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Numerical Methods

The research in numerical methods combines fundamental research in mathematics and computer science, with applied research in interdisciplinary projects across different research environments, with industry and society. Particular focus is on partial differential equations (PDE), adaptive finite element methods (AFEM), and high performance computing (HPC). Modelling and simulation based on PDE/AFEM/HPC are used e.g. for virtual prototyping of renewable energy technology, forecasting of air pollution for sustainable urban planning, and new tools for diagnosis and treatment in clinical medicine.


FEniCS  was started in 2003 as an umbrella for open-source software components with the goal of automated solution of Partial Differential Equations based on the mathematical structure of the Finite Element Method (FEM). FEniCS-HPC is the collection of FEniCS components around DOLFIN-HPC, a branch of DOLFIN with the focus of strong parallel scalability and portability on supercomputers, and Unicorn, the Unified Continuum solver for continuum modeling based on the Direct FEM Simulation (DFS) methodology, with breakthrough applications in parameter-free adaptive prediction of turbulent flow and fluid-structure interaction. The FEniCS-HPC  components are developed in our Bitbucket Git repositories .

MSO4SC (2016-2018)
The challenges of society show rising complexity and their solution process increasingly requires a holistic approach. It is necessary to provide decision makers with tools that allow long-term risk analysis, improvements or even optimization and control. One of the key technologies in this process is the use of mathematical Modelling, Simulation and Optimisation (MSO) methods. The major objective of the MSO4SC  project is to construct an e-infrastructure that provides tailored access to an integrated MSO application catalogue containing models, software, validation and benchmark and the MSOcloud: a user friendly cloud infrastructure for selected MSO applications and developing frameworks from the catalogue.

Detailed CFD Studies of Vertical Axis Current Turbines (2015-2018)
In this project, an advanced CFD  model will be used to simulate several different turbine configurations and in detail analyze the force data. This will give extended knowledge about the blade forces, and it will also be used to create an uncertainty estimation of the errors of the simplified models, and to calibrate the simplified models for improved accuracy.

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Belongs to: Computational Science and Technology
Last changed: Apr 30, 2021