Newton's Method of Wind Turbine Flow Field Numerical Simulation of Local Convergence Analysis

Abstract

In this paper, we design a modeling analysis method around the wind turbine flow field. First ,a mathematical model of the cylinder coordinate system is proposed to describe the model of wind turbine flow field .The finite difference method and Newton iteration method are used to solve numerically, and the local convergence conditions are given to local convergence analysis of Newton iterative format. This condition not only gives the time step, space interval relations and parameters, but also provides a theoretical basis for the numerical solution of flow convergence of Newton's method for wind turbine. Simulation results show that the actual value of time step calculated in the direct decoupling method is larger than the theoretical value.