A novel implicit integration scheme for the Discrete Element Method (DEM) based on variational integrator approach is presented. The numerical solver provides a fully dynamical description that, notably, reduces to an energy minimisation in quasi-static limit. detailed derivation of method presented Hookean contact model and tested against established open source DEM package that uses velocity-...

This paper develops a fully discrete modified characteristic finite element method for a coupled system consisting of the fully nonlinear Monge–Ampère equation and a transport equation. The system is the Eulerian formulation in the dual space for B. J. Hoskins’ semigeostrophic flow equations, which are widely used in meteorology to model frontogenesis. To overcome the difficulty caused by the s...

We present a new numerical model describing the transformation of powder crystalline particles into dense poly-crystalline material. It is based on key phenomena sintering: shrinkage and grain coarsening driven by minimization free energy. Representing each truncated sphere, takes account complex changing shape grains for determining thermodynamic driving forces associated kinetic coefficients....