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Research Papers: Flows in Complex Systems

New Simplified Algorithm for the Multiple Rotating Frame Approach in Computational Fluid Dynamics

[+] Author and Article Information
Lakhdar Remaki

Mem. ASME
Basque Center for Applied Mathematics (BCAM),
Alameda Mazarredo 14,
Bilbao 48009, Spain;
Department of Mathematics
and Computer Science,
Alfaisal University,
Riyadh 11533, Kingdom of Saudi Arabia
e-mail: lremaki@bcamath.org

Ali Ramezani

Basque Center for Applied Mathematics (BCAM),
Alameda Mazarredo 14,
Bilbao 48009, Spain
e-mail: aramezani@bcamath.org

Jesus Maria Blanco

Professor
Mem. ASME
Department of Nuclear Engineering and
Fluid Mechanics,
University of the Basque Country,
Alameda Urquijo s/n,
Bilbao 48013, Spain
e-mail: jesus.blanco@upv.net

Imanol Garcia

Basque Center for Applied Mathematics (BCAM),
Alameda Mazarredo 14,
Bilbao 48009, Spain
e-mail: igarcia@bcamath.org

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 20, 2015; final manuscript received March 2, 2017; published online June 2, 2017. Assoc. Editor: Satoshi Watanabe.

J. Fluids Eng 139(8), 081104 (Jun 02, 2017) (10 pages) Paper No: FE-15-1270; doi: 10.1115/1.4036300 History: Received April 20, 2015; Revised March 02, 2017

This paper deals with rotating effects simulation of steady flows in turbomachinery. To take into account the rotating nature of the flow, the frozen rotor approach is one of the widely used approaches. This technique, known in a more general context as a multiple rotating frame (MRF), consists on building axisymmetric interfaces around the rotating parts and solves for the flow in different frames (static and rotating). This paper aimed to revisit this technique and propose a new algorithm referred to it by a virtual multiple rotating frame (VMRF). The goal is to replace the geometrical interfaces (part of the computer-aided design (CAD)) that separate the rotating parts replaced by the virtual ones created at the solver level by a simple user input of few point locations and/or parameters of basic shapes. The new algorithm renders the MRF method easy to implement, especially for edge-based numerical schemes, and very simple to use. Moreover, it allows avoiding any remeshing (required by the MRF approach) when one needs to change the interface position, shape, or simply remove or add a new one, which frequently happened in practice. Consequently, the new algorithm sensibly reduces the overall computations cost of a simulation. This work is an extension of a first version published in an ASME conference, and the main new contributions are the detailed description of the new algorithm in the context of cell-vertex finite volume method and the validation of the method for viscous flows and the three-dimensional (3D) case which is of significant importance to the method to be attractive for real and industrial applications.

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Figures

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Fig. 1

(a) Illustration of the part of the dual mesh cell surrounding node I within a tetrahedral cell. (b) Illustration of the dual mesh cell surrounding an internal node I.

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Fig. 2

Control volumes on matching nodes at the interface

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Fig. 3

Example of interfaces obtained by revolving curves

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Fig. 4

Control volume on virtual zones at the interface

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Fig. 5

The dual-cell interface separating rotating and static zones

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Fig. 6

VMRF simulation: Mach contours and streamlines

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Fig. 8

Pressure profile comparison: (a) fluent and (b) bbiped

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Fig. 9

Pressure profiles comparison along an arbitrary line

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Fig. 10

The virtual interface separating the rotating blades from the rest of the domain

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Fig. 12

Cp profile at different sections of the blade: Comparison VMRF versus MRF

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Fig. 13

Comparison VMRF versus experimental data

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Fig. 14

Two-dimensional simplified model of a centrifugal pump

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Fig. 15

Used mesh: (a) two zones MRF mesh and (b) single VMRF mesh

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Fig. 16

Streamlines on nonmatched meshes: (a) MRF results and (b) VMRF results

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Fig. 17

Streamlines on matched meshes: (a) MRF results and (b) VMRF results

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Fig. 18

Pressure profiles comparison along the impeller outlet midspan: VMRF versus MRF

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