NURBS-Enhanced Finite Element Method for Euler equations

Author (s): Sevilla, R., Fernandez-Mendez, S., Huerta, A.
Journal: International Journal for Numerical Methods in Fluids

Volume: 57, Issue 9
Pages: 1051 – 1069
Date: 2008

Abstract:
In this work the NURBS-Enhanced Finite Element Method (NEFEM) is combined with a Discontinuous Galerkin (DG) formulation for the numerical solution of the Euler equations of gas dynamics. With the NEFEM approach 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 provides accurate results even with a linear interpolation of the solution. A detailed comparison of the NEFEM in front of isoparametric finite elements (FE) is presented, demonstrating the superiority of the NEFEM approach for both linear and higher order computations.

Journal paper (from the publisher)  
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Bibtex:

@article {FLD:FLD1711,
author = {Sevilla, R. and Fernández-Méndez, S. and Huerta, A.},
title = {NURBS-enhanced finite element method for Euler equations},
journal = {International Journal for Numerical Methods in Fluids},
volume = {57},
number = {9},
publisher = {John Wiley & Sons, Ltd.},
issn = {1097-0363},
url = {http://dx.doi.org/10.1002/fld.1711},
doi = {10.1002/fld.1711},
pages = {1051--1069},
keywords = {NURBS, discontinuous Galerkin, CAD, exact geometry representation, high-order isoparametric elements, Euler equations},
year = {2008},
}