A new mapped infinite partition of unity method for convected acoustical radiation in infinite domains
Environmental considerations are important in the design of many
engineering systems and components. In particular, the environmental
impact of noise is important over a very broad range of engineering
applications and is increasingly perceived and regulated as an issue
of occupational safety or health, or more simply as a public
nuisance. The acoustic quality is then considered as a criterion in the product design process. Numerical prediction techniques allow to simulate vibro-acoustic responses. The use of such techniques reduces the development time and cost.
This dissertation focuses on acoustic convected radiation in outer domains such as it is the case for turbofan radiation. In the current thesis the mapped infinite partition of unity method is implemented within a coupled finite and infinite element model. This method allows to enrich the approximation with polynomial functions.
We present axisymmetric and three-dimensional formulations, verify and analyse the performance of the method. The verification compares computed results with the proposed method and analytical solutions for academic applications (i.e. duct propagation, multipole radiation, noise radiated by a vibrating rigid piston, etc.) . Performance analyses are performed with convergence curves plotting, for a given frequency, the accuracy of the computed solution with respect to the number of degrees of freedom or with performance curves, plotting the CPU time required to solve the application within a given accuracy, with respect to the excitation frequency. These performance analyses illustrate the interest of the mapped infinite partition of unity method.
We compute the radiation of an axisymmetric turbofan (convected radiation and acoustic treatments). The aim is to verify the method on an industrial application. We illustrate the radiation and compare the mapped infinite partition of unity results with finite element computations.
The dissertation presents the mapped partition of unity method as a computationally efficient method and illustrates its performances for academic as well as industrial applications. We suggest to use the method with high order polynomials and take the advantage of the method which allows to locally enrich the approximation. This last point improves the accuracy of the solution and prevent from creating a finer mesh.
Advisor:Villon Pierre; Bouillard Philippe; Desmet Wim; Astley Jeremy; Coyette Jean-Pierre; Warzée Guy; Migeot Jean-Louis
School:Université libre de Bruxelles
Source Type:Master's Thesis
Keywords:Infinite elements turbofan noise partition of unity radiation convected propagation computational method acoustic convectée
Date of Publication:01/23/2009