Regularization Fast Multipole Boundary
Element Method For Potential Flow Problems
In 3D Vortex Method
Author(s)
Jie Zhai, Baoshan Zhu & Shuliang Cao
Abstract
The boundary element method (BEM) is one way for solving the normal flow
boundary conditions (potential flow problem) and the pressure distribution in
numerical simulation of the three-dimensional vortex method. Because the
problem can be reduced from a three-dimensional integral to a two-dimensional
integral by BEM, this method is acclaimed in this study. BEM in engineering
calculations already has a good application, but with the increasing number of
grid problems, the dense matrix generated in the conventional boundary element
method (CBEM) is increasing sharply. The fast multipole method (FMM) is
introduced to accelerate the computational efficiency and speed of BEM. The
three-dimensional vortex method requires solving the velocity and the velocity
gradient of potential flow by BEM, and then it will encounter strongly singular
integrals. The semi-analytical integral regularization algorithm is applied for
solving strongly singular integrals in this paper. The regularization fast multipole
boundary element method (FMBEM) is applied to the potential problem of flow
over a single sphere, and analyze the results to prove the reliability and
efficiency of this method. The calculation parameters which are selected by
comparing the influences of them in the single sphere problem are applied to the
potential problem of flow over multi-spheres, and the results are analyzed.
Keywords: BEM, FMM, regularization algorithm, potential problem.
Keywords
BEM, FMM, regularization algorithm, potential problem
Related Book
Other papers in this volume
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