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In the high-frequency regime, the new artificial boundary condition can be used as an on-surface radiation condition for efficient approximation of the wave field.
Furthermore, the acoustic boundary condition can be changed to that of a choked flow without actually needing the flow to be choked.
The problem is approached by the Rayleigh Ritz method so that virtually any boundary condition can be dealt with by applying a single procedure.
The results show that a constant vacuum pressure boundary condition can be enough to describe a perforated pipe surrounded by drainage gravel with a reasonable value of well radius, such as half the radius of gravel fill.
A novel so-called 'multi-level' modelling approach is proposed which is applicable to the study of a configuration of well separated obstacles of arbitrary shape on which any type of acoustic boundary condition can be applied.
Any Neumann boundary condition can be satisfied by adjusting all the Chebyshev coefficients of a solution, which results in a small influence on the solution and its derivatives except at the boundary.
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Therefore, arbitrary boundary conditions can be satisfied.
Thus, the boundary conditions can be imposed directly.
Therefore, the essential boundary conditions can be easily implemented.
Furthermore, different plate boundary conditions can be accommodated.
Both Dirichlet and Neumann boundary conditions can be treated.
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