Wall-modeled large-eddy simulation based on spectral-element discretization
<|reference_start|>Wall-modeled large-eddy simulation based on spectral-element discretization: This article analyses the simulation methodology for wall-modeled large-eddy simulations using solvers based on the spectral-element method (SEM). To that end, algebraic wall modeling is implemented in the popular SEM solver Nek5000. It is combined with explicit subgrid-scale (SGS) modeling, which is shown to perform better than the high-frequency filtering traditionally used with the SEM. In particular, the Vreman model exhibits a good balance in terms stabilizing the simulations, yet retaining good resolution of the turbulent scales. Some difficulties associated with SEM simulations on relatively coarse grids are also revealed: jumps in derivatives across element boundaries, lack of convergence for weakly formulated boundary conditions, and the necessity for the SGS model as a damper for high-frequency modes. In spite of these, state-of-the-art accuracy is achieved for turbulent channel flow and flat-plate turbulent boundary layer flow cases, proving the SEM to be a an excellent numerical framework for massively-parallel high-order WMLES.<|reference_end|>
@article{mukha2024wall-modeled,
    title={Wall-modeled large-eddy simulation based on spectral-element
  discretization},
    author={Timofey Mukha and Philipp Schlatter},
    journal={arXiv preprint arXiv:2404.05378},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.05378},
    primaryClass={physics.flu-dyn cs.NA math.NA}
}