An efficient Wave Based Method for solving Helmholtz problems in three-dimensional bounded domains

This paper discusses the use of the Wave Based Method for the analysis of time-harmonic three-dimensional (3D) interior acoustic problems. Conventional element-based prediction methods, such as the Finite Element Method, are most commonly used for these types of problems, but they are restricted to low-frequency applications. The Wave Based Method is an alternative deterministic technique which is based on the indirect Trefftz approach. Up to now, this method's very high computational efficiency has been illustrated mainly for two-dimensional (2D) problem settings, allowing the analysis of problems at higher frequencies. The numerical validation examples presented in this work shows that the enhanced computational efficiency of the Wave Based Method in comparison with conventional element-based methods is kept when the method is extended to 3D case with and without the presence of material damping.

► The Wave Based Method is a novel modelling approach for 2D Helmholtz problems.
► An extension of this modelling paradigm is proposed aimed to solve 3D interior problems.
► The resulting method retains the its computational advantage over existing techniques.
► Numerical validations illustrate the flexibility and efficiency of the approach.