The Lagrangian kinematic description is used to develop a numerical method for simulation of time-dependent flow of viscoelastic fluids described by integral models. The method is shown to converge to first order in the time step and at least second order in the spatial discretization. The method is tested on the established sphere in a cylinder benchmark problem, and an extension of the problem to transient flow is proposed.
|Journal||Journal of Non-Newtonian Fluid Mechanics|
|Publication status||Published - 1993|