27 citations · 113 across the 12 of their papers we have counts for
12 papers
Estimating relative diffusion from 3D micro-CT images using CNNs
Stephan Gärttner, Florian Frank, Fabian Woller +2
In the past several years, convolutional neural networks (CNNs) have proven their capability to predict characteristic quantities in porous media research directly from pore-space…
Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS
Stephan Gärttner, Faruk O. Alpak, Andreas Meier +2
In recent years, convolutional neural networks (CNNs) have experienced an increasing interest in their ability to perform a fast approximation of effective hydrodynamic parameters…
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics
Philipp Werner, Martin Burger, Florian Frank +1
The aim of this paper is to develop suitable models for the phenomenon of cell blebbing, which allow for computational predictions of mechanical effects including the crucial inter…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
Cristian D. Alecsa, Imre Boros, Florian Frank +5
This article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in heterogeneous aquifers. F…
An interior penalty discontinuous Galerkin approach for 3D incompressible Navier--Stokes equation for permeability estimation of porous media
Chen Liu, Florian Frank, Faruk O. Alpak +1
Permeability estimation of porous media from direct solving Navier--Stokes equation has a wide spectrum of applications in petroleum industry. In this paper, we utilize a pressure-…
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface
Balthasar Reuter, Andreas Rupp, Vadym Aizinger +2
This is the fourth installment in our series on implementing the discontinuous Galerkin (DG) method as an open source MATLAB /GNU Octave toolbox. Similarly to its predecessors, thi…
An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods
Florian Frank, Chen Liu, Alessio Scanziani +2
We consider an energy-based boundary condition to impose an equilibrium wetting angle for the Cahn-Hilliard-Navier-Stokes phase-field model on voxel-set-type computational domains.…
A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging
Florian Frank, Chen Liu, Faruk O. Alpak +1
A numerical method is formulated for the solution of the advective Cahn-Hilliard (CH) equation with constant and degenerate mobility in three-dimensional porous media with non-vani…
Stabilized density gradient theory algorithm for modeling interfacial properties of pure and mixed systems
Xiaoqun Mu, Florian Frank, Faruk O. Alpak +1
Density gradient theory (DGT) allows fast and accurate determination of surface tension and density profile through a phase interface. Several algorithms have been developed to app…
A survey of sparse matrix-vector multiplication performance on large matrices
Max Grossman, Christopher Thiele, Mauricio Araya-Polo +3
We contribute a third-party survey of sparse matrix-vector (SpMV) product performance on industrial-strength, large matrices using: (1) The SpMV implementations in Intel MKL, the T…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting
Balthasar Reuter, Vadym Aizinger, Manuel Wieland +2
This is the second in a series of papers on implementing a discontinuous Galerkin (DG) method as an open source Matlab / GNU Octave toolbox. The intention of this ongoing project i…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator
Florian Frank, Balthasar Reuter, Vadym Aizinger +1
This is the first in a series of papers on implementing a discontinuous Galerkin method as a MATLAB / GNU Octave toolbox. The main goal is the development of techniques that delive…