This paper first discusses the constitutive relations and surface catalytic model for direct numerical simulation of wall-bounded turbulence including finite-rate chemistry and gas-surface interaction and then provides a systematic procedure to test the validity of the simulations by dividing the whole problem into different components and testing each component separately. Namely, comparisons against similarity solutions and other established hypersonic boundary-layer solutions are used to test the validity of laminar mean flow with and without gas-phase chemical reactions; comparisons against the analytic solution for the one-dimensional diffusion equation are used to test the validity of the surface catalysis boundary condition; and comparisons against empirical predictions, detailed experimental data and linear stability theory are used to test the validity of turbulent boundary-layer solutions.
L. Duan and M. P. Martín, "Procedure To Validate Direct Numerical Simulations Of Wall-bounded Turbulence Including Finite-rate Reactions," AIAA Journal, vol. 47, no. 1, pp. 244 - 251, American Institute of Aeronautics and Astronautics, Jan 2009.
The definitive version is available at https://doi.org/10.2514/1.38318
Mechanical and Aerospace Engineering
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01 Jan 2009