Modelling and numerical simulation

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Project Description

There are several modelling and simulation projects available. Topics of the projects are 1. Modelling biogas fermentation, 2. Multiscale modelling of permeation through human skin, 3. HPC based simulation of signal processing in neurons, 4. Numerical methods for free surfaces, 5. Simulation of energy storage. The models we used are based on first principles from Physics, typically resulting in systems of PDE. They all are solved using the same software tool UG4, providing advanced numerical methods like parallel adaptive multigrid solvers.​
Program - Applied Mathematics and Computer Science
Division - Computer, Electrical and Mathematical Sciences and Engineering
Center Affiliation - Extreme Computing Research Center
Field of Study - ​Computational Science, Mathematics, Computer Science, Sciences, Engineering

About the
Researcher

Gabriel Wittum

Professor, Applied Mathematics and Computational Science

Gabriel Wittum
​​Professor Wittum’s research focuses on a general approach to modelling and simulation of
problems from empirical sciences, in particular using high performance
computing (HPC). Particular areas of focus include: the development of advanced
numerical methods for modelling and simulation, such as fast solvers like
parallel adaptive multi-grid methods, allowing for application to complex
realistic models; the development of corresponding simulation frameworks and
tools; and the efficient use of top-level supercomputers for that purpose. These
methods and tools are applied towards problem-solving in fields including
computational fluid dynamics, environmental research, energy research, finance,
neuroscience, pharmaceutical technology and beyond.

Desired Project Deliverables

​Setting up, discretising and models on the basis of first principles. We expect the students to have a solid knowledge in analysis, numerics and programming.​