Vincent, S., Sarthou, A., Caltagirone, J.-P., Sonilhac, F., Février, P., Mignot, C. and Pianet, G. (2011) Augmented Lagrangian and Penalty Methods for the Simulation of Two-Phase Flows Interacting with Moving Solids. Application to Hydroplaning Flows Interacting with Real Tire Tread Patterns. Journal of Computational Physics, 230, 956-983.
https://doi.org/10.1016/j.jcp.2010.10.006

has been cited by the following article:

• TITLE: Improvement of the Viscous Penalty Method for Particle-Resolved Simulations

  AUTHORS: Mohamed-Amine Chadil, Stéphane Vincent, Jean-Luc Estivalèzes

  KEYWORDS: Particle-Resolved DNS, Viscous Penalty Method, Finite Volumes, Staggered Grids, One-Fluid Model

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.9 No.2, June 26, 2019

  ABSTRACT: A numerical study of the parameters controlling the viscous penalty method is investigated to better set up Particle-Resolved Direct Numerical Simulations (PR-DNS) of particulate flows. Based on this analysis, improvements of the methods are proposed in order to reach an almost second order convergence in space. The viscous penalty method is validated in Stokes regime by simulating a uniform flow past a fixed isolated cylinder. Moreover, it is also utilized in moderate Reynolds number regime for a uniform flow past a square configuration of cylinder and compared in terms of friction factor to the well-known Ergun correlation.