Year: 2025
Type: preprint
Abstract: We present the Spatial-Carrier-Modulated Turbulence Constructive Solution (SCM-Turb), which views a turbulent field as a three-dimensional random carrier folded in space and locally modulated by inertia. An incompressible random background flow U(x,t) serves as the carrier; the nonlinear term |(U•∇)U| acts as the gating signal that triggers sparse fractal bursts (fractional Brownian noise, H<0.5) via a Sigmoid switch. A Reynolds-number-saturated gain (≤30%) controls the global modulation depth. The resulting synthetic fields reproduce the k^(-5/3) energy spectrum, coherent vortices, intermittency, and heavy-tailed gradient distributions at a computational cost orders of magnitude lower than DNS. SCM-Turb offers a ready-to-use turbulent prior for data-hungry applications and engineering closure development.
Author: Hongtao Ling
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4414520491
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