Abstract
In this paper, we present a method for calculating the flows of a non-viscous fluid using the fast multipole method. The method is based on the fact that the computational complexity can be reduced to the level of O(N log N) . A two-dimensional problem of the flow of a non-viscous incompressible fluid is formulated in terms of vorticity and velocity. Further, the authors describe in detail the scheme, principles, as well as the positive and negative aspects of using the fast multipole method in the hydrodynamic problems. As a test of the algorithm, the authors consider an example of the Chaplygin-Lamb dipole. The results of numerical simulation of the dipole motion are presented, being implemented on C++ and Python platforms. Some conclusions are drawn about the motion of the vortex structure on the basis of the calculated results.
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