A fast Navier-Stokes solver for the computations of compressible flows is presented. This method is an extension of the classical Lambda formulation, and is based on the integration of the compatibility conditions along the bicharacteristic lines, hence reducing multi-dimensional flow problems to a sequence of simple quasi 1D problems. The 2D compressible viscous governing equations are obtained as follows: the convective contributions are treated as the four compatibility conditions along the bicharacteristic lines and the diffusive contributions are treated as corrective terms. The model has been applied to solve subsonic flows around the NACA 0012 airfoil. The results have been compared with previous data, to confirm the accuracy and the reliability of the proposed algorithm.

An Implicit Lambda Method for 2-D Viscous Compressible Flows

Bernardo Fortunato;
1995

Abstract

A fast Navier-Stokes solver for the computations of compressible flows is presented. This method is an extension of the classical Lambda formulation, and is based on the integration of the compatibility conditions along the bicharacteristic lines, hence reducing multi-dimensional flow problems to a sequence of simple quasi 1D problems. The 2D compressible viscous governing equations are obtained as follows: the convective contributions are treated as the four compatibility conditions along the bicharacteristic lines and the diffusive contributions are treated as corrective terms. The model has been applied to solve subsonic flows around the NACA 0012 airfoil. The results have been compared with previous data, to confirm the accuracy and the reliability of the proposed algorithm.
Fourteenth International Conference on Numerical Methods in Fluid Dynamics : proceedings of the Conference Held in Bangalore, India, 11–15 July 1994
3-540-59280-6
Springer
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/12032
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