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An upwind, kinetic flux-vector splitting method for flows in chemical and thermal non-equilibriumWe have developed new upwind kinetic difference schemes for flows with non-equilibrium thermodynamics and chemistry. These schemes are derived from the Boltzmann equation with the resulting Euler schemes developed as moments of the discretized Boltzmann scheme with a locally Maxwellian velocity distribution. Splitting the velocity distribution at the Boltzmann level is seen to result in a flux-split Euler scheme and is called Kinetic Flux Vector Splitting (KFVS). Extensions to flows with finite-rate chemistry and vibrational relaxation is accomplished utilizing nonequilibrium kinetic theory. Computational examples are presented comparing KFVS with the schemes of Van Leer and Roe for a quasi-one-dimensional flow through a supersonic diffuser, inviscid flow through two-dimensional inlet, and viscous flow over a cone at zero angle-of-attack. Calculations are also shown for the transonic flow over a bump in a channel and the transonic flow over an NACA 0012 airfoil. The results show that even though the KFVS scheme is a Riemann solver at the kinetic level, its behavior at the Euler level is more similar to the existing flux-vector splitting algorithms than to the flux-difference splitting scheme of Roe.
Document ID
Document Type
Conference Paper
Eppard, W. M. (NASA Langley Research Center Hampton, VA, United States)
Grossman, B. (Virginia Polytechnic Inst. and State Univ. Blacksburg, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Report/Patent Number
AIAA PAPER 93-0894
Meeting Information
AIAA, Aerospace Sciences Meeting and Exhibit(Reno, NV)
Funding Number(s)
Distribution Limits