Accurate finite difference methods for time-harmonic wave propagation
Journal of Computational Physics
On nonreflecting boundary conditions
Journal of Computational Physics
A domain decomposition method for the Helmholtz equation and related optimal control problems
Journal of Computational Physics
Advances in Engineering Software - Engineering computational technology
Dirichlet-to-Neumann boundary conditions for multiple scattering problems
Journal of Computational Physics
Nonreflecting boundary condition for time-dependent multiple scattering
Journal of Computational Physics
Journal of Computational Physics
Exact non-reflecting boundary conditions
Journal of Computational Physics
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Journal of Computational and Applied Mathematics
A stable discontinuous Galerkin-type method for solving efficiently Helmholtz problems
Computers and Structures
Journal of Computational Physics
Hi-index | 31.45 |
The aim of the work presented in this paper is the numerical solution of low- and mid-frequency time-harmonic acoustic multiple-scattering problem. 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. The generic character of the method is obtained by embedding the superposition principle for the multiple-scattering influence in a state-of-the-art acoustic modelling technique, the so-called Wave Based Method. The resulting approach successfully alleviates the geometrical limitations of the underlying Trefftz-based method and preserves the method's computational efficiency, resulting in a generic multiple-scattering modelling framework with a superior computational efficiency in the low- as well as the mid-frequency range. Several numerical validation examples show that the proposed approach is as accurate as the classical single-scattering Wave Based Method and illustrate the computational efficiency as compared to Boundary Element Methods.