Research description
Multiple scale problems appear in many real-life applications. For instance, in material science, biology and the environmental sciences, hierarchically organized structures are encountered with multiple scales ranging from micro to macro. Direct simulation of such processes is virtually impossible. Since macroscopic phenomena are often of primary interest, upscaling is a natural and necessary technique in developing effective algorithms. In the Applied Analysis group at Eindhoven University of Technology, problems of this nature are analyzed by means of homogenization techniques. The main field of interest is flow and transport in permeable media with applications to porous media and biological systems.

The expected outcome of this project is twofold. On the one hand, little investigation is being done for models involving microstructures with variable geometry. Moreover, existing microscopic models for the trabecular adaptation still need to be stated in a clear mathematical framework. After this step, the corresponding macroscopic models can be derived or justified by homogenization techniques. The second aspect followed in this research is numerical analysis and simulation. The investigations performed in this project should lead to discretization techniques and solvers that are appropriate for complex, multiple scale problems.

Associate partners

• CWI
• Technische Universiteit Eindhoven
• Philips Lighting Eindhoven
• KNMI
• ASML

MSV1.4 Researchers funded by BRICKS

• Prof.dr. U. Ebert (CWI)
• Dr. W. Hundsdorfer (CWI)
• Dr. J.J.A.M. van der Mullen (TU/e)
• Dr.ir. W. Brok (TU/e)
• Drs. C. Li (CWI)

For more information, please refer to the publications and posters of this project.