3 papers
math.NA2025
Numerical solution of the unsteady Brinkman equations in the framework of (div)-conforming finite element methods
Costanza Aricò, Rainer Helmig, Ivan Yotov
We present projection-based mixed finite element methods for the solution of the unsteady Brinkman equations for incompressible single-phase flow with fixed in space porous solid i…
math.NA2025
Improvement of fully-implicit two-phase pore-network models by employing generalized flux functions with additional throat variables
Martin Schneider, Hanchuan Wu, Maziar Veyskarami +2
In fully-implicit two-phase pore-network models, developing a well-converged scheme remains a major challenge, primarily due to the discontinuities in the phase conductivities. Thi…
math.NA2024
Data-Driven Closure Parametrizations with Metrics: Dispersive Transport
Edward Coltman, Martin Schneider, Rainer Helmig
This work presents a data-driven framework for multi-scale parametrization of velocity-dependent dispersive transport in porous media. Pore-scale flow and transport simulations are…