Open AccessSpectral Stochastic Infinite Element Method in Vibroacoustics
Author(s) -
Felix Kronowetter,
Lennart Moheit,
Martin Eser,
K. Sepahvand,
Steffen Marburg
Publication year - 2020
Publication title -
journal of theoretical and computational acoustics
Language(s) - English
Resource type - Journals
eISSN - 2591-7811
pISSN - 2591-7285
DOI - 10.1142/s2591728520500097
Subject(s) - spectral element method , collocation (remote sensing) , random field , element (criminal law) , mathematics , helmholtz free energy , multipole expansion , mathematical analysis , polynomial chaos , finite element method , computer science , mixed finite element method , physics , monte carlo method , statistics , quantum mechanics , machine learning , political science , law , thermodynamics
A novel method to solve exterior Helmholtz problems in the case of multipole excitation and random input data is developed. The infinite element method is applied to compute the sound pressure field in the exterior fluid domain. The consideration of random input data leads to a stochastic infinite element formulation. The generalized polynomial chaos expansion of the random data results in the spectral stochastic infinite element method. As a solution technique, the non-intrusive collocation method is chosen. The performance of the spectral stochastic infinite element method is demonstrated for a time-harmonic problem and an eigenfrequency study.