. "Pelant, Jaroslav" . "Tato pr\u00E1ce pojedn\u00E1v\u00E1 o numerick\u00E9 metod\u011B n\u00E1vrhu tvaru leteck\u00E9ho profilu. Tato metoda je ur\u010Dena pro n\u00E1vrh profilu ze zadan\u00E9ho rozlo\u017Een\u00ED tlaku pod\u00E9l st\u0159edn\u00ED \u010D\u00E1ry profilu. Metoda je zalo\u017Eena na hled\u00E1n\u00ED pevn\u00E9ho bodu kontraktivn\u00EDho oper\u00E1toru. Tento oper\u00E1tor je slo\u017Een z vlastn\u00ED inverze a rovnic popisuj\u00EDc\u00EDch proud\u011Bn\u00ED. P\u0159edpokl\u00E1d\u00E1 se podzvukov\u00E9 proud\u011Bn\u00ED popsan\u00E9 soustavou Eulerov\u00FDch rovnic, kter\u00E1 je \u0159e\u0161ena implicitn\u00ED metodou kone\u010Dn\u00FDch objem\u016F. Pro linearizaci soustavy je pou\u017Eita Newtonova metoda a v\u00FDsledn\u00E1 soustava line\u00E1rn\u00EDch rovnic je \u0159e\u0161ena pomoc\u00ED metody GMRES, je uvedena i verze bez nutnosti sestrojen\u00ED Jacobiho matice. P\u0159ibli\u017En\u00FD inverzn\u00ED oper\u00E1tor se skl\u00E1d\u00E1 z konstrukce st\u0159edn\u00ED \u010D\u00E1ry a tlou\u0161\u0165kov\u00E9 funkce, oboje z\u00E1visej\u00EDc\u00ED na zadan\u00E9m rozlo\u017Een\u00ED rychlosti. Zad\u00E1v\u00E1 se tak\u00E9 rychlost v nekone\u010Dnu, \u00FAhel n\u00E1b\u011Bhu je ur\u010Den v pr\u016Fb\u011Bhu v\u00FDpo\u010Dtu na z\u00E1klad\u011B polohy stagna\u010Dn\u00EDho bodu."@cs . "A contractive operator solution of an airfoil design inverse problem" . . "2"^^ . "This paper deals with a numerical method for an airfoil design. This method is intended for design of an airfoil from a given velocity distribution along a mean camber line. The method is based on searching for a fixed point of a contractive operator. This operator combines an inexact inverse operator and equations describing the flow. A subsonic flow is assumed, the flow is described by a system of the Euler equations which is solved by an implicit finite volume method. The Newton method is applied to the solution of the nonlinear system. The resulting system of linear algebraic equations is solved by GMRES method, the Jacobian-free version is described. The inexact inverse operator consists of a middle curve function and a thickness function, both depending on the given velocity distribution. In addition to the velocity distribution the velocity in infinity is given. The angle of attack is determined so that the stagnation point is in a specific position." . . . "A contractive operator solution of an airfoil design inverse problem" . "\u0160im\u00E1k, Jan" . "RIV/00010669:_____/07:#0000559!RIV08-MSM-00010669" . . "RIV/00010669:_____/07:#0000559" . "PAMM Volume 7, Issue 1 (Special Issue: ICIAM07)" . "\u0158e\u0161en\u00ED inverzn\u00ED \u00FAlohy n\u00E1vrhu leteck\u00E9ho profilu pomoc\u00ED kontraktivn\u00EDho oper\u00E1toru"@cs . "This paper deals with a numerical method for an airfoil design. This method is intended for design of an airfoil from a given velocity distribution along a mean camber line. The method is based on searching for a fixed point of a contractive operator. This operator combines an inexact inverse operator and equations describing the flow. A subsonic flow is assumed, the flow is described by a system of the Euler equations which is solved by an implicit finite volume method. The Newton method is applied to the solution of the nonlinear system. The resulting system of linear algebraic equations is solved by GMRES method, the Jacobian-free version is described. The inexact inverse operator consists of a middle curve function and a thickness function, both depending on the given velocity distribution. In addition to the velocity distribution the velocity in infinity is given. The angle of attack is determined so that the stagnation point is in a specific position."@en . "2"^^ . "2"^^ . "A contractive operator solution of an airfoil design inverse problem"@en . "1617-7061" . . . "Z(MSM0001066902)" . "[17D727673B8D]" . "WILEY-VCH Verlag GmbH & Co. KGaA" . "2100023-2100024" . "implicit method, finite volume method, inverse problem"@en . . . . "Z\u00FCrich, \u0160v\u00FDcarsko" . "A contractive operator solution of an airfoil design inverse problem"@en . "407847" . . . . . . . "Weinheim" . . "2007-07-16+02:00"^^ . "\u0158e\u0161en\u00ED inverzn\u00ED \u00FAlohy n\u00E1vrhu leteck\u00E9ho profilu pomoc\u00ED kontraktivn\u00EDho oper\u00E1toru"@cs .