1986 年 34 巻 389 号 p. 316-324
Two-dimensional generalization of a one-dimensional Petrov-Galerkin finite element shock capturing scheme is proposed. It is emphasized that the "preferred direction upwinding" is important in multi-dimensional applications. Scheme is developed for the two-dimensional Euler equations which stand for the invicid compressible flow problem. One, based upon characteristics, employs the Mach lines and streamline as preferred directions.