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arXiv · 1812.08859

A finite volume method for the simulation of elastoviscoplastic flows and its application to the lid-driven cavity case

Alexandros Syrakos·Yannis Dimakopoulos·John Tsamopoulos
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Abstract

We propose a Finite Volume Method for the simulation of elastoviscoplastic flows, modelled after the extension to the Herschel-Bulkley model by Saramito [J. Non-Newton. Fluid Mech. 158 (2009) 154-161]. The method is akin to methods for viscoelastic flows. It is applicable to cell-centred grids, both structured and unstructured, and includes a novel pressure stabilisation technique of the "momentum interpolation" type. Stabilisation of the velocity and stresses is achieved through a "both sides diffusion" technique and the CUBISTA convection scheme, respectively. A second-order accurate temporal discretisation scheme with adaptive time step is employed. The method is used to obtain benchmark results of lid-driven cavity flow, with the model parameters chosen so as to represent Carbopol. The results are compared against those obtained with the classic Herschel-Bulkley model. Simulations are performed for various lid velocities, with slip and no-slip boundary conditions, and with different initial conditions for stress. Furthermore, we investigate the cessation of the flow, once the lid is suddenly halted.

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Alexandros Syrakos, Yannis Dimakopoulos, John Tsamopoulos. 2018-12-19. A finite volume method for the simulation of elastoviscoplastic flows and its application to the lid-driven cavity case. https://arxiv.org/abs/1812.08859

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