Abstract
We investigate the need for the second correction step in the recently proposed LES-C models for fluid flows at high Reynolds numbers. These models use a predictor-corrector idea to enhance the efficiency of the existing Large Eddy Simulation models. Different three-step (one defect step, two corrections) LES-C models, based on the Leray-α, ADM and NS-ω LES models, are tested in three different situations. The new Leray-α-C2 model (C2 stands for two correction steps) is applied to the Navier–Stokes equations; the ADC2 is applied to the MagnetoHydroDynamic flow; and the NS-ω-C2 is used in the fluid-fluid interaction problem. We evaluate the effectiveness of the second correction step in all these settings, using qualitative and quantitative numerical tests.
| Original language | English |
|---|---|
| Article number | 72 |
| Journal | Computational and Applied Mathematics |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2025 |
Funding
Notice: This manuscript has been authored in part by UT-Battelle, LLC under contract No. DE-AC05-00OR22725 with the U.S. Department of energy (DOE). The U.S. government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for U.S. government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan ( https://energy.gov/downloads/doe-public-access-plan ). The third author would like to acknowledge that his contribution to this manuscript was completed while supported by Michigan Technological University under a Doctoral Finishing Fellowship.
Keywords
- Defect correction
- Higher accuracy
- Large eddy simulation
- LES-C
- Turbulence model