GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Journal of Scientific Computing
An analysis of the fractional step method
Journal of Computational Physics
Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows
Journal of Scientific Computing
SIAM Journal on Scientific Computing
An Object-Oriented Toolbox for Spectral Element Analysis
Journal of Scientific Computing
Steady Gap Flows by the Spectral and Mortar Element Method
Journal of Scientific Computing
Simulations of Time-Dependent Flows of Viscoelastic Fluids with Spectral Element Methods
Journal of Scientific Computing
On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods
Journal of Scientific Computing
Simulations of Time-Dependent Flows of Viscoelastic Fluids with Spectral Element Methods
Journal of Scientific Computing
Spectral element methods for transient viscoelastic flow problems
Journal of Computational Physics
BiGlobal stability analysis in curvilinear coordinates of massively separated lifting bodies
Journal of Computational Physics
Hi-index | 31.46 |
This paper presents the development of spectral element methods to simulate unsteady flows of viscoelastic fluids using a closed-form differential constitutive equation. The generation and decay Poiseuille planar flows are considered as benchmark problems to test the abilities of our computational method to deal with truly time-dependent flows. Satisfactory results converging toward steady-state regimes have been obtained for the flow through a four-to-one planar abrupt contraction with unsteady algorithms. Time-dependent simulations of viscoelastic flows are prone to numerical instabilities even for simple geometrical configurations. Possible methods to improve the numerical stability of the computational algorithms are discussed in view of the results carried out with numerical simulations for the flows through a straight channel and the four-to-one contraction.