一、前言 近年来,刘高联教授提出了利用变域变分法求解含激波的跨声速流场及相应的变分原理。作者根据文献[1]提出的变分原理,在文献[2]的基础上,提出了可移动结点间断有限元模式,以楔形流场为例进行流场的求解。通过计算不仅求出了激波的精确位置,而且激波厚度为零,其解与解析解吻合得较好。 I. Introduction In recent years, Professor Liu Gaolian proposed the use of variable-domain variational method to solve transonic flow field with shock and the corresponding variational principle. Based on the variational principle proposed in [1], the author proposed a discontinuous finite element model of movable nodes based on the literature [2], and took the wedge flow field as an example to solve the flow field. By calculation, not only the exact position of the shock wave but also the thickness of the shock wave are obtained, the solutions agree well with the analytical solutions.