High Weissenberg number simulations with incompressible Smoothed Particle Hydrodynamics and the log-conformation formulation

Viscoelastic flows occur widely, and numerical simulations of them are important for a range industrial applications. Simulations viscoelastic more challenging than their Newtonian counterparts due to the presence exponential gradients in polymeric stress fields, which can lead catastrophic instabilities if not carefully handled. A key development overcome this issue is log-conformation formulation, has been applied methods, but previously Smoothed Particle Hydrodynamics (SPH). Here we present 2D incompressible SPH algorithm which, first time, incorporates formulation with an elasto-viscous splitting (EVSS) technique. The resulting scheme enables at high Weissenberg numbers (accurate up Wi=85 Poiseuille flow). method robust, able handle both internal free-surface flows, linear non-linear constitutive models. Several test cases considerd included flow past periodic array cylinders jet buckling. This presents significant step change capabilties compared previous algorithms potential simulate wide new