Abstract
The present paper provides a new perturbative lambda formulation for the numerical solution of compressible flows. The time-dependent Euler equations are recasted in terms of compatibility equations for perturbative bicharacteristic variables (which are the difference between the standard Riemann variables and those corresponding to an appropriate steady incompressible flow) and solved numerically by means of an ADI method. Results for subcritical and supercritical flows past a NACA 0012 airfoil are presented, which demonstrate the remarkable accuracy of the proposed methodology.
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