Florian Frank
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A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition
FO Alpak, B Riviere, F Frank
Computational Geosciences 20 (5), 881-908, 2016
Multiscale modeling of colloid and fluid dynamics in porous media including an evolving microstructure
N Ray, T van Noorden, F Frank, P Knabner
Transport in porous media 95 (3), 669-696, 2012
A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging
F Frank, C Liu, FO Alpak, B Riviere
Computational Geosciences, 2018
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part I: Diffusion operator
F Frank, B Reuter, V Aizinger, P Knabner
Computers & Mathematics with Applications 70 (1), 11-46, 2015
Direct numerical simulation of flow on pore-scale images using the phase-field method
F Frank, C Liu, FO Alpak, S Berg, B Riviere
SPE Journal 23 (05), 1,833-1,850, 2018
Stabilized density gradient theory algorithm for modeling interfacial properties of pure and mixed systems
X Mu, F Frank, FO Alpak, WG Chapman
Fluid Phase Equilibria 435, 118-130, 2017
Strong solvability up to clogging of an effective diffusion–precipitation model in an evolving porous medium
R Schulz, N Ray, F Frank, HS Mahato, P Knabner
European Journal of Applied Mathematics, 1-29, 2016
Numerical investigation of homogenized Stokes–Nernst–Planck–Poisson systems
F Frank, N Ray, P Knabner
Computing and visualization in science 14 (8), 385-400, 2011
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part II: Advection operator and slope limiting
B Reuter, V Aizinger, M Wieland, F Frank, P Knabner
Computers & Mathematics with Applications 72 (7), 1896-1925, 2016
A survey of sparse matrix-vector multiplication performance on large matrices
M Grossman, C Thiele, M Araya-Polo, F Frank, FO Alpak, V Sarkar
arXiv preprint arXiv:1608.00636, 2016
An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods
F Frank, C Liu, A Scanziani, FO Alpak, B Riviere
Journal of Colloid and Interface Science 523, 282-291, 2018
A distributed parallel direct simulator for pore-scale two-phase flow on digital rock images using a finite difference implementation of the phase-field method
F Alpak, A Samardžić, F Frank
Journal of Petroleum Science and Engineering 166, 806-824, 2018
Inexact hierarchical scale separation: A two-scale approach for linear systems from discontinuous Galerkin discretizations
C Thiele, M Araya-Polo, FO Alpak, B Riviere, F Frank
Computers & Mathematics with Applications, 2017
Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn–Hilliard equation
F Frank, A Rupp, D Kuzmin
Computer Methods in Applied Mechanics and Engineering 359, 112665, 2020
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface
B Reuter, A Rupp, V Aizinger, F Frank, P Knabner
Communications in Computational Physics 28 (2), 827–876, 2020
FESTUNG: The Finite Element Simulation Toolbox for UNstructured Grids (source code)
F Frank, B Reuter, V Aizinger
https://github. com/FESTUNG, 2015
Numerical studies of models for electrokinetic flow and charged solute transport in periodic porous media
F Frank
An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media
C Liu, F Frank, C Thiele, FO Alpak, S Berg, W Chapman, B Riviere
Journal of Computational Physics 400, 108948, 2020
Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation
C Liu, F Frank, BM Rivière
Numerical Methods for Partial Differential Equations 35 (4), 1509-1537, 2019
HyPHM (source code)
F Frank
http://www1.am.uni-erlangen.de/HyPHM, 2014
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