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A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus

Autor
Kouhi, M.; Oñate, E.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in fluids
Data de publicació
2014-04
Volum
74
Número
12
Pàgina inicial
872
Pàgina final
897
DOI
https://doi.org/10.1002/fld.3877 Obrir en finestra nova
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.3877/abstract Obrir en finestra nova
Resum
This paper aims at the development of a new stabilization formulation based on the finite calculus (FIC) scheme for solving the Euler equations using the Galerkin FEM on unstructured triangular grids. The FIC method is based on expressing the balance of fluxes in a space-time domain of finite size. It is used to prevent the creation of instabilities typically present in numerical solutions due to the high convective terms and sharp gradients. Two stabilization terms, respectively called streamli...
Paraules clau
computational fluid-dynamics, corrected transport, difference-schemes, euler equations, explicit scheme, finite calculus, galilean invariance, general algorithm, high-speed compressible flows, incompressible flows, lagrangian shock hydrodynamics, navier-stokes equations, stabilized finite element, unstructured grids
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
GMNE - Grup de Mètodes Numèrics en Enginyeria

Participants