Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional perturbations

Journal of Non-Newtonian Fluid Mechanics

Volumn 93, Issue 2-3, 2000, Pages 203-244

  Smith, M D ^a   Armstrong, R C ^a   Brown, R A ^a   Sureshkumar, R ^b  

^a Massachusetts Institute of Technology   (United States)

^b WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Oldroyd B fluid; Runge Kutta method; Viscoelastic flows

Indexed keywords

COMPUTER ANALYSIS; FINITE ELEMENT ANALYSIS; FLOW KINETICS; MATHEMATICAL ANALYSIS; STEADY STATE; VISCOELASTICITY;

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTEGRATION; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; RANDOM PROCESSES; RUNGE KUTTA METHODS; VISCOELASTICITY;

COUETTE FLOW; KRYLOV SUBSPACE METHOD; OPERATOR SPLITTING METHOD; VISCOELASTIC FLOWS;

NON NEWTONIAN FLOW;

FINITE ELEMENT ANALYSIS; STEADY FLOW; TWO-DIMENSIONAL FLOW; VISCOELASTIC FLOW;

EID: 0034307617     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(00)00124-5     Document Type: Article

References (45)

1. Purely elastic instabilities in viscometric flows
2. A purely elastic instability in Taylor-Couette flow
3. The effects of gap width and dilute solution properties on the viscoelastic Taylor-Couette instability
4. The effect of fluid rheology on the elastic Taylor-Couette instability
5. Observations of purely elastic instabilities in the Taylor-Dean flow of a Boger fluid
6. The numerical solution of linear boundary value problems
7. Non-axisymmetric modes in viscoelastic Taylor-Couette flow
8. Finite amplitude time-periodic states in viscoelastic Taylor-Couette flow described by the UCM model
9. Linear stability and dynamics of viscoelastic flows using time-dependent simulations
10. On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations
11. A new θ-scheme algorithm and incompressible FEM for viscoelastic fluid flow
12. Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling
13. Finite element methods for the time dependent simulation of viscoelastic fluid flows
14. On a linear instability of a plane parallel Couette flow of viscoelastic fluid
15. Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
16. Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm
17. Stability of small-scale floating zones under microgravity
18. The wake instability in viscoelastic flow past confined circular cylinders
19. Experimental characterization of viscoelastic flow instabilities
20. Viscoelastic flow of polymer solutions around arrays of cylinders: Comparison of experiment and theory
21. Instability in viscoelastic flow around a linear array of cylinders in a channel
22. Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields
23. Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG
24. Numerical calculation of stable three-dimensional Tertiary states in grooved-channel flow
25. The instability of the steady flow past spheres and disks
26. 1-discontinuous-Galerkin finite-element method for scalar conservation laws
27. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework
28. Stability of viscoelastic shear flow subjected to steady or oscillatory transverse flow
29. Non-axisymmetric subcritical bifurcations in viscoelastic Taylor-Couette flow
30. Structure of the spectrum in zero Reynolds shear flow of the UCM and Oldroyd-B liquids
31. Flow instability in polymer melt extrusion
32. Quantitative prediction of the viscoelastic instability in cone-and-plate flow of a Boger fluid using a multi-mode Giesekus model
33. Numerical instability of time-dependent flows