Transonic flow calculation via finite elements
Aplikace matematiky (1988)
- Volume: 33, Issue: 4, page 296-321
- ISSN: 0862-7940
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topKlouček, Petr, and Málek, Josef. "Transonic flow calculation via finite elements." Aplikace matematiky 33.4 (1988): 296-321. <http://eudml.org/doc/15545>.
@article{Klouček1988,
abstract = {Using new results based on a convenient entropy condition, two types of algorithms for computing transonic flows are constructed. A sequence of solutions of the linearised problem with a posteriori control is constructed and its convergence to the physical solution of transonic flow in some special situations is proved.
This paper contains also numerical results and their analysis for the case of flow past NACA 230012 airfoil. Some numerical improvements of the general algorithms, based on our practical experience with this problem, are also included.},
author = {Klouček, Petr, Málek, Josef},
journal = {Aplikace matematiky},
keywords = {finite elements; entropy condition; transonic flow; a posteriori control; NACA 230012 airfoil; finite elements; entropy condition; transonic flow; a posteriori control; NACA 230012 airfoil},
language = {eng},
number = {4},
pages = {296-321},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transonic flow calculation via finite elements},
url = {http://eudml.org/doc/15545},
volume = {33},
year = {1988},
}
TY - JOUR
AU - Klouček, Petr
AU - Málek, Josef
TI - Transonic flow calculation via finite elements
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 4
SP - 296
EP - 321
AB - Using new results based on a convenient entropy condition, two types of algorithms for computing transonic flows are constructed. A sequence of solutions of the linearised problem with a posteriori control is constructed and its convergence to the physical solution of transonic flow in some special situations is proved.
This paper contains also numerical results and their analysis for the case of flow past NACA 230012 airfoil. Some numerical improvements of the general algorithms, based on our practical experience with this problem, are also included.
LA - eng
KW - finite elements; entropy condition; transonic flow; a posteriori control; NACA 230012 airfoil; finite elements; entropy condition; transonic flow; a posteriori control; NACA 230012 airfoil
UR - http://eudml.org/doc/15545
ER -
References
top- M. Feistauer J. Nečas, On the solvability of transonic potential flow problems, Zeitschrift für Analysis und ihre Anwendungen, Bd. 4(4) 1985, 305-329. (1985) MR0807140
- J. Mandel J. Nečas, Convergence of finite elements for transonic potential flow, Preprint, Charles University, Prague, May 1986. (1986) MR0909059
- G. Poirier, Traitements numeriques en elements finis de la condition d'entropie des equations transsoniques, These, L'universite et Marie Curie, 1981. (1981)
- E. Polak, Computational methods in optimization, Academic Press, New York, 1971. (1971) MR0282511
- R. Glowinski, Numerical methods for nonlinear variational problems, New York, Berlin, Heidelberg, Tokyo, 1984. (1984) Zbl0536.65054MR0737005
- J. Nečas I. Hlaváček, Mathematical theory of elastic and elastico-plastic bodies: An introduction, Elsevier North-Holland, Inc., 1981. (1981) MR0600655
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