Propagator-moments approximation for recurrence CFD: Application to species transport in turbulent flows
Year: 2025
Type: article
Abstract: • Propagator formalism as theoretical background for large-step transport. • Data-driven approximations for convection and diffusion. • Validation in double-sided, lid-driven cavity flow. • Application to residence time simulation in a steel-making tundish. • Faster-than-real-time simulations. Accurate, long-term simulations of turbulent flows pose a large challenge for standard CFD algorithms. Recurrence CFD (rCFD) provides a simple, data-assisted approximation for recurrent dynamics. We present the theoretical foundations of this approach in terms of propagator theory for passive transport processes and derive expressions for convective and diffusive contributions to large-step species transfer. We tested our new implementation on a double-sided, cuboid lid-driven cavity and compared various treatments of diffusion against detailed CFD calculations. Based on these insights, we applied the methodology to a down-scaled, industrial case of impurity transport in a steelmaking tundish at Reynolds number R e = 220 , 000 . We obtained results in mostly very good agreement with detached-eddy simulations at 1/2700 of their runtime, which made rCFD faster than real time.
Source: Chemical Engineering Science
Authors: H. Lumetzberger, S. Pirker, T. Lichtenegger
Institutions: Johannes Kepler University of Linz, K1-MET GmbH (Austria)
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,050
OpenAlex ID: W4409199382