A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles.

التفاصيل البيبلوغرافية
العنوان: A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles.
المؤلفون: de Reboul, Silouane1,2,3 (AUTHOR) silouane.de-reboul@utc.fr, Perrey-Debain, Emmanuel1 (AUTHOR) emmanuel.perrey-debain@utc.fr, Zerbib, Nicolas2 (AUTHOR) nze@esi-group.com, Moreau, Stéphane3 (AUTHOR) stephane.moreau@usherbrooke.ca
المصدر: Wave Motion. Aug2023, Vol. 121, pN.PAG-N.PAG. 1p.
مصطلحات موضوعية: *ACOUSTIC wave propagation, *THEORY of wave motion, *FINITE element method, *WAVE equation
مستخلص: A numerical method is presented to solve the propagation of sound waves in a two-dimensional domain in the presence of rotating obstacles without flow. It relies on a domain decomposition whereby rotating components are all embedded in a circular domain and the Arbitrary Lagrangian Eulerian framework which consists in writing the wave equation in the rotating reference frame. The transmission conditions at the interface between both domains is accomplished via the Frequency Scattering Boundary Conditions which, after classical discretization with the Finite Element Method (FEM), give rise to a series of coupled problems associated with a discrete set of frequencies. The performances of the method are demonstrated through several test cases of increasing complexity. • A numerical method to solve wave propagation in a rotating domain is presented. • The global system may be solved with classical frequency domain solver. • It involves a frequency coupling between the fixed and rotating domain. • The performances of the method are demonstrated through several test cases. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:01652125
DOI:10.1016/j.wavemoti.2023.103171