Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2006 | Published
Journal Article Open

Flux corrected finite volume scheme for preserving scalar boundedness in reacting large-eddy simulations


Preserving scalar boundedness is an important prerequisite to performing large-eddy simulations of turbulent reacting flows. A number of popular combustion models use a conserved-scalar, mixture-fraction to parameterize reactions that, by definition, is bound between zero and one. To avoid unphysical clipping, the numerical scheme solving the conserved-scalar transport equation must preserve these bounds, while minimizing the amount of numerical diffusivity. To this end, a flux correction method is presented and applied to the quadratic-upwind biased interpolative convective scheme that ensures preservation of the scalar's physical bounds while retaining the low numerical diffusivity of the original quadratic-upwind biased interpolative convective scheme. It is demonstrated that this bounded quadratic-upwind biased interpolative convective scheme outperforms the third-order weighted essentially nonoscillatory scheme in maintaining spatial accuracy and reducing numerical dissipation errors both in generic test cases as well as direct numerical simulation of canonical flows.

Additional Information

Copyright © 2006 by the American Institute of Aeronautics and Astronautics, Inc. Presented as Paper 1282 at the 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 10–13 January 2005; received 15 June 2005; revision received 21 August 2006; accepted for publication 28 August 2006. This work was carried out while V. Raman was a Research Associate at the Center for Turbulence Research. The authors would like to thank Frank Ham, Magnus Svard, and Heinz Pitsch for fruitful discussions.

Attached Files

Published - HERaiaaj06.pdf


Files (1.3 MB)
Name Size Download all
1.3 MB Preview Download

Additional details

August 19, 2023
August 19, 2023