FastAero – A Precorrected FFT – Fast Multipole Tree Steady and Unsteady Potential Flow Solver
Name
HPCES004.pdf
Size
4.92 MB
Format
Adobe PDF
Checksum (MD5)
d92a0b6dbf03eb6cf9490ea5fa0700b7
Author(s)
Willis, David
Peraire, Jaime
White, Jacob K.
Date Issued
January 2005
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Abstract
In this paper a precorrected FFT-Fast Multipole Tree (pFFT-FMT) method for solving the potential flow around arbitrary three dimensional bodies is presented. The method takes advantage of the efficiency of the pFFT and FMT algorithms to facilitate more demanding computations such as automatic wake generation and hands-off steady and unsteady aerodynamic simulations. The velocity potential on the body surfaces and in the domain is determined using a pFFT Boundary Element Method (BEM) approach based on the Green’s Theorem Boundary Integral Equation. The vorticity trailing all lifting surfaces in the domain is represented using a Fast Multipole Tree, time advected, vortex participle method. Some simple steady state flow solutions are performed to demonstrate the basic capabilities of the solver. Although this paper focuses primarily on steady state solutions, it should be noted that this approach is designed to be a robust and efficient unsteady potential flow simulation tool, useful for rapid computational prototyping.
Subjects
Aerodynamics
Panel Method
Boundary Element Method
precorrected FFT
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