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NURBS‐enhanced finite element method for Euler equations
Author(s) -
Sevilla R.,
FernándezMéndez S.,
Huerta A.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1711
Subject(s) - finite element method , mathematics , euler equations , discontinuous galerkin method , computation , euler's formula , galerkin method , boundary value problem , representation (politics) , mathematical analysis , domain (mathematical analysis) , backward euler method , boundary (topology) , geometry , algorithm , structural engineering , engineering , politics , political science , law
In this work, the NURBS‐enhanced finite element method (NEFEM) is combined with a discontinuous Galerkin (DG) formulation for the numerical solution of Euler equations of gas dynamics. With NEFEM, numerical fluxes along curved boundaries are computed much more accurately due to the exact geometric representation of the computational domain. The proper implementation of the wall boundary condition and the exact geometry provide accurate results even with a linear approximation of the solution. A detailed comparison of NEFEM in front of isoparametric finite elements is presented, demonstrating the superiority of NEFEM approach for both linear and higher‐order computations. Copyright © 2008 John Wiley & Sons, Ltd.