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The development of flux-split algorithms for flows with non-equilibrium thermodynamics and chemical reactionsA finite-volume method for the numerical computation of flows with nonequilibrium thermodynamics and chemistry is presented. A thermodynamic model is described which simplifies the coupling between the chemistry and thermodynamics and also results in the retention of the homogeneity property of the Euler equations (including all the species continuity and vibrational energy conservation equations). Flux-splitting procedures are developed for the fully coupled equations involving fluid dynamics, chemical production and thermodynamic relaxation processes. New forms of flux-vector split and flux-difference split algorithms are embodied in a fully coupled, implicit, large-block structure, including all the species conservation and energy production equations. Several numerical examples are presented, including high-temperature shock tube and nozzle flows. The methodology is compared to other existing techniques, including spectral and central-differenced procedures, and favorable comparisons are shown regarding accuracy, shock-capturing and convergence rates.
Document ID
19880061721
Document Type
Conference Paper
Authors
Grossman, B. (Virginia Polytechnic Institute and State University Blacksburg, United States)
Cinella, P. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Report/Patent Number
AIAA PAPER 88-3595
Meeting Information
AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress(Cincinnati, OH)
Funding Number(s)
CONTRACT_GRANT: NAG1-776
Distribution Limits
Public
Copyright
Other