TY - JOUR
T1 - Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations
AU - Hughes, T. J.R.
AU - Tezduyar, T. E.
N1 - Funding Information:
We would like to thank the Computational Fluid Dynamics Branch of the NASA Ames Research Center for supporting our research,a nd especially H. Lomax for guidance and encouragement.T hanks are also due the CLaSSiC project for partial support of T.E. Tezduyar while he was a post-doctorals tudenta t Stanford University.
Funding Information:
*Final report of work performed 104. The second author was partially under NASA-Ames University Consortium, Interchange No. NCA-OR745-supported by Office of Naval Research Contract N00014-82-K-0335.
PY - 1984/9
Y1 - 1984/9
N2 - A Petrov-Galerkin finite element formulation is presented for first-order hyperbolic systems of conservation laws with particular emphasis on the compressible Euler equations. Applications of the methodology are made to one- and two-dimensional steady and unsteady flows with shocks. Results obtained suggest the potential of the type of methods developed.
AB - A Petrov-Galerkin finite element formulation is presented for first-order hyperbolic systems of conservation laws with particular emphasis on the compressible Euler equations. Applications of the methodology are made to one- and two-dimensional steady and unsteady flows with shocks. Results obtained suggest the potential of the type of methods developed.
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U2 - 10.1016/0045-7825(84)90157-9
DO - 10.1016/0045-7825(84)90157-9
M3 - Article
AN - SCOPUS:0021497923
SN - 0045-7825
VL - 45
SP - 217
EP - 284
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-3
ER -