A Wave Based Method for the axisymmetric dynamic analysis of acoustic and poroelastic problems

Element based approaches are most commonly applied to predict the harmonic response of (coupled) acoustic and poroelastic problems. A major disadvantage of these techniques is the practical frequency limitation in that the computational efforts become prohibitively large at higher frequencies. A recently developed Wave Based Method is an efficient alternative deterministic prediction technique which aims at relaxing this frequency limitation by using exact solutions of the governing equations to approximate the field variables. This paper extends the applicability range of this method towards axisymmetric problems. Novel wave function sets, complying with the governing axisymmetric equations, are derived and applied to both coupled and uncoupled acoustic and poroelastic problems. The beneficial efficiency of the method as compared to standard finite element descriptions is illustrated by means of four numerical validation studies.