observe the ability of the multiphase-POD technique to give a satisfying solution reconstruction. We obtain very interesting results for the case of a single circular cylinder in cross-flow (lock-in phenomenon). Then we present the application of the method to a case of confined cylinders in large displacements too. Here again, results are encouraging. An on-going work consist in going further testing parametric studies with POD-Galerkin approach and with POD basis interpolation. A future work will consist in applications to fluid-structure interactions.

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Calculating Hydrodynamic Flows

Liberge

2022

Fluid–Structure Interaction

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Reduced order modelling method via proper orthogonal decomposition (POD) for flow around an oscillating cylinder

Cited by 128 publications

References 35 publications

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations

Numerical Study of Tube-Bundle Flow-Induced Vibrations With Multiphase-Pod Approach

Calculating Hydrodynamic Flows

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