Numerical solution for various inverse problems

✍ Scribed by Régine Weber; Jacques Hureau

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 293 KB
• Volume: 115
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00187-9

✦ Synopsis

This study considers the classical two-dimensional model of jet ow using an ideal, incompressible, weightless uid. Solving a direct problem consists in determining the pressure (or velocity) distribution on an obstacle in a ow. The aim of this paper is to describe and illustrate a numerical method for constructing wetted walls to obtain arbitrary velocity distributions, i.e. solving the inverse problem. This method is applied to airfoil design and to the construction of an inÿnite wall impinged by a jet. The speciÿed distributions may entail constraints that require an analysis of the existence of the solution.