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An implicit stabilized finite element method for the compressible Navier-Stokes equations using finite calculus

Autor
Kouhi, M.; Oñate, E.
Tipus d'activitat
Article en revista
Revista
Computational mechanics
Data de publicació
2015-07
Volum
56
Número
1
Pàgina inicial
113
Pàgina final
129
DOI
https://doi.org/10.1007/s00466-015-1161-2 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/76192 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007/s00466-015-1161-2/fulltext.html Obrir en finestra nova
Resum
A new implicit stabilized formulation for the numerical solution of the compressible Navier-Stokes equations is presented. The method is based on the finite calculus (FIC) scheme using the Galerkin finite element method (FEM) on triangular grids. Via the FIC formulation, two stabilization terms, called streamline term and transverse term, are added to the original conservation equations in the space-time domain. The non-linear system of equations resulting from the spatial discretization is solv...
Citació
Kouhi, M., Oñate, E. An implicit stabilized finite element method for the compressible Navier-Stokes equations using finite calculus. "Computational Mechanics", Juliol 2015, núm. 1, The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-015-1161-2, p. 113-129.
Paraules clau
COMPUTATIONAL FLUID-DYNAMICS, EULER EQUATIONS, Finite calculus, GALILEAN INVARIANCE, GENERAL ALGORITHM, High-speed compressible flows, INCOMPRESSIBLE FLOWS, INVISCID SUPERSONIC FLOWS, Implicit scheme, NUMERICAL-SOLUTION, Navier-Stokes equations, SHOCK HYDRODYNAMICS, SUPG FORMULATION, Stabilized finite element, TRANSPORT
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
GMNE - Grup de Mètodes Numèrics en Enginyeria

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