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Titolo:
Aerodynamic design optimization using Euler equations and variational methods
Autore:
Ibrahim, AH; Hou, GJW; Tiwari, SN; Smith, RE;
Indirizzi:
Old Dominion Univ, Dept Mech Engn, Norfolk, VA 23529 USA Old Dominion Univ Norfolk VA USA 23529 t Mech Engn, Norfolk, VA 23529 USA Norfolk State Univ, Dept Phys & Elect Engn, Norfolk, VA USA Norfolk State Univ Norfolk VA USA ept Phys & Elect Engn, Norfolk, VA USA NASA, Langley Res Ctr, Hampton, VA 23665 USA NASA Hampton VA USA 23665NASA, Langley Res Ctr, Hampton, VA 23665 USA
Titolo Testata:
COMPUTERS & FLUIDS
fascicolo: 2, volume: 31, anno: 2002,
pagine: 227 - 243
SICI:
0045-7930(200202)31:2<227:ADOUEE>2.0.ZU;2-6
Fonte:
ISI
Lingua:
ENG
Soggetto:
SENSITIVITY ANALYSIS; FLOW;
Keywords:
aerodynamics; design optimization; variational methods;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Tiwari, SN Old Dominion Univ, Dept Mech Engn, Norfolk, VA 23529 USA Old Dominion Univ Norfolk VA USA 23529 , Norfolk, VA 23529 USA
Citazione:
A.H. Ibrahim et al., "Aerodynamic design optimization using Euler equations and variational methods", COMPUT FLU, 31(2), 2002, pp. 227-243

Abstract

An optimization methodology which uses the conservative field variables, is developed to solve a design optimization problem in fluid dynamical distributed parameter systems. This approach which is completely based on the variational method, is employed to derive the costate partial differential equations (pdes) and their transversality (boundary) conditions from the continuous pdes of the fluid flow. The costate equations coupled with the flow field equations are solved iteratively to get the functional derivative coefficients. Then, these derivative coefficients combined with the flow fieldvariables are used to find the boundary shape which extremizes the performance index (functional). To demonstrate the method through examples, the shape of the nozzle is optimized for the maximum thrust. For this maximization problem, inlet and outlet flow conditions that depend on the upstream and downstream Mach numbersrespectively are considered. In order to build confidence in the optimization procedure, high convergences of the state and costate equations were sought and the numerical and analytical solutions (in the form of pressure distributions) of the state equations are compared. In the purely supersonic flow case, the gain in thrust is remarkably high. Even in the supersonic-inlet-subsonic-outlet and the purely subsonic cases, the improvement of the thrust is found to be substantial. As demonstratedthrough the cases investigated, a new achievement is that the present variational shape optimization approach is capable of resolving flows with shocks. (C) 2001 Elsevier Science Ltd. All rights reserved.

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Documento generato il 05/04/20 alle ore 09:15:31