关键词: 非结构网格，动网格， Runge-Kutta方法,, GMRES方法

Abstract: Runge-Kutta and GMRES methods are used for solving the 3-D time-dependent Euler equations in an Arbitrary Lagrangian-Eulerian(ALE) framework. The algorithm is based on a cell centered, finite-volume approach, second-order accurate in space. Hanel method is used to calculate the flux of the control face. Flows around a pitching NACA0012 airfoil and a moving ball are simulated. The numerical results are satisfactory. GMRES has the advantages of taking much less memory and less computation time.

Key words: unstructured meshes, moving meshes, Runge-Kutta method, GMRES