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 describtion on 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
Blood flow

Blood flow through a narrowed carotid artery. Simulation of atherosklerosis. (Simulation by Stefan Wierling)

Cahn-Larché
Cahn-LarchéCahn-LarchéCahn-LarchéCahn-Larché

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
Electroencephalography Forward ProblemElectroencephalography Forward ProblemElectroencephalography Forward Problem

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.

Heterogenous hip model
Heterogenous hip model

Heterogenous 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
Large deformation contact

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)

P1 Finite Element Examples
P1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element ExamplesP1 Finite Element Examples

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:

  1. 2D simulation using Dune::Grid::Alberta
  2. 3D simulation using Dune::Grid::Alberta
  3. 3D simulation using Dune::Grid::ALU3dGrid with cubes
  4. 3D simulation using Dune::Grid::ALU3dGrid with simplices
  5. Isosurface of a 3D simulation
  6. 2D simulation using Dune::Grid::UGGrid with cubes
  7. 3D simulation using Dune::Grid::UGGrid with cubes
  8. 3D simulation using Dune::Grid::UGGrid with simplices
  9. 3D simulation using Dune::Grid::UGGrid with simplices
  10. 3D simulation using Dune::Grid::YaspGrid
Pore-scale simulation using Cut-Cells
Pore-scale simulation using Cut-Cells

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.

SPE10 benchmark
SPE10 benchmark

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.

Solving Richards Equation
Solving Richards Equation

Narrow water flux entering a heterogeneous unsaturated medium. Simulated with the DUNE based richards solver DORiE.

The grid is adaptively refined (or coarsened) depending on the estimated error in numeric flux across a grid intersection. Visualized with Paraview.

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