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Direct Finite Element Simulation of the Turbulent Flow Past a Vertical Axis Wind Turbine
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).ORCID iD: 0000-0002-1695-8809
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
Uppsala University, Uppsala, Sweden. (Ångström Laboratory)
(English)Manuscript (preprint) (Other academic)
Abstract [en]

There is today a significant interest in harvesting renewable energy, specifically wind energy, in offshore and urban environments. Vertical axis wind turbines get increasing attention since they are able to capture the wind from any direction. They are relatively easy to install and to transport, cheaper to build and maintain, and quite safe for humans and birds. Detailed computer simulations of the fluid dynamics of wind turbines provide an enhanced understanding of the technology and may guide design improvements. In this paper, we simulate the turbulent flow past a vertical axis wind turbine for a range of rotation angles in parked and rotating conditions. We propose the method of Direct Finite Element Simulation in a rotating ALE framework, abbreviated as DFS-ALE. The simulation results are validated against experimental data in the form of force measurements. We find that the simulation results are stable with respect to mesh refinement and that we capture well the general shape of the variation of force measurements over the rotation angles.

Keywords [en]
VAWT, Direct FEM simulation, ALE
National Category
Natural Sciences
Research subject
Computer Science; Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-224801OAI: oai:DiVA.org:kth-224801DiVA, id: diva2:1193114
Note

QC 20180326

Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-09-19Bibliographically approved
In thesis
1. High-Performance Finite Element Methods: with Application to Simulation of Diffusion MRI and Vertical Axis Wind Turbines
Open this publication in new window or tab >>High-Performance Finite Element Methods: with Application to Simulation of Diffusion MRI and Vertical Axis Wind Turbines
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
Keywords
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)
Opponent
Supervisors
Note

QC 20180411

Available from: 2018-04-11 Created: 2018-04-11 Last updated: 2018-05-02Bibliographically approved

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Other links

http://www.csc.kth.se/~vdnguyen/preprints/NumValidationParkedTurbine_RE.pdf

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Jansson, JohanHoffman, Johan

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