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TVD Formulations of the 2D Navier-Stokes Equations for Airfoil Analysis
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Abstract
The application of total variation diminishing (TVD) implicit and explicit schemes to transonic flow around airfoils is presented. Several upwind and symmetric TVD flux limiters from the Non-MUSCL family are examined and compared with Jameson's non-linear artificial dissipation model. Inviscid results indicate that TVD schemes reduce shock smearing while practically eliminating numerical oscillations. Analytical results are presented for a NACA 0012 airfoil for various transonic flow conditions using TVD formulations of the 2D Navier-Stokes equations. Comparisons of computed results with experimental data show good agreement.
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Reddy, S., Klausmeyer, S., Liu, X., and Papadakis, M., "TVD Formulations of the 2D Navier-Stokes Equations for Airfoil Analysis," SAE Technical Paper 910992, 1991, https://doi.org/10.4271/910992.Also In
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