Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media

de Oliveira, H.B.2024-05-022024-05-022024-04http://hdl.handle.net/10400.1/20691In 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.engTurbulenceK-epsilon modellingPermeable mediaExistenceParabolic turbulence k-epsilon model with applications in fluid flows through permeable mediajournal article10.7494/OpMath.2024.44.2.1972300-6919