Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session J37: Rheology I
4:35 PM–6:32 PM,
Sunday, November 19, 2023
Room: 203AB
Chair: William Schultz, University of Michigan
Abstract: J37.00007 : Smoothed-Particle Hydrodinamics simularions of viscoelastic integral fractional models*
5:53 PM–6:06 PM
Presenter:
Luca Santelli
(Basque Center for Applied Mathematics)
Authors:
Luca Santelli
(Basque Center for Applied Mathematics)
Adolfo Vázquez-Quesada
(Universidad Nacional de Educación a Distancia)
Marco Ellero
(Basque Center for Applied Mathematics)
Classical integral viscoelastic models have been already proposed more than thirty years ago [2], however they required to perform complex tasks, such as reconstructing the flow history using Eulerian grid-based, e.g. finite element method, frameworks. Using the Lagrangian Smoothed-Particle Hydrodynamics (SPH) method [3] greatly ease the process, as the flow history is already available and the only passage needed is the computation of a convolution with a specific kernel.
Hence, we develop here a SPH integral viscoelastic method which is first validated for simple Maxwell or Oldroyd-B models under Small Amplitude Oscillatory Shear flows (SAOS). The method is then expanded to include fractional constitutive models [4], validating the approach by comparing results with theory and experimental results under SAOS.
[1] P Yang, YC Lam,K Zhu, J. Non-Newtonian Fluid Mech. 165, 88 (2010).
[2] X-L Luo and RI Tanner, International J. Numerical Methods in Engineering 25, 9 (1988).
[3] A Vázquez-Quesada, P Espanol, RI Tanner and M Ellero, J. Fluid Mech. 880, 1070 (2019).
[4] A Jaishankar and GH McKinley, J. Rheo. 58, 1751 (2014).
*L. Santelli aknowledge the support of GNFM-INdAM
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