A finite element algorithm for computational fluid dynamics

Autor:	M. O. Soliman, A. J. Baker
Rok vydání:	1983
Předmět:	Generalized coordinates Discontinuous Galerkin method Pressure-correction method Mathematical analysis Aerospace Engineering Smoothed finite element method Mixed finite element method Galerkin method Finite element method Mathematics Extended finite element method
Zdroj:	AIAA Journal. 21:816-827
ISSN:	1533-385X 0001-1452
DOI:	10.2514/3.8158
Popis:	An implicit finite element numerical algorithm is derived for the compressible Navier-Stokes equations expressed in generalized coordinates. The theoretical basis utilizes a Galerkin weighted residuals formulation and extremization of approximation error within the context of a multipole expansion. A simplified yon Neumann analysis indicates the algorithm fourth-order phase accurate with third-order dissipation for the elementary linear basis construction. Algorithm performance is nominally improved using a quadratic basis. Numerical experiments for shocked duct flows are employed to refine the several algorithm parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a8249a9db571f19a0fa2dee485a452b6 https://doi.org/10.2514/3.8158 Zobrazit plný text záznamu