Large eddy simulation of a compressor cascade and the influence of spanwise domain

A controlled diffusion compressor cascade is studied using large eddy simulation (LES). The aim of this study is to assess the capability of LES to be used in an industrial context. The Reynolds number is approximately 700 000 based on chord length and inlet velocity. A ‘thin-slice’ representation of the cascade is used as the reference grid, and the influence of a narrow span is studied by comparison simulations with a domain that has a span five times larger than the thin-slice grid. While the instantaneous flow-fields of the thin-slice and wide-domain simulations are qualitatively similar, the thin-slice simulations suffer from flow confinement problems caused by the imposition of the narrow span. The non-unity axial velocity density ratio of the flow enforces the use of inviscid wall spanwise boundaries, which have a parasitic influence on the development of the flow in the thin-slice simulations. The resultant data obtained from the thin-slice simulations are therefore compromised and the computed loss estimation is considered unreliable. However, when comparing mean quantities such as surface pressure and boundary layer growth the narrow does give reasonable predictions. While the inviscid spanwise walls also affect the flow near the boundaries in the wide domain simulations, there is sufficient region of span from which reliable flow data and loss estimations can be obtained. For blade flows at off-design conditions, a span of 20 per cent of the blade chord is sufficient to give good agreement with experimental data. This incurs a computational cost that may be too high to incorporate parametric LES studies into the design cycle of turbomachinery components with current computers.

[1]  Yekutiel. Elazar,et al.  A mapping of the viscous flow behavior in a controlled diffusion compressor cascade using laser doppler velocimetry and preliminary evaluation of codes for the prediction of stall , 1988 .

[2]  Parviz Moin,et al.  Computational Methodology for Large-Eddy Simulation of Tip-Clearance Flows , 2004 .

[3]  James J. McGuirk,et al.  On the Eect of Convective Flux Formulation for LES of Compressible Flows using Hybrid Unstructured Meshes , 2006 .

[4]  P. Durbin,et al.  Evidence of longitudinal vortices evolved from distorted wakes in a turbine passage , 2001, Journal of Fluid Mechanics.

[5]  B. Launder,et al.  Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc , 1974 .

[6]  F. Nicoud,et al.  Large-Eddy Simulation of the Shock/Turbulence Interaction , 1999 .

[7]  P. R. Voke,et al.  Large-Eddy Simulation of Unsteady Surface Pressure Over a Low-Pressure Turbine Blade due to Interactions of Passing Wakes and Inflexional Boundary Layer , 2006 .

[8]  P. Durbin,et al.  Direct Computations of Boundary Layers Distorted by Migrating Wakes in a Linear Compressor Cascade , 2009 .

[9]  R. P. Shreeve,et al.  Viscous Flow in a Controlled Diffusion Compressor Cascade With Increasing Incidence , 1989 .

[10]  Gary J. Page,et al.  Large Eddy Simulation of a Controlled-Diffusion Cascade Blade at Varying Flow Inlet Angles , 2009 .

[11]  Peter R. Voke,et al.  Large-eddy simulation of boundary-layer separation and transition at a change of surface curvature , 2001, Journal of Fluid Mechanics.

[12]  Werner Haase,et al.  Determination of length scales in algebraic turbulence models for Navier-Stokes methods , 1989 .

[13]  W. Rodi,et al.  The influence of disturbances carried by periodically incoming wakes on the separating flow around a turbine blade , 2006 .

[14]  Zhiyin Yang,et al.  Effects of free‐stream turbulence on large‐scale coherent structures of separated boundary layer transition , 2005 .

[15]  N. L. Sanger,et al.  Comparison of Calculated and Experimental Cascade Performance for Controlled-Diffusion Compressor Stator Blading , 1986 .

[16]  James J. McGuirk,et al.  Large Eddy Simulation of a complete Harrier aircraft in ground effect , 2009, The Aeronautical Journal (1968).

[17]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[18]  J. Fröhlich,et al.  Large-Eddy Simulation of Flow Around Low-Pressure Turbine Blade with Incoming Wakes , 2003 .

[19]  G. J. Walker,et al.  Boundary Layer and Navier-Stokes Analysis of a NASA Controlled-Diffusion Compressor Blade , 1990 .

[20]  K. Hanjalic,et al.  Computation of tip-leakage flow in a linear compressor cascade with a second-moment turbulence closure , 2007 .

[21]  Parviz Moin,et al.  Effects of tip-gap size on the tip-leakage flow in a turbomachinery cascade , 2006 .

[22]  P. Moinier,et al.  An Unstructured Algorithm for High ReynoldsNumber Flows on Highly-Stretched , 1998 .

[23]  W. Rodi,et al.  Direct numerical simulation of flow and heat transfer in a turbine cascade with incoming wakes , 2006, Journal of Fluid Mechanics.

[24]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[25]  R. P. Shreeve,et al.  Wake Measurements and Loss Evaluation in a Controlled Diffusion Compressor Cascade , 1990 .

[26]  Michael B. Giles,et al.  A Parallel Framework for Unstructured Grid Solvers , 1994 .

[27]  Nicholas J. Hills,et al.  Achieving high parallel performance for an unstructured unsteady turbomachinery CFD code , 2007, The Aeronautical Journal (1968).

[28]  Yuksel Koyuncu Report of tests of a compressor configuration of CD blading , 1984 .

[30]  K. Sasaki,et al.  Structure of a turbulent separation bubble , 1983, Journal of Fluid Mechanics.

[31]  James J. McGuirk,et al.  Large-eddy simulation of twin impinging jets in cross-flow , 2007, The Aeronautical Journal (1968).

[32]  Neil D. Sandham,et al.  Direct numerical simulation of ‘short’ laminar separation bubbles with turbulent reattachment , 2000, Journal of Fluid Mechanics.

[33]  P. Moin,et al.  Large-eddy simulation analysis of mechanisms for viscous losses in a turbomachinery tip-clearance flow , 2007, Journal of Fluid Mechanics.

[34]  Pierre Sagaut,et al.  A dynamic finite volume scheme for large-eddy simulation on unstructured grids , 2005 .

[35]  F. Lien,et al.  Computational prediction of flow around highly loaded compressor-cascade blades with non-linear eddy-viscosity models , 1998 .

[36]  W. A. McMullan,et al.  Large Eddy Simulation of a Controlled Diffusion Compressor Cascade , 2011 .