Application of an indirect Trefftz method (Wave Based Method) for the spectral analysis of 2D unbounded saturated porous media

The Wave Based Method (WBM) belongs to the family of indirect Trefftz methods and uses weighted wave functions in order to model boundary value problems. These wave functions have to satisfy the underlying differential equations and usually violate the boundary conditions of a WBM element. A weighted residual formulation permits to minimize this error by determining the weighting factor for each wave function. By applying the WBM to a 2D saturated soil structure, the propagation of two longitudinal waves and one shear wave is modeled. In compliance with Biot's theory, the field variables consist of displacement components in the solid phase and seepage components in the fluid, which influence the decay of the wave amplitude within the structure. In order to fulfill the Sommerfeld radiation condition, this model is extended by an absorbing boundary condition, which transmits incident waves. Afterwards the model is tested for different excitation frequencies and hydraulic conductivities in order to observe the radiated power within one period.     «

The Wave Based Method (WBM) belongs to the family of indirect Trefftz methods and uses weighted wave functions in order to model boundary value problems. These wave functions have to satisfy the underlying differential equations and usually violate the boundary conditions of a WBM element. A weighted residual formulation permits to minimize this error by determining the weighting factor for each wave function. By applying the WBM to a 2D saturated soil structure, the propagation of two longitudi...     »