1991, Zeszyt 93
Comparison of the Method of Belotserkovski and the Method of Jacobi Quadratures Applied to the Discrete Vortex Method in Nonlinear Problems of Unsteady Fluid Mechanics
ZYGMUNT WIERCIŃSKI
Abstract
The paper presents a comparison of accuracy of Belotserkovski and Jacobi quadratures method of numerical solution of Cauchy type singular integral equation of the first kind which is the base for a solution of nonlinear problems of unsteady flow about thin profiles by means of discrete vortex approach. The comparison of accuracy of the methods was made for the case of steady flow about a flat plate and the flow about a plate with stationary vortex in the wake. The accuracy of the solution of singular integral equation of Cauchy type with the aid of Gauss- or Radau-Jacobi quadratures is much better than in case of the Belotserkovski's method.
Keywords:
accuracy of Belotserkovski, Jacobi quadratures method, integral equation, stationary vortexDownload: