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June 13, 2024Journal of Non-Newtonian Fluid MechanicsOpen Access

A mesh-free framework for high-order simulations of viscoelastic flows in complex geometries

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Authors

JKJ.R.C. KingSLSteven Lind

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Overview

Simulation study demonstrates high-order accurate viscoelastic flow solutions in complex geometries, highlighting potential for resolving elastic flow instabilities.

Key Points

  • Viscoelastic flows achieve high-order accuracy and numerical stability across complex geometries through a flexible meshless formulation with variable resolution.
  • Convergence rates reach up to 9th order across benchmarks, while log-conformation formulations maintain numerical stability across varying Weissenberg numbers.
  • Simulations applying the Oldroyd B model capture symmetry breaking in porous media flow, highlighting potential for resolving three-dimensional elastic instabilities.

Cite This Study

King et al. (2024) studied this question.

synapsesocial.com/papers/68e64e77b6db6435875deba1https://doi.org/10.1016/j.jnnfm.2024.105278
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