Rare but extreme dissipation events are dynamically important, but their numerical simulation represents a formidable computational challenge given the scale separation of high Reynolds number turbulence. Here, we explore the potential of a reduced dimensionality model, namely, the one-dimensional turbulence (ODT) approach, to represent the structure and evolution of forced homogeneous isotropic turbulence (HIT). We extend the classical ODT formulation to an Eulerian framework by solving the fully compressible equations (solved at low turbulent Mach numbers) including the modeling of all three velocity components. We computed temporally and spatially resolved simulations of forced HIT at Reynolds numbers up to ${\mathrm{Re}}_{\lambda }=5428$ and validated against theoretical and numerical published results. More specifically, we show that the developed compressible formulation of ODT can capture many of the quantitative characteristics of HIT such as the turbulent spectrum, the normalized dissipation rate, the skewness, energy flux, and intermittency, among others, although accompanied by strong compressible effects inherent in the turbulence forcing formulation of the model. The computational tractability of ODT enables a detailed study of the generation of extreme localized dissipation in turbulence. Conditional sampling reveals that occurrence of extreme events is positively correlated with a high frequency of eddies at a specific spatial location and within a short time window.

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• Energy cascade
• Homogeneous turbulence
• Intermittency
• Turbulence