Geodesic
Transonic flow calculation via finite elements
Applications of Mathematics, Tome 33 (1988) no. 4, pp. 296-321

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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.
DOI : 10.21136/AM.1988.104311
Classification : 65N30, 76-08, 76H05, 76M99
Keywords: finite elements; entropy condition; transonic flow; a posteriori control; NACA 230012 airfoil 
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Klouček, Petr; Málek, Josef. Transonic flow calculation via finite elements. Applications of Mathematics, Tome 33 (1988) no. 4, pp. 296-321. doi: 10.21136/AM.1988.104311

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