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

Author
Kouhi, M.; Oñate, E.
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2015-07
Volume
56
Number
1
First page
113
Last page
129
DOI
https://doi.org/10.1007/s00466-015-1161-2 Open in new window
Repository
http://hdl.handle.net/2117/76192 Open in new window
URL
http://link.springer.com/article/10.1007/s00466-015-1161-2/fulltext.html Open in new window
Abstract
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...
Citation
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.
Keywords
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
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group

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