**Journal of Theoretical**

and Applied Mechanics

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

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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