Heterogeneous multiscale methods for rough-wall laminar viscous flow
Numerical Analysis
2021-10-14 v2 Numerical Analysis
Abstract
We develop numerical multiscale methods for viscous boundary layer flow. The goal is to derive effective boundary conditions, or wall laws, through high resolution simulations localized to the boundary coupled to a coarser simulation in the domain interior. The multiscale framework is analyzed in the context of laminar flow over a rough boundary. Asymptotic analysis shows that, up to a small perturbation, the method recovers the slip constant in the wall law derived from periodic homogenization theory. Numerical experiments illustrate the utility of the method for more general roughness patterns and fair field flow conditions.
Cite
@article{arxiv.1910.06482,
title = {Heterogeneous multiscale methods for rough-wall laminar viscous flow},
author = {Sean Carney and Björn Engquist},
journal= {arXiv preprint arXiv:1910.06482},
year = {2021}
}