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Modelling of rotating vertical axis turbines using a multiphase finite element method
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).ORCID iD: 0000-0002-3213-0040
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).
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2017 (English)In: MARINE 2017: Computational Methods in Marine Engineering VII15 - 17 May 2017, Nantes, France, 2017, p. 950-960Conference paper, Published paper (Other academic)
Place, publisher, year, edition, pages
2017. p. 950-960
National Category
Other Engineering and Technologies
Identifiers
URN: urn:nbn:se:kth:diva-208304ISBN: 978-84-946909-8-3 (electronic)OAI: oai:DiVA.org:kth-208304DiVA, id: diva2:1105292
Conference
Marine 2017, Computational Methods in Marine Engineering VII 15 - 17 May 2017, Nantes, France
Note

QC 20170629

Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2018-04-11Bibliographically approved
In thesis
1. High-Performance Finite Element Methods: with Application to Simulation of Diffusion MRI and Vertical Axis Wind Turbine
Open this publication in new window or tab >>High-Performance Finite Element Methods: with Application to Simulation of Diffusion MRI and Vertical Axis Wind Turbine
2018 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The finite element methods (FEM) have been developed over decades, and together with the growth of computer engineering, they become more and more important in solving large-scale problems in science and industry. The objective of this thesis is to develop high-performance finite element methods (HP-FEM), with two main applications in mind: computational diffusion magnetic resonance imaging (MRI), and simulation of the turbulent flow past a vertical axis wind turbine (VAWT). In the first application, we develop an efficient high-performance finite element framework HP-PUFEM based on a partition of unity finite element method to solve the Bloch-Torrey equation in heterogeneous domains. The proposed framework overcomes the difficulties that the standard approaches have when imposing the microscopic heterogeneity of the biological tissues. We also propose artificial jump conditions at the external boundaries to approximate the pseudo-periodic boundary conditions which allows for the water exchange at the external boundaries for non-periodic meshes. The framework is of a high level simplicity and efficiency that well facilitates parallelization. It can be straightforwardly implemented in different FEM software packages and it is implemented in FEniCS for moderate-scale simulations and in FEniCS-HPC for the large-scale simulations. The framework is validated against reference solutions, and implementation shows a strong parallel scalability. Since such a high-performance simulation framework is still missing in the field, it can become a powerful tool to uncover diffusion in complex biological tissues. In the second application, we develop an ALE-DFS method which combines advanced techniques developed in recent years to simulate turbulence. We apply a General Galerkin (G2) method which is continuous piecewise linear in both time and space, to solve the Navier-Stokes equations for a rotating turbine in an Arbitrary Lagrangian-Eulerian (ALE) framework. This method is enhanced with dual-based a posterior error control and automated mesh adaptation. Turbulent boundary layers are modeled by a slip boundary condition to avoid a full resolution which is impossible even with the most powerful computers available today. The method is validated against experimental data of parked turbines with good agreements. The thesis presents contributions in the form of both numerical methods for high-performance computing frameworks and efficient, tested software, published open source as part of the FEniCS-HPC platform.

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2018. p. 34
Series
TRITA-EECS-AVL ; 2018:3
Keyword
High performance finite element method, computational diffusion MRI, turbulent flow, vertical axis wind turbine.
National Category
Computer and Information Sciences Mathematics
Research subject
Computer Science
Identifiers
urn:nbn:se:kth:diva-225952 (URN)978-91-7729-708-6 (ISBN)
Presentation
2018-05-08, Q33, Osquldas väg 6B, Stockholm, 10:15 (English)
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Note

QC 20180411

Available from: 2018-04-11 Created: 2018-04-11 Last updated: 2018-04-11Bibliographically approved

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