Conserving elastic turbulence numerically using artificial diffusivity

V. Dzanic, Christopher From, Emilie Sauret

Research output: Contribution to journalLetterpeer-review


To simulate elastic turbulence, where viscoelasticity dominates, numerical solvers introduce an artificial stress diffusivity term to handle the steep polymer stress gradients that ensue. This has recently been shown [A. Gupta and D. Vincenzi, J. Fluid Mech. 870, 405 (2019); V. Dzanic et al., J. Fluid Mech. 937, A31 (2022)] to introduce unphysical artifacts with a detrimental impact on simulations. In this Letter, we propose that artificial diffusion is limited to regions where stress gradients are steep instead of seeking the zero-diffusivity limit. Through the cellular forcing and four-roll mill problem, we demonstrate that this modified artificial diffusivity is devoid of unphysical artifacts, allowing all features of elastic turbulence to be retained. Results are found to conform with direct simulations, reducing the impact of artificial diffusivity from a qualitative scale to a quantitative scale while only requiring a fraction of the numerical resolution.
Original languageEnglish
Article numberL013101
Number of pages5
JournalPhysical Review E: covering statistical, nonlinear, biological, and soft matter physics
Publication statusPublished - 12 Jul 2022


  • Viscoelasticity
  • Computational Methods
  • Flow Instability


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