Discrete Hamilton´s equations for distributed property systems simulations

Most conventional models for distributed property systems are developed using the weighted residual and finite difference solution techniques prevalent in the computational mechanics literature. An alternative approach to such problems is developed. It applies Hamilton´s equations to a discrete representation of the physical system, the latter established using either particle, finite element, or hybrid particle-element interpolation schemes. The method has application to a wide range of thermomechanical solid, fluid, and coupled solid-fluid problems.