Galleries
Contributing to this gallery
If you are using dune successfully, please consider to contribute material to this gallery. If you want to do so, you should:- Provide one or more pictures with a specific topic
- Provide a short description of what is depicted
- If possible provide a reference (and DOI) to a paper where this is described in more detail
- Agree to publish your material under the Creative Commons Attribution-ShareAlike 4.0 International License
- Take care that you have the right to publish your material under this licence (e.g. ask your publisher for already published pictures)
![Blood flow](/img/blood_girke.png)
Blood flow through a narrowed carotid artery. Simulation of atherosklerosis. (Simulation by Stefan Wierling)
![Cahn-Larché](/img/cahnlarche-1.png)
![Cahn-Larché](/img/cahnlarche-2.png)
![Cahn-Larché](/img/cahnlarche-3.png)
![Cahn-Larché](/img/cahnlarche-4.png)
Solution snapshots of the Cahn-Larché equation on a locally refined UGGrid. C. Gräser, R. Kornhuber, and U. Sack. Numerical simulation of coarsening in binary solder alloys. Comp. Mater. Sci., 93:221–233, 2014 doi
![Electroencephalography Forward Problem](/img/duneuro_01.png)
![Electroencephalography Forward Problem](/img/duneuro_02.png)
![Electroencephalography Forward Problem](/img/duneuro_03.png)
A CutFEM discretization of the EEG forward problem (Nüßing 2018). Simulated with the DUNE based duneuro toolbox.
The geometry is obtained from an MRI scan of a healthy subject, the image is segmented and a level-set description is generated. To avoid problems with creating a geometry-conforming mesh, a CutFEM method is employed which directly uses the level-set information. Using the forward solution given by Dune, the origin of a measured potential distribution at the head surface is estimated. Visualized using Paraview and Blender.
![Heterogeneous hip model](/img/example-hip.png)
Heterogeneous hip model with multiple coupled 3d and 1d grids. ECMath project A-CH1 Reduced basis methods in orthopedic hip surgery planning (Simulation by Jonathan Youett)
![Large deformation contact](/img/example-large-deformation-torus.png)
Large deformation contact problem. J. Youett, O. Sander, R. Kornhuber. A globally convergent filter-trust-region method for large deformation contact problems. SIAM J. Sci. Comp., accepted 2018 (Simulation by Jonathan Youett)
![Noisy image recovery using phase field models](/img/leopardtodune.gif)
Binary image recovery using a phase field approximation on a dynamic grid. BDE.
![P1 Finite Element Examples](/img/alberta2d.jpg)
![P1 Finite Element Examples](/img/alberta3d.jpg)
![P1 Finite Element Examples](/img/alucube3d.jpg)
![P1 Finite Element Examples](/img/alusimplex3d.jpg)
![P1 Finite Element Examples](/img/iso.jpg)
![P1 Finite Element Examples](/img/ugcube2d.jpg)
![P1 Finite Element Examples](/img/ugcube3d.jpg)
![P1 Finite Element Examples](/img/ugsimplex2d.jpg)
![P1 Finite Element Examples](/img/ugsimplex3d.jpg)
![P1 Finite Element Examples](/img/yasp3d.jpg)
Results of the same finite element application running on different grids.
Details can be found in:
P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, O. Sander. A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part II: Implementation and Tests in DUNE. Computing 82(2-3):121-138, 2008, Preprint.
From left to right the images show:
- 2D simulation using Dune::Grid::Alberta
- 3D simulation using Dune::Grid::Alberta
- 3D simulation using Dune::Grid::ALU3dGrid with cubes
- 3D simulation using Dune::Grid::ALU3dGrid with simplices
- Isosurface of a 3D simulation
- 2D simulation using Dune::Grid::UGGrid with cubes
- 3D simulation using Dune::Grid::UGGrid with cubes
- 3D simulation using Dune::Grid::UGGrid with simplices
- 3D simulation using Dune::Grid::UGGrid with simplices
- 3D simulation using Dune::Grid::YaspGrid
![Parallel-adaptive higher order simulation of Forward Facing Step](/img/ffs3d_small.gif)
Parallel-adaptive simulation of the Euler equations of gas dynamics using a stabilized 3rd order discontinuous Galerkin solver. DK.
![Pore-scale simulation using Cut-Cells](/img/unfitted-dg-vector.png)
An unfitted dG cut-cell discretization of laminar flow at the pore-scale (Engwer 2009).
The geometry is obtained from a micro-CT scan. In order to avoid meshing problems we employed a cut-cell based finite element simulation using discontinuous trial functions. Solving the flow-field at the pore-scale yields an effective permeability at the macro-scale.
Level-set based cut-cell reconstructions as used in this simulation are now available in the dune-tpmc module.
![Root--Soil Interaction](/img/dumux-root.png)
Simulation of the water flow field in the soil and the root xylem of a growing white lupin system. For details see Koch et al 2018.
The geometry is obtained from a white lupin root system. The lighter the color the drier the soil. Arrow visualize the water flow field. Visualized using Paraview. The code used in the publication is available here.
![Soil Water Flow and Passive Solute Transport](/img/dorie-adaptive.png)
![Soil Water Flow and Passive Solute Transport](/img/dorie-solute.png)
DORiE simulation results for infiltration into a small-scale heterogeneous, hill-shaped domain (left), and for evaporation of contaminated water from a domain filled with a coarse and a fine-grained material (right) (Riedel et al. 2020).
![SPE10 benchmark](/img/dumux.png)
Simulation of a five-spot injection scenario with a strongly heterogeneous domain (SPE10 benchmark) using an IMPES formulation on an adaptively refined grid. For details see dumux.
![Creative Commons License](https://i.creativecommons.org/l/by-sa/4.0/80x15.png)