2次元流れにおける渦パネル法の誤差特性

抄録

Numerical investigation is performed on the error analysis of a vortex panel method in the two dimensional flow. The method uses step or linear vortex distributions on straight line elements. The airfoil is divided into a set of elements by three ways: semicircular-method, equispaced-method, and quartercircular-method. The following results are obtained: 1) The location of the optimum control point is the center of the elements for the step vortex distributions and the edge for the linear vortex distributions. 2) For dividing way of the airfoil, the semicircular-method is the best which is followed by the quatercircular-method and then by the equispaced-method. 3) When the airfoil is divided by the best way, the accuracy of the solution is first order in the elements size for the step vortex distributions and is second order for the linear vortex distributions. 4) For moderate number of elements (N<50), the solution of the method with the step vortex distributions is more accurate than with the linear vortex distributions.