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 [Gupta & Vincenzi, J. Fluid Mech. 870, 405-418 (2019); Dzanic, From & Sauret, 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.
Relative dispersion and eddy diffusivity in laboratory experiments of $β$-plane turbulence
University of St Andrews（圣安德鲁斯大学）；University of Glasgow（格拉斯哥大学）；Aix Marseille Univ, CNRS, Centrale Med, IRPHE（艾克斯-马赛大学、法国国家科学研究中心、中央马赛学院、IRPHE）；Department of Geosciences, University of Oslo（奥斯陆大学地球科学系）
Scalar Dissipation Criticality in Compressible Magnetized Turbulence
ETH Zürich（苏黎世联邦理工学院）；Flatiron Institute, Simons Foundation（西蒙斯基金会平顿研究所）；School of Mathematics, IAS, Princeton（普林斯顿高等研究院数学学院）；GSSI, L’Aquila, Italy（意大利拉奎拉全球南方科学研究所）
An explicit relaxation filtering framework based upon Perona-Malik anisotropic diffusion for shock capturing and subgrid scale modeling of Burgers turbulence
Direct Numerical Simulations of Ice-Ocean Boundary Turbulence
University of North Carolina at Chapel Hill（北卡罗来纳大学教堂山分校）；University of Maryland at College Park（马里兰大学帕克分校）；Oregon State University（俄勒冈州立大学）；University of Tasmania（塔斯马尼亚大学）；University of Canterbury（坎特伯雷大学）
