Modifying an unstructured Roe solver for large eddy simulation

© 2015 American Institute of Aeronautics and Astronautics Inc. All rights reserved. With the ever increasing availability of computing power, attention is being turned to large eddy simulation as a design tool at the component level. To maintain integration with pre-existing design processes based on solving the Reynolds Averaged Navier-Stokes equations, legacy RANS codes are being pressed into service with minimal adaptation to perform large eddy simulations. Often, these legacy RANS solvers are based around the approximate Riemann solver of Roe. It is shown here that the Roe scheme is not ideally suited to large eddy simulations, and may require excessive user care to extract worthwhile information — a process not always possible within design timeframes. A different discretisation scheme, which is shown to conserve kinetic energy, but which also shares some of the favourable structural behaviour of Roe’s is implemented, and is then tested on a range of geometries, both canonical and industrial. One of the advantages of this approach is its ability to eliminate the smoothing terms which have a strong deleterious affect on the LES performance of Roe. This allows explicit subgrid models to be sensibly applied. The new scheme, with explicit turbulence modelling, is found to outperform the Roe scheme for LES in all of the test cases.

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

[2]  Paul G. Tucker,et al.  Hybrid LES computations and measurements of a small scale high speed coflowing jet , 2010 .

[3]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[4]  H. Bauer,et al.  Film Cooling Effectiveness and Heat Transfer on the Trailing Edge Cutback of Gas Turbine Airfoils With Various Internal Cooling Designs , 2006 .

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

[6]  J. H. Whitelaw,et al.  An experimental investigation of the influence of slot-lip-thickness on the impervious-wall effectiveness of the uniform-density, two-dimensional wall jet , 1969 .

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

[8]  Paul G. Tucker,et al.  Numerical Simulation of Single-Stream Jets from a Serrated Nozzle , 2012 .

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

[10]  Nicholas J. Hills,et al.  Large-Eddy simulation of rim seal ingestion , 2011 .

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

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

[13]  Paul G. Tucker,et al.  Large-Eddy Simulations and Measurements of a Small-Scale High-Speed Coflowing Jet , 2010 .