Title

A Meshless Finite Difference Scheme for Compressible Potential Flows

Author Info

Alejandro Ramos, California Polytechnic State University - San Luis Obispo
Robert A. McDonald, California Polytechnic State University, San Luis ObispoFollow

Recommended Citation

Postprint version. Published in 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Proceedings: Orlando Florida, January 4, 2011, pages 1 of 16-16 of 16.

The definitive version is available at https://doi.org/10.2514/6.2011-654.

Abstract

A meshless solution algorithm for the full potential equation has been developed by applying the principles of the Taylor Least Squares (TLS) method. This method allows for a PDE to be discretized on a local cloud of scattered nodes without the need of connectivity data. The process for discretizing the full potential equation within a meshless framework is outlined along with a novel Hermite TLS technique for enforcement of Neumann boundary conditions. Several two-dimensional test cases were solved that compare well with analytical and benchmark solutions. The first test case solved for the subcritical compressible flow over a circular cylinder at a freestream Mach number of 0.375. The last two cases solved for the non-lifting and lifting subcritical flows over a NACA 0012 airfoil with freestream conditions (M_∞= 0.72; α = 0°) and (M_∞= 0.63; α = 2°) respectively.

Disciplines

Aerospace Engineering

Copyright

2011 authors. First published by American Institute of Aeronautics and Astronautics, Inc..