Result: Exact solution for an optimal impermeable parachute problem

Title:
Exact solution for an optimal impermeable parachute problem
Source:
Journal of computational and applied mathematics. 147(2):277-286
Publisher Information:
Amsterdam: Elsevier, 2002.
Publication Year:
2002
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Equations intégrales, Integral equations, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Programmation mathématique numérique, Numerical methods in mathematical programming, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Ecoulements laminaires, Laminar flows, Ecoulements potentiels, Potential flows, Calcul numérique, Numerical computation, Cálculo numérico, Déflecteur, Deflectors, Ecoulement potentiel, Potential flow, Equation intégrale, Integral equations, Equation singulière, Singular equation, Ecuación singular, Fluide incompressible, Incompressible fluid, Fluido incompresible, Méthode optimisation, Optimization method, Método optimización, Opérateur intégral, Integral operator, Operador integral, Problème direct, Direct problem, Problema directo, Problème inverse, Inverse problems, Profil aérodynamique, Airfoils, Solution analytique, Analytical solution, Solution optimale, Optimal solution, Solución óptima
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Transilvania, University of Braşov, 2200 Braşov, Romania
ISSN:
0377-0427
Rights:
Copyright 2003 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics

Physics: fluid mechanics
Accession Number:
edscal.13949142
Database:
PASCAL Archive

Further Information

In the paper there are solved direct and inverse boundary problems and analytical solutions are obtained for optimization problems in the case of some nonlinear integral operators. It is modeled the plane potential flow of an inviscid, incompressible and nonlimited fluid jet, witch encounters a symmetrical, curvilinear obstacle-the deflector of maximal drag. There are derived integral singular equations, for direct and inverse problems and the movement in the auxiliary canonical half-plane is obtained. Next, the optimization problem is solved in an analytical manner. The design of the optimal airfoil is performed and finally, numerical computations concerning the drag coefficient and other geometrical and aerodynamical parameters are carried out. This model corresponds to the Helmholtz impermeable parachute problem.