Abstract
The complexity associated with the DNS calculation of chemically-reacting high-speed mixing layers is briefly reviewed in this paper, with a focus on recent understanding of the three-mode mixing mechanism. The extension of the foregoing is of interest but requires the implementation of high-order finite difference formulas on supercomputers in order to take advantage of the massive parallelization. The high-order differencing and filtering formulas are complicated to parallelize. This paper therefore presents the progress that has been made toward the development of an efficient and scalable parallel procedure for investigating nonlinear three-mode mixing mechanisms.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Brown, G. and Roshko, A. (1974). On density effects and large structure in turbulent mixing layers, J. Fluid Mech. 64, 775.
Cai, X.D., Ladeinde, F. and O’Brien, E.E. (1997). Parallel DNS on the SP2 with MPI, the First AFOSR International Conference on DNS/LES held at Louisiana Tech University, Ruston, Louisiana, USA.
Card, J.M., Ryden, R. and Williams, F.A. (1996). Influences of flame-vortex interactions on formation of oxides of nitrogen in curved methane-air diffusion flamelets, Comb. and Flame 105(3), 373.
Chakraborty, D., Upadhyaya, H.V., Paul, P.J. and Mukunda, H.S., (1997) A thermochemical exploration of a two-dimensional reacting supersonic mixing layer, Phys. Fluids 9, No.11, 3513.
Curran, E.T. (1991). “Introduction” in High-speed fly propulsion systems edited by S.N.B. Murthy and E.T. Curran.
Day, M.J., Reynolds, W.C. and Mansour, N.N. (1998). The structure of the compressible reacting mixing laver: Insights from linear stability analysis, Phys. Fluids 10, No.4, 993.
Gaitonde, D. and Shang, J.S. (1997). Optimized compact-difference-based finite-volume schemes for linear wave phenomena. J. Comp. Phys. 138:617–643.
Gaitonde, D. and Visbal, M.R. (1999). Further development of a Navier-Stokes solution procedure on high-order formulas. AIAA Paper 99-0557.
Lele, S.K. (1992). Compact finite difference schemes with spectral-like resolution, J. Comp. Phys. 103, 16.
Miller, R.S., Madnia, C.K. and Givi, P. (1994). Structure of a Turbulent reacting mixing layer, Comb. Sci. and Tech. 99(3), 1.
Planche, O.H. and Reynolds, W.C. (1992). A numerical investigation of the compressible mixing reacting mixing layer, Report No. TF-56, Department of Mechanical Engineering, Stanford University.
Povitsky, A. (1998) Parallel directionally split solver based on reformulation of pipelined Thomas algorithm. ICASE Report No.98-45.
Sun, X.-H. and Moitra, S. (1996). A fast parallel tridiagonal algorithm for a class CFD applications. NASA TP 3585.
Visbal, M.R. and Gaitonde, D. (1998). High-order accurate methods for unsteady vortical flows on curvilinear meshes. AIAA Paper 98-0131.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Cai, X., Ladeinde, F. (1999). DNS of Compressible Reacting Mixing Layers with Parallel Compact Scheme. In: Knight, D., Sakell, L. (eds) Recent Advances in DNS and LES. Fluid Mechanics and its Applications, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4513-8_7
Download citation
DOI: https://doi.org/10.1007/978-94-011-4513-8_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5924-4
Online ISBN: 978-94-011-4513-8
eBook Packages: Springer Book Archive