13 citations · 56 across the 17 of their papers we have counts for
4 papers · 1 filter
Upscaling of Nonlinear Forchheimer Flows
Eugenio Aulisa, Lidia Bloshanskaya, Yalchin Efendiev +1
In this work we propose upscaling method for nonlinear Forchheimer flow in highly heterogeneous porous media. The generalized Forchheimer law is considered for incompressible and s…
Geometric Methods in the Analysis on Non-linear Flows in Porous Media (Preliminary Version)
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
Over the past few years, we developed a mathematically rigorous method to study the dynamical processes associated to nonlinear Forchheimer flows for slightly compressible fluids.…
Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
This work represents an application of constant mean curvature graphs (as solutions of the mean curvature PDE) to non-linear non-Darcy flows in porous media. It relates time invari…
Constructing isothermal curvature line coordinates on surfaces which admit them
Eugenio Aulisa, Magdalena Toda, Zeynep Kose
Isothermic parameterizations} are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic…