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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
Summary:
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.
References:
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[2] J. Mandel J. Nečas: Convergence of finite elements for transonic potential flow. Preprint, Charles University, Prague, May 1986. MR 0909059
[3] G. Poirier: Traitements numeriques en elements finis de la condition d'entropie des equations transsoniques. These, L'universite et Marie Curie, 1981.
[4] E. Polak: Computational methods in optimization. Academic Press, New York, 1971. MR 0282511
[5] R. Glowinski: Numerical methods for nonlinear variational problems. New York, Berlin, Heidelberg, Tokyo, 1984. MR 0737005 | Zbl 0536.65054
[6] J. Nečas I. Hlaváček: Mathematical theory of elastic and elastico-plastic bodies: An introduction. Elsevier North-Holland, Inc., 1981. MR 0600655
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