基于非结构自适应网格的二维Euler方程数值求解方法研究
摘要
A numerical method for the solution of the 2D Euler equations based on the unstructured adaptive grids was proposed. The finite-volume method was used to carry out the space discretization, and the flux was calculated with Jamson’s central scheme, which was suitable for the calculation of arbitrary polygons. In order to get the stationary solution, an explicit 4-step Runge-Kutta iterative method was adopted to do the time-domain integral. According to the gradients of the flow field parameters, the refining edges were determined. Under this refining criterion, the mesh distribution was reasonably improved. With the proposed method the 2D Euler equations were solved for the simulation of the NACA0012 airfoil. The numerical results show the correctness and validity of the present method.