Nonconforming Finite Elements Based on Nitsche-Type Mortaring for Inhomogeneous Wave Equation

Autor:	Manfred Kaltenbacher, Sebastian Floss
Rok vydání:	2018
Předmět:	010101 applied mathematics Physics Acoustics and Ultrasonics Applied Mathematics 0103 physical sciences Mathematical analysis 0101 mathematics Material properties Wave equation 010301 acoustics 01 natural sciences Finite element method Computer Science Applications
Zdroj:	Journal of Theoretical and Computational Acoustics. 26:1850028
ISSN:	2591-7811 2591-7285
DOI:	10.1142/s2591728518500287
Popis:	We propose the nonconforming Finite Element (FE) method based on Nitsche-type mortaring for efficiently solving the inhomogeneous wave equation, where due to the change of material properties the wavelength in the subdomains strongly differs. Therewith, we gain the flexibility to choose for each subdomain an optimal grid. The proposed method fulfills the physical conditions along the nonconforming interfaces, namely the continuity of the acoustic pressure and the normal component of the acoustic particle velocity. We apply the nonconforming grid method to the computation of transmission loss (TL) of an expansion chamber utilizing micro-perforated panels (MPPs), which are modeled by a homogenization approach via a complex fluid. The results clearly demonstrate the superiority of the nonconforming FE method over the standard FE method concerning pre-processing, mesh generation flexibility and computational time.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2fa05c63a850fbc0061968088656579e https://doi.org/10.1142/s2591728518500287 Zobrazit plný text záznamu