Research

Advisor

Dimension reduction methods in combustion chemistry

Dimension reduction is essential to the use of detailed chemical kinetics in computational combustion. Chemical mechanisms of real fuels involve more than 1000 species and reactions, and representing all the species is computationally very expensive and impractiable to use in CFD calculations. So, we are looking at new dimension reduction methods for representing chemical mechanisms involving many species in a simpler and computationally efficient way.

At present I am working on integrating two successful methods in this area – namely the tabulation algorithm, in situ adaptive tabulation (ISAT)1 and the Invariant constrained equilibrium pre image curve (ICE-PIC)2 dimension reduction method.

References

[1] L. Lu and S. B. Pope (2009) ‘‘An improved algorithm for in situ adaptive tabulation’’, Journal of Computational Physics , 228(2), 361-386.

[2] Z. Ren, S.B. Pope, A. Vladimirsky and J.M. Guckenheimer (2006) ‘‘The ICE-PIC method for the dimension reduction of chemical kinetics’’, Journal of Chemical Physics , 124, 114111.

Publications

S.B. Pope, Z. Ren, V. Hiremath (2009) ‘‘Dimension Reduction and Tabulation of Combustion Chemistry using ICE-PIC and ISAT," Second International Workshop on: MODEL REDUCTION IN REACTING FLOWS , March 30 - April 1, 2009, UNIVERSITY OF NOTRE DAME NOTRE DAME, INDIANA, USA.

Z. Ren, V. Hiremath and S.B. Pope (2009) ‘‘Dimension reduction and tabulation of combustion chemistry using ICE-PIC and ISAT," 6th US National Combustion Meeting , May 17-20, 2009, Ann Arbor, Michigan.

Posters

V. Hiremath, Z. Ren, and S. B. Pope “Dimension Reduction of Combustion Chemistry using ICE-PIC and ISAT” , Symposium on Turbulence and Combustion, August 3-4, 2009, Cornell University, Ithaca, New York 14853