A higher-order upwind method for viscoelastic flow

A Higher-order Upwind Method for Viscoelastic Flow

A conservative finite difference method designed to capture elastic wave propagation in viscoelastic fluids in two space dimensions is presented. The governing equations are the incompressible Navier-Stokes equations coupled to the Oldroyd-B constitutive equations for viscoelastic stress. The equations are cast into a hybrid conservation form to make use of a second-order upwind method to treat...

Simulation for Viscoelastic Flow by a Finite Volume/Element Method

Stability of a second-order finite element/finite volume hybrid scheme is investigated on the basis of flows with increasing Weissenberg number. Finite elements are used to discretise the balances of mass and momentum. For the stress equation a finite volume method is used, based on the recent development with fluctuation distribution schemes for pure convection problems. Examples considered in...

A domain decomposition method for the Oseen-viscoelastic flow equations

We study a non-overlapping domain decomposition method for the Oseen-viscoelastic flow problem. The data on the interface are transported through Newmann and Dirichlet boundary conditions for the momentum and constitutive equations, respectively. The discrete variational formulations of subproblems are presented and investigated for the existence of solutions. We show convergence of the domain ...

A semi-Lagrangian micro-macro method for viscoelastic flow calculations

A Numerical Method for Modeling Time-Dependent Viscoelastic Fluid Flow

A numerical method for modeling time-dependent viscoelastic uid ow, Abstract A numerical method to solve a system of partial diierential equations (PDE), modeling time-dependent viscoelastic uid ow, is developed. The Upper Con-vected Maxwell (UCM) model, and the related Oldroyd-B and Giesekus models are used as constitutive equations, and a linear equation of state allows the uid to be slightly...