A finite element algorithm for the study of nonlinear standing waves

Autor:	E. Riera-Franco de Sarabia, L. Elvira-Segura
Rok vydání:	1998
Předmět:	Physics Standing wave Classical mechanics Nonlinear acoustics Acoustics and Ultrasonics Arts and Humanities (miscellaneous) Mathematical analysis Mixed finite element method Boundary value problem Antiresonance Wave equation Finite element method Extended finite element method
Zdroj:	The Journal of the Acoustical Society of America. 103:2312-2320
ISSN:	0001-4966
DOI:	10.1121/1.422750
Popis:	A finite element method (FEM) is presented for the study of nonlinear acoustic standing waves inside a chamber. The method is developed using the Galerkin–Bubnov weighted residual formulation and applied to solve the Lagrangian second-order wave equation, including thermal and viscous dissipation terms. A one-dimensional problem is studied in the frequency domain. Numerical data are compared with analytical results obtained by using a perturbation scheme for the cases of resonance and antiresonance in a rigid-walled tube with one-sided rigid or pressure release boundary condition. The FEM algorithm is shown to be well suited for the study of high-frequency standing wave fields in which the effect of absorption cannot be described by simple analytical expressions.
Databáze:	OpenAIRE
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