SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS

Autor:	Omar Laghrouche, Peter Bettess
Rok vydání:	2000
Předmět:	Physics Wavelength Acoustics and Ultrasonics Helmholtz equation Plane (geometry) Applied Mathematics Node (physics) Mathematical analysis Plane wave Geometry Mixed finite element method Finite element method Extended finite element method
Zdroj:	Journal of Computational Acoustics. :189-210
ISSN:	1793-6489 0218-396X
DOI:	10.1142/s0218396x00000121
Popis:	The solutions to the Helmholtz equation in the plane are approximated by systems of plane waves. The aim is to develop finite elements capable of containing many wavelengths and therefore simulating problems with large wave numbers without refining the mesh to satisfy the traditional requirement of about ten nodal points per wavelength. At each node of the meshed domain, the wave potential is written as a combination of plane waves propagating in many possible directions. The resulting element matrices contain oscillatory functions and are evaluated using high order Gauss-Legendre integration. These finite elements are used to solve wave problems such as a diffracted potential from a cylinder. Many wavelengths are contained in a single finite element and the number of parameters in the problem is greatly reduced.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ffa3a28b3d36927f2b8cd3adbef4b884 https://doi.org/10.1142/s0218396x00000121 Zobrazit plný text záznamu