@Article{deOliveira2024,
author = "de Oliveira, Hermenegildo Borges",
title = "Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media",
journal = "Opuscula Math.",
year = "2024",
volume = "44",
number = "2",
pages = "197--240",
doi = "https://doi.org/10.7494/OpMath.2024.44.2.197",
url = "https://doi.org/10.7494/OpMath.2024.44.2.197",
abstract = "In this work, we study a one-equation turbulence \(k\)-epsilon model that governs fluid flows through permeable media. The model problem under consideration here is derived from the incompressible Navier-Stokes equations by the application of a time-averaging operator used in the \(k\)-epsilon modeling and a volume-averaging operator that is characteristic of modeling unsteady porous media flows. For the associated initial- and boundary-value problem, we prove the existence of suitable weak solutions (average velocity field and turbulent kinetic energy) in the space dimensions of physics interest.",
keywords = "turbulence, \(k\)-epsilon modelling, permeable media, existence",
issn = "1232-9274"
}