Recursive Numerical Algorithm for Conformal Mapping in Two-Dimensional Hydrodynamics

摘要

An original recursive numerical method (RT algorithm) for conformal mapping is presented. Based on the Lavrentiev variational principle, it is a powerful means for the solution of various two-dimensional boundary Value problems. The RT algorithm can be used to solve internal and external hydrodynamics problems occurring In spacecraft research namely the calculation of fluid motions with local vorticity regions, For external problems, Conformal mapping of the fluid flow area onto the outside of the unit circle is constructed; for internal problems The4 area is mapped onto one of standard domains (the unit circle of circular annulus). Fluid flows in a cylindrical Tank with inner radial damping ribs and nearby an air brake with sharp edges with or without free eddies are Discussed as examples.