Research in Computational Methods for Structural Acoustics.
Final rept. 1 May 92-31 Mar 96,
STANFORD UNIV CA
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The study of structural acoustics and fluid-structure interaction involves the solution of problems of acoustic radiation and scattering, elastic and structural wave propagation, and their interaction. Only relatively few, simple cases can be solved analytically and when the wavelength is of the same order as characteristic length scales asymptotic methods usually cannot be employed. Thus, most configurations of practical interest must be solved by standard computational tools such as boundary element, finite difference and finite element methods. Exterior problems of wave propagation pose a unique challenge to computation since the unbounded region is inappropriate for direct implementation of computational techniques. The derivation of mathematically sound continuous formulations that provide suitable bases for the computation of solutions to exterior problems of acoustics is not a trivial task. The performance of numerical methods that are then based on such a formulation, in terms of accuracy and convergence, as well as computational cost effectiveness, also requires careful consideration. This work reviews recent developments in numerical methods that address these issues.
- Numerical Mathematics
- Theoretical Mathematics