Figure 1: An example of the
2-Dimensional FastAero code applied to a simple heaving wing
motion. In this example the fluid structure interaction is simplified using a leading
edge spring to allow compliance. Although this model is a realistic model of
natural flight, the example lends insight into the effect of leading edge
torsion rod or bone compliance.
an advanced, 3-Dimensional unsteady panel method solver developed at MIT. The code incorporates an
accelerated iterative solution approach through the use of the precorrected-FFT and Fast Multipole Algorithms (Matrix Vector Product (MVP) acceleration). Through the use of matrix-multiply
accelerations, intermediate time-step solutions can be performed very rapidly.
As such, the solution of highly resolved unsteady potential flows is possible.
Figure: A plot of the FastAero3D solution around a business jet configuration. In this
image the features of the FastAero3D solution are illustrated. The body of the business jet is represented using a
boundary element surface triangular discretization.
The localized vorticity in the wake is represented using
the vortex particle method (VPM).
Willis, D.J., Peraire, J. White, J.K., A combined pFFT-multipole tree code, unsteady panel method with vortex
particle wakes, 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA
2005-0854, Reno, NV, Jan. 2005.
 Willis, D.J., Peraire, J. White, J.K., 'A quadratic basis
function, quadratic geometry, high order panel method' presented at 44th AIAA Aerospace Sciences Meeting, AIAA-2006-1253,
Philips, J.R., White, J.K., A Precorrected-FFT
Method for Capacitance Extraction of Complicated 3-D Structures, Proc. of the
IEEE/ACM International Conference on Computer-Aided Design, pp. 268-271,
 Greengard, L., Rokhlin, V. A
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 Saad, Y. and Schultz, M. H. 1986. GMRES: a
generalized minimal residual algorithm for solving nonsymmetric linea systems.
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The current project has been funded by several different sources at different times. We are very thankful to the following funding sources:
Singapore-MIT Alliance (SMA), National Science Foundation (NSF), Natural Science and Engineering Councile of Canada (NSERC), and the Air Force Office of Scientific Research.