The aim of this work is to improve modelling capabilities and reliability of wave propagation models using a commercial finite element package (COMSOL). The current model focusses on investigating the error and accuracy with the change in spatial and temporal discretization. To increase the reliability and inclusiveness of the finite element method, wave propagation has been modelled in solid medium with a cylindrical defect (side drilled hole), in a fluid medium and in a fluid-solid immersion model. The numerical predictions are validated through comparisons with available analytical solutions and experimental data. The model is being developed to incorporate additional complexity and ranges of properties, including operation at elevated temperature.