Master's degree in Numerical Methods in Engineering (Pla 2009)
http://hdl.handle.net/2117/166442
2022-09-25T23:25:28ZAproximation of the Aeroacoustics sources with finite element techniques
http://hdl.handle.net/2099.1/12365
Aproximation of the Aeroacoustics sources with finite element techniques
Jazarevic, Vladimir
In this work a stabilized formulation of the nite element method for solving the incompressible Navier-Stokes equation and Lighthill's tensor for calculation of acoustic sources are presented. The important feature of this formulation resides in the design of the stabilization
terms, which serve several purposes. First, convective dominated ows in the Navier-Stokes
equation can be dealt with. Second, there is no need to use interpolation spaces subject to an inf-sup condition for the velocity-pressure pair and therefore linear interpolation spaces can be used. Finally, this formulation allows a more accurate computation of Lighthill' tensor and a better representation of acoustics sources.
2011-06-30T11:23:59ZJazarevic, VladimirIn this work a stabilized formulation of the nite element method for solving the incompressible Navier-Stokes equation and Lighthill's tensor for calculation of acoustic sources are presented. The important feature of this formulation resides in the design of the stabilization
terms, which serve several purposes. First, convective dominated ows in the Navier-Stokes
equation can be dealt with. Second, there is no need to use interpolation spaces subject to an inf-sup condition for the velocity-pressure pair and therefore linear interpolation spaces can be used. Finally, this formulation allows a more accurate computation of Lighthill' tensor and a better representation of acoustics sources.Coupling of numerical and statistical methods in acoustics
http://hdl.handle.net/2099.1/12364
Coupling of numerical and statistical methods in acoustics
Díaz Cereceda, Cristina
Problems in the field of vibroacoustics can be modelled in two fundamental ways. On the
one hand, they can be addressed in a deterministic way, using numerical methods like the Finite Element Method. On the other hand, statistical methods such as SEA (Statistical Energy Analysis) can be used.
Numerical methods are useful for cases with complex geometries but imply a high computational cost for the calculation at high frequencies, especially when working in large domains. They also provide detailed vibration and pressure fields, which are not required by acoustic regulations since they only consider averaged values.
Statistical methods are suitable for high frequencies. They deal directly with averaged
energies but require specific parameters of power transmission, like internal loss factors and coupling loss factors, whose values can not be calculated analytically for complex geometries.
In this work both techniques are coupled so that necessary parameters for the SEA are
obtained using a deterministic analysis. In the deterministic approach the Galerkin formulation is used to solve the dynamic problem in its weak form, with the eigenfunctions of the structural elements as the bases of functions used to express the vibration field.
Then, a study of the different ways of estimating the coupling loss factor between two subsystems once the deterministic results are obtained is presented, with a discussion of their advantages and disadvantages. The described technique is applied to estimate the coupling loss factors in different configurations consisting of two plates connected
with different devices. The obtained results are compared with existing approximated
expressions and the good performance of the method is verified.
Moreover, the estimated parameters are used to solve larger and more complex systems
with SEA. Their results and computational costs are compared with those of the numerical solutions of the same problems. Obtained results differ slightly depending on the technique used for the estimation of the coupling loss factor but provide good trends in general.
Therefore, this study shows the potential of combining the deterministic approach (and
numerical methods) with the statistical approach in order to solve realistic vibroacoustic problems in the whole frequency range, stressing the differences between the various ways of estimating the coupling loss factor.
2011-06-30T11:17:03ZDíaz Cereceda, CristinaProblems in the field of vibroacoustics can be modelled in two fundamental ways. On the
one hand, they can be addressed in a deterministic way, using numerical methods like the Finite Element Method. On the other hand, statistical methods such as SEA (Statistical Energy Analysis) can be used.
Numerical methods are useful for cases with complex geometries but imply a high computational cost for the calculation at high frequencies, especially when working in large domains. They also provide detailed vibration and pressure fields, which are not required by acoustic regulations since they only consider averaged values.
Statistical methods are suitable for high frequencies. They deal directly with averaged
energies but require specific parameters of power transmission, like internal loss factors and coupling loss factors, whose values can not be calculated analytically for complex geometries.
In this work both techniques are coupled so that necessary parameters for the SEA are
obtained using a deterministic analysis. In the deterministic approach the Galerkin formulation is used to solve the dynamic problem in its weak form, with the eigenfunctions of the structural elements as the bases of functions used to express the vibration field.
Then, a study of the different ways of estimating the coupling loss factor between two subsystems once the deterministic results are obtained is presented, with a discussion of their advantages and disadvantages. The described technique is applied to estimate the coupling loss factors in different configurations consisting of two plates connected
with different devices. The obtained results are compared with existing approximated
expressions and the good performance of the method is verified.
Moreover, the estimated parameters are used to solve larger and more complex systems
with SEA. Their results and computational costs are compared with those of the numerical solutions of the same problems. Obtained results differ slightly depending on the technique used for the estimation of the coupling loss factor but provide good trends in general.
Therefore, this study shows the potential of combining the deterministic approach (and
numerical methods) with the statistical approach in order to solve realistic vibroacoustic problems in the whole frequency range, stressing the differences between the various ways of estimating the coupling loss factor.