Guia docente 2020_21
Escola de Enxeñaría de Telecomunicación
Máster Universitario en Matemática Industrial
 Subjects
  Professional Software in Acoustics
   Contents
Topic Sub-topic
Subject 1: : numerical Methods in acoustics applied to one-dimensional problems 1.1. Introduction *Numpy and *Scipy libraries in Python
1.2. Approximation of Helmholtz equation: finite differences, finite elements and spectral methods
1.3. Behavior of the error in problems of propagation of waves: phase shift, error of dispersion and numerical pollution
1.4. Propagation of plane waves in multilayer media: transfer matrix method
Subject 2: Method of finite elements (*FEM) in acoustics 2.1. Introduction to the FEniCS library in Python
2.2. Vibrations in structures: coupling between a comprenssible fluid and a elastic solid.
2.3. Dissipation of noise: coupled problem - comprenssible fluid and porous layer
2.4. Transmission of vibrations: compressible fluids in presence of wall impedance, porous veils and thin plates
2.5. Approximation by means of finite elements of unbounded problems: absorbent conditions and perfectly matched layers (PML)
3- Application of the Acoustic Boundary Element Method. 3.1 Basic Theory. Helmholtz Integral Equation.
3.2 BEM in Problems 2D and 3D.
3.3 Formulation for Symmetric Axis Problems.
3.4 The Numerical Implementation of the BEM.
3.5 Description of the Package OPENBEM of MATLAB.
3.6 Problems 2D: Diffraction on Noise Barriers.
3.7 Symmetric Axis Problems: Diffraction on a Sphere and Radiation of a Pulsating Sphere.
3.8 Problems of 3D: Radiation of a Piston on a Sphere. Radiation of Cabinet Loudspeakers.

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