Non Steady Euler Equations Solution And Flutter

In this dissertation, the Euler equations based on the Arbitrary Lagrangian-Eulerian(ALE) formulation are applied to solve 2-D and 3-D unsteady flow field with further investigating the unstructured dynamic grid technique. Then the aeroelasticity is investigated by using the Euler equations and structure equations.On the basis of classic linear spring analogy, several modified methods for the linear spring stiffness coefficient are introduced. In these methods the segments, faces and bodies of the cell are considered. In the case of not much penalty in computing, the adaptation of the unstructured dynamic mesh is greater enhanced.In the paper, 2-D and 3-D unsteady flow fields are computed. The results of solving the unsteady flow fields that are in agreement with the experiments show that the unsteady flow field solver is correct and the unstructured dynamic mesh technique of the dissertation is well robust. So the unsteady flow field solver can be applied to various kinds of problems with moving and deforming bodies.For aeroelasticity, the flutter characters of 2-D airfoil are further analyzed by coupling the Euler equations and structure equations. The results of this paper are basically identical with the experiments. So the calculator is good for analyzing flutter characters.