Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method

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Syrakos, Alexandros ; Georgiou, Georgios C. ; Alexandrou, Andreas N. (2016)
  • Related identifiers: doi: 10.1016/j.jnnfm.2012.12.008
  • Subject: Physics - Fluid Dynamics | Computer Science - Computational Engineering, Finance, and Science | Physics - Computational Physics

We investigate the performance of the finite volume method in solving viscoplastic flows. The creeping square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised as proposed by Papanastasiou [J. Rheol. 31 (... View more
  • References (36)
    36 references, page 1 of 4

    [1] H. A. Barnes, The yield stress { a review or ` Newtonian Fluid Mechanics 81 (1999) 133 { 178.

    [2] E. C. Bingham, Fluidity and plasticity, McGraw-Hill, New York, 1922.

    [3] T. C. Papanastasiou, Flows of materials with yield, Journal of Rheology 31 (1987) 385{404.

    [4] I. Frigaard, C. Nouar, On the usage of viscosity regularisation methods for visco-plastic uid ow computation, Journal of Non-Newtonian Fluid Mechanics 127 (2005) 1 { 26.

    [5] E. O'Donovan, R. Tanner, Numerical study of the Bingham squeeze lm problem, Journal of Non-Newtonian Fluid Mechanics 15 (1984) 75 { 83.

    [6] M. Fortin, R. Glowinski, Augmented Lagrangian Methods: applications to the numerical solution of boundary-value problems, North-Holland, Amsterdam, 1983.

    [7] R. Glowinski, Numerical methods for nonlinear variational problems, Springer, New York, 1984.

    [8] E. J. Dean, R. Glowinski, G. Guidoboni, On the numerical simulation of Bingham visco-plastic ow: Old and new results, Journal of Non-Newtonian Fluid Mechanics 142 (2007) 36 { 62.

    [9] P. Neofytou, A 3rd order upwind nite volume method for generalised Newtonian Advances in Engineering Software 36 (2005) 664{680.

    [14] P. Neofytou, D. Drikakis, Non-Newtonian ow instability in a channel with a sudden expansion, Journal of Non-Newtonian Fluid Mechanics 111 (2003) 127 { 150.

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