Luo, Hong; Baum, Joseph D.; Löhner, Rainald Edge-based finite element scheme for the Euler equations. (English) Zbl 0810.76037 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. Cited in 28 Documents 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 PDF BibTeX XML Cite \textit{H. Luo} et al., AIAA J. 32, No. 6, 1183--1190 (1994; Zbl 0810.76037) Full Text: DOI