| Issue |
ESAIM: ProcS
Volume 78, 2025
Sixth Workshop on Compressible Multiphase Flows: Derivation, Closure laws, Thermodynamics
|
|
|---|---|---|
| Page(s) | 37 - 57 | |
| DOI | https://doi.org/10.1051/proc/202578037 | |
| Published online | 10 December 2025 | |
A class of turbulent K-models for compressible flows based on a thermodynamical approach
EDF Lab, department of Fluid Mechanics, Energy and Environment, Chatou, FR-78400, France
This work proposes a thermodynamics-based derivation of a single-equation K model for turbulence in compressible flows. Unlike classical RANS approaches, this framework ensures hyperbolicity and well-defined shocks while avoiding complex closure modeling. The model naturally incorporates turbulence effects into temperature, which is essential for reactive flows such as premixed flame propagation. A theoretical analysis of turbulent shocks is provided, and the proposed model is compared with a classical K model, showing strong similarities under specific closures.
© EDP Sciences, SMAI 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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