Discretization, solvers and research software

Main research subject

The modeling research questions at the LH2 lead to mathematical models in the form of coupled, time-dependent and nonlinear partial differential equations. For obtaining a model response, it is necessary to transfer these into computational models in form of simulation software. Apart from implementing the physically motivated constitutive laws, spatial and temporal discretization methods, as well as solvers for the emerging systems of nonlinear and linear equations, have to be developed and applied. The implementation as research software has to be carried out in a sustainable and reusable manner. To achieve this, the open-source porous-media simulator DuMux is developed at the LH2.

associated research projects

Title Description
EXC 2075: Coupled flow, transport, and geochemical processes in fractures/fissures with a focus on geothermal and karstic systems Duration: 10/2021 - 12/2024
Department: LH2
Leader: Rainer Helmig, Holger Class, Bernd Flemisch
Funding: DFG
EXC 2075, PN 1-6: Upscaling of two-phase porous media flow based on fluid morphology Duration: 01/2020 - 06/2023
Department: LH2
Leaders: Carina Bringedal, Bernd Flemisch
Funding: DFG
NFDI4Ing, Task Area Betty: Engineering Research Software Laufzeit: 10/2020 - 09/2025
Abteilung: LH2
Leitung: Bernd Flemisch
Finanzierung: DFG
SFB1313, INF: Research Data Management and Research Software Engineering Duration: 01/2022 - 12/2025
Departments: LH2 and VISUS
Leaders: Bernd Flemisch, Guido Reina, Martin Schneider
Funding: DFG
SFB 1313, D03: Development and realisation of validation benchmarks Duration: 01/2018 - 12/2025
Departments: LH2 and LS3
Leaders: Bernd Flemisch, Sergey Oladyshkin
Funding: DFG
EXC 2075, PN 5-2A(II): Fully-implicit local dynamic model adaptivity with machine-learned scale bridging Duration: 09/2023-12/2025
Department: LH2
Leader: Bernd Flemisch
Funding: DFG


This image shows Bernd Flemisch

Bernd Flemisch

apl. Prof. Dr. rer. nat.

Professor for "Simulation Technology"

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