marxen_magin_shaqfeh_iaccarino13

Summary

A method for the direct numerical simulation of hypersonic boundary-layer instability with finite-rate chemistry. O. Marxen, T.E. magin, E.S.G. Shaqfeh and G. Iaccarino. Journal of Computational Physics, 255:572-589, 2013. (URL)

Abstract

A new numerical method is presented here that allows to consider chemically reacting gases during the direct numerical simulation of a hypersonic fluid flow. The method comprises the direct coupling of a solver for the fluid mechanical model and a library providing the physio-chemical model. The numerical method for the fluid mechanical model integrates the compressible Navier-Stokes equations using an explicit time advancement scheme and high-order finite differences. This Navier-Stokes code can be applied to the investigation of laminar-turbulent transition and boundary-layer instability. The numerical method for the physio-chemical model provides thermodynamic and transport properties for different gases as well as chemical production rates, while here we exclusively consider a five species air mixture. The new method is verified for a number of test cases at Mach 10, including the one-dimensional high-temperature flow downstream of a normal shock, a hypersonic chemical reacting boundary layer in local thermodynamic equilibrium and a hypersonic reacting boundary layer with finite-rate chemistry. We are able to confirm that the diffusion flux plays an important role for a high-temperature boundary layer in local thermodynamic equilibrium. Moreover, we demonstrate that the flow for a case previously considered as a benchmark for the investigation of non-equilibrium chemistry can be regarded as frozen. Finally, the new method is applied to investigate the effect of finite-rate chemistry on boundary layer instability by considering the downstream evolution of a small-amplitude wave and comparing results with those obtained for a frozen gas as well as a gas in local thermodynamic equilibrium.

Bibtex entry

@ARTICLE { marxen_magin_shaqfeh_iaccarino13,
    AUTHOR = { O. Marxen and T.E. magin and E.S.G. Shaqfeh and G. Iaccarino },
    TITLE = { A method for the direct numerical simulation of hypersonic boundary-layer instability with finite-rate chemistry },
    JOURNAL = { Journal of Computational Physics },
    VOLUME = { 255 },
    PAGES = { 572-589 },
    YEAR = { 2013 },
    ABSTRACT = { A new numerical method is presented here that allows to consider chemically reacting gases during the direct numerical simulation of a hypersonic fluid flow. The method comprises the direct coupling of a solver for the fluid mechanical model and a library providing the physio-chemical model. The numerical method for the fluid mechanical model integrates the compressible Navier-Stokes equations using an explicit time advancement scheme and high-order finite differences. This Navier-Stokes code can be applied to the investigation of laminar-turbulent transition and boundary-layer instability. The numerical method for the physio-chemical model provides thermodynamic and transport properties for different gases as well as chemical production rates, while here we exclusively consider a five species air mixture. The new method is verified for a number of test cases at Mach 10, including the one-dimensional high-temperature flow downstream of a normal shock, a hypersonic chemical reacting boundary layer in local thermodynamic equilibrium and a hypersonic reacting boundary layer with finite-rate chemistry. We are able to confirm that the diffusion flux plays an important role for a high-temperature boundary layer in local thermodynamic equilibrium. Moreover, we demonstrate that the flow for a case previously considered as a benchmark for the investigation of non-equilibrium chemistry can be regarded as frozen. Finally, the new method is applied to investigate the effect of finite-rate chemistry on boundary layer instability by considering the downstream evolution of a small-amplitude wave and comparing results with those obtained for a frozen gas as well as a gas in local thermodynamic equilibrium. },
    URL = { http://dx.doi.org/10.1016/j.jcp.2013.07.029 },
}