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

[+] Author and Article Information
Lakhdar Remaki

Research Professor, Member of ASME BCAM Basque Center for Applied Mathematics Alameda Mazarredo 14, 48009 Bilbao, SpainAssociate professor, Department of Mathematics and Computer Science Alfaisal University Riyadh, KSA

Ali Ramezani

BCAM researcher BCAM Basque Center for Applied Mathematics Alameda Mazarredo 14, 48009 Bilbao, Spain

Jesus Maria Blanco

Professor, Member of ASME University of the Basque Country Alameda Urquijo s/n 48013 Bilbao, Spain

Imanol Garcia

PhD Student BCAM Basque Center for Applied Mathematics Alameda Mazarredo 14, 48009 Bilbao, Spain

1Corresponding author.

ASME 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 most popular used approach. This techniques, known in a more general contexts as a multiple rotating frame (MRF), consists on building axisymmetric interfaces around the rotating parts and solve for the flow in different frames (static and rotating). This paper aimed to revisit this technique and propose a new algorithm (VMRF) where the geometrical interfaces (part of the CAD) that separate the rotating parts are replaced by a virtual ones created at the solver level by a simple user input of few points locations and/or parameters of basic shapes, rendering the method easy to implement especially for edge-based numerical schemes, very simple to use and avoiding any re-meshing (required by the MRF approach) when one needs to change interface position, shape or simply remove or add new one, which frequently happened in practice.Consequently, the new algorithm reduces sensibly 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 the three dimensional case which is of a big importance to the method to be attractive for real and industrial applications.

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