72 citations · 260 across the 29 of their papers we have counts for
33 papers
Rigorous Derivation of Discrete Fracture Models for Darcy Flow in the Limit of Vanishing Aperture
Maximilian Hörl, Christian Rohde
We consider single-phase flow in a fractured porous medium governed by Darcy's law with spatially varying hydraulic conductivity matrices in both bulk and fractures. The width-to-l…
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: strong boundary interactions
Taras Mel'nyk, Christian Rohde
This article completes the study of the influence of the intensity parameter in the boundary condition $\varepsilon \partial_{\boldsymbolν_\varepsilon} u_\varepsilon - u_\varep…
Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks
Taras Mel'nyk, Christian Rohde
We consider time-dependent convection-diffusion problems with high Péclet number of order in thin three-dimensional graph-like networks consisting o…
Asymptotic expansion for convection-dominated transport in a thin graph-like junction
Taras Mel'nyk, Christian Rohde
We consider for a small parameter a parabolic convection-diffusion problem with Péclet number of order in a three-dimensional graph…
Flow in Porous Media with Fractures of Varying Aperture
Samuel Burbulla, Maximilian Hörl, Christian Rohde
We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures an…
A Molecular-Continuum Multiscale Model for Inviscid Liquid-Vapor Flow with Sharp Interfaces
Jim Magiera, Christian Rohde
The dynamics of compressible liquid-vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscal…