Journal of Theoretical
and Applied Mechanics

57, 1, pp. 3-15, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.3

Numerical modeling of uncertainty in acoustic propagation via generalized Polynomial Chaos

Khalil Dammak, Sana Koubaa, Abdelkhalak El Hami, Lassaad Walha, Mohamed Haddar
This work aims at increasing the performance prediction for acoustic propagation systems
that will operate in the presence of the inevitable parameters uncertainty. In the present
contribution, the finite element method is applied to solve an acoustic problem described by
the Helmholz equation when the geometric and material properties present uncertainty. The
influence of the uncertainty of physical parameters on the pressure field is discussed. The
results using the polynomial chaos expansion method are compared with Monte Carlo simulations.
It is show that uncertainty levels in the input data could result in large variability
in the calculated pressure field in the domain.
Keywords: finite element simulation, uncertainty quantification, acoustic propagation, generalized Polynomial Chaos


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