A Comparison of Finite Element and Finite Volume Methods for Computational Structural Mechanics and their Application in Multi-Physics Problems

摘要

This paper describes a three-dimensional finite volume, vertex based method for dynamic solid mechanics including a comparison with a finite element formulation. A novel Newmark predictor-corrector implicit scheme was developed to provide time accurate solutions and the scheme was evaluated on a three-dimensional cantilever problem. By employing a small amount of viscous damping, very accurate predictions of the fundamental natural frequency were obtained with respect to both the amplitude and period of oscillation. This scheme has been implemented into the multi-physics modelling software framework, P{sub}(HYSICA), for application to full dynamic fluid structure interaction.