Edge-based finite element scheme for the Euler equations. (English) Zbl 0810.76037

Luo, Hong; Baum, Joseph D.; Löhner, Rainald

AIAA J. 32, No. 6, 1183-1190 (1994).

This paper describes the development, validation, and application of a new finite element scheme for the solution of the compressible Euler equations on unstructured grids. The implementation of the numerical scheme is based on an edge-based data structure, as opposed to a more traditional element-based data structure. The use of this edge-based data structure not only improves the efficiency of the algorithm but also enables a straightforward implementation of upwind schemes in the context of finite element methods. A flow solution about a complete F-18 fighter is shown to demonstrate the accuracy and robustness of the proposed algorithm.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

Keywords:

unstructured grids; upwind schemes; F-18 fighter