Numerical Methods for Viscoelastic Fluid Flows

Complex fluids exist in nature and are continually engineered for specific applications involving the addition of macromolecules to a solvent, among other means. This imparts viscoelasticity fluid, property responsible various flow instabilities major modifications fluid dynamics. Recent developments numerical methods simulation viscoelastic flows, described by continuum-level differential constitutive equations, surveyed, with particular emphasis on finite-volume method. method is briefly described, main benchmark flows currently used computational rheology assess performance presented. Outstanding issues novel challenging fluids, some which require further methods, discussed.