MESHLESS STOCHASTIC SIMULATION OF MICRO-MACRO KINETIC THEORY MODELS

We present in this paper a numerical technique for the stochastic simulation of molecular models of viscoelastic fluids based on kinetic theory. The technique is based on the use of meshless methods and allows for an updated Lagrangian description of the conservation equations. It makes use of natural neighbor Galerkin schemes that allow for a proper geometrical description of the domain as it evolves. The presented technique is especially well suited for the numerical simulation of free-surface flows. In this way, model molecules are associated with nodal positions such that they are advected with material velocities. Problems associated with lack of molecules in certain elements, for instance, as encountered in the basic implementation of CONNFFESSIT approaches, are thus avoided. We present examples of validation and also performance tests of this technique applied to finite extension nonlinear elastic (FENE) and reptation (Doi-Edwards) models.