Multiscale simulation of viscoelastic free surface flows

A computational study of the effect of viscoelasticity on slot coating flow of dilute polymer solutions

“…Studies related to viscoelastic coating flows have only recently been attempted and are limited [19][20][21][22][23][24][25]. For slot coating flow in particular, calculations of steady Newtonian [3,4,[9][10][11][12] and viscoelastic flows [19,20,23,25] have been reported in the literature. To some extent, the limited number of studies in the area of viscoelastic coating flow can be attributed to the complexity posed by the presence of free surfaces especially at low Capillary number, Ca (defined as the ratio of viscous to surface forces).…”

A Multi-scale Parallel Numerical Solver for Modeling of Two-phase Viscoelastic Fluids Based on the OpenFOAM

“…In practice the BCF method works very well and has been applied to simulation of numerous viscoelastic flows, including the flow past a cylinder [6,12], viscoelastic free surface flows [13], contraction and expansion flows [14], Couette flow, Poiseuille flow, lid driven cavity flow [8] and flow between eccentrically rotating cylinders [15]. Due to the spatial smoothness, the BCF method has a considerable increased numerical stability.…”

An efficient algorithm for multiscale flow simulation of dilute polymeric solutions using bead-spring chains

“…The BCF equations (8) are discretized using the SUPG technique [22] in which the weighting functions are modified as…”

“…Although in recent years significant progress in variance reduction methods [5,6] as well as algorithmic advances, i.e., development of semi-implicit [7,8] and fully implicit [9] techniques for multiscale flow simulation of dilute polymer solutions have been made, the multiscale approach still remains computationally intensive in comparison to continuum-level flow simulations of viscoelastic fluids using single or multimode constitutive equations. Hence, to date all the large-scale complex kinematics multiscale flow simulations of dilute polymeric solutions have been restricted to very simple mesoscopic models for the polymer molecule, namely, single segment elastic dumbbell models [10,11].…”