Some Computational Methods for Sound Radiation Problems
The aim of this chapter is to present two kinds of methods to solve problems in fluid-structure interaction. The first kind of method is based on boundary integral equations and boundary element methods. Several techniques to solve this kind of equations are described in detail (collocation, Galerkin and spectral methods). The second kind of method is based on perturbation techniques. These techniques are applied here to obtain approximations of the solution of boundary integral equations and approximations of eigenmodes and resonance modes. To illustrate the methods, several examples of fluid / structure interactions are considered: baffled plate, cavity closed by a baffled plate, elastic screen, thin shell, immersed in a fluid. Numerical results for the displacement of the structure and the sound pressure radiated in the fluid are presented. Advantages and limitations of each method are pointed out.
KeywordsBoundary Element Method Sound Pressure Collocation Method Resonance Mode Boundary Integral Equation
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