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A Meshless Finite Difference Scheme for Compressible Potential Flows
49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Proceedings: Orlando Florida (2011)
  • Alejandro Ramos, California Polytechnic State University - San Luis Obispo
  • Robert A. McDonald, California Polytechnic State University, San Luis Obispo
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
Publication Date
January 4, 2011
Publisher Statement

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

Citation Information
Alejandro Ramos and Robert A. McDonald. "A Meshless Finite Difference Scheme for Compressible Potential Flows" 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Proceedings: Orlando Florida (2011)
Available at: http://works.bepress.com/ramcdona/2/