Title: Density-based solver for all Mach number flows

Authors: Martin Heinrich; Rüdiger Schwarze

Addresses: Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Freiberg, Germany ' Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Freiberg, Germany

Abstract: A density-based solver for turbomachinery application is developed based on the central-upwind scheme of Kurganov using the open source CFD-library OpenFOAM. Preconditioning of Weiss and Smith is utilised to extend the applicability down to the incompressibility limit. Implicit residual averaging, bulk viscosity damping and local time stepping are employed to speed up the simulations. A low-storage four-stage Runge-Kutta scheme and dual time-stepping are used for time integration. The presented solver is validated using measurement data from three well-known reference cases. The inviscid performance is investigated using the circular bump test cases at incompressible, subsonic, transonic and supersonic conditions. The laminar flow around a circular cylinder is analysed and compared to analytical and experimental data. Finally, a low speed centrifugal compressor is simulated. All three cases show a very good agreement with the reference data.

Keywords: density-based solver; arbitrary Mach number; turbomachinery; validation; OpenFOAM; Mach number flows; open source CFD; computational fluid dynamics; implicit residual averaging; bulk viscosity damping; local time stepping; simulation; incompressible flow; subsonic flow; transonic flow; supersonic flow; laminar flow; circular cylinders; low speed centrifugal compressors.

DOI: 10.1504/PCFD.2016.078752

Progress in Computational Fluid Dynamics, An International Journal, 2016 Vol.16 No.5, pp.271 - 280

Received: 11 Apr 2014
Accepted: 23 Mar 2015

Published online: 05 Aug 2016 *

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