Non-dissipative large-eddy simulation of high-pressure transcritical turbulent flows: formulation and a priori analysis

Abstract

This work presents a filtered set of equations suitable for the large-eddy simulation of high-pressure transcritical turbulent flows. The formulation is derived from a novel kinetic-energy- and pressureequilibrium- preserving numerical framework, recently proposed to provide physics-compatible (stable and non-dissipative) simulations of the problem. In particular, the compressible Navier-Stokes equations are required to describe the evolution of supercritical fluids along with adequate real-gas thermodynamic closures based, for example, on the Peng-Robinson equation of state. The novelty of this work focuses, therefore, on (i) deriving the filtered set of equations based on the kinetic-energy and pressure-equilibriumpreserving framework, (ii) identifying the sub-filtered unclosed terms, and (iii) performing exploratory assessments of the resulting framework. In the future, these results will potentially enable the design of physics-based sub-filter scale models for high-fidelity LES of high-pressure transcritical turbulent flows.

This work is funded by the European Union (ERC, SCRAMBLE,101040379).

Peer Reviewed

Postprint (published version)