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High performance adaptive finite element methods for turbulent fluid flow
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0002-5020-1631
2011 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Understanding the mechanics of turbulent fluid flow is of key importance for industry and society as for example in aerodynamics and aero-acoustics. The massive computational cost for resolving all turbulent scales in a realistic problem makes direct numerical simulation of the underlying Navier-Stokes equations impossible. Recent advances in adaptive finite element methods offer a new powerful tool in Computational Fluid Dynamics (CFD). The computational cost for simulating turbulent flow can be minimized where the mesh is adaptively resolved, based on a posteriori error control. These adaptive methods have been implemented for efficient serial computations, but the extension to an efficient parallel solver is a challenging task.

This work concerns the development of an adaptive finite element method for modern parallel computer architectures. We present efficient data structures and data decomposition methods for distributed unstructured tetrahedral meshes. Our work also concerns an efficient parallellization of local mesh refinement methods such as recursive longest edge bisection.

We also address the load balance problem with the development of an a priori predictive dynamic load balancing method. Current results are encouraging with almost linear strong scaling to thousands of cores on several modern architectures.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology , 2011. , xii, 29 p.
Series
Trita-CSC-A, ISSN 1653-5723 ; 2011:02
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-30277ISBN: 978-91-7415-878-6 (print)OAI: oai:DiVA.org:kth-30277DiVA: diva2:399309
Presentation
2011-03-14, E3, KTH, Osquarsbacke 14, Stockholm, 10:15 (English)
Opponent
Supervisors
Note
QC 20110223Available from: 2011-02-23 Created: 2011-02-21 Last updated: 2011-02-23Bibliographically approved
List of papers
1. Framework For Massively Parallel Adaptive Finite Element Computational Fluid Dynamics On Tetrahedral Meshes
Open this publication in new window or tab >>Framework For Massively Parallel Adaptive Finite Element Computational Fluid Dynamics On Tetrahedral Meshes
2012 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 34, no 1, C24-C42 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we describe a general adaptive finite element framework for unstructured tetrahedral meshes without hanging nodes suitable for large scale parallel computations. Our framework is designed to scale linearly to several thousands of processors, using fully distributed and efficient algorithms. The key components of our implementation, local mesh refinement and load balancing algorithms, are described in detail. Finally, we present a theoretical and experimental performance study of our framework, used in a large scale computational fluid dynamics computation, and we compare scaling and complexity of different algorithms on different massively parallel architectures.

Keyword
adaptive methods, load balancing, unstructured local mesh refinement
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-30284 (URN)10.1137/100800683 (DOI)000300937500028 ()2-s2.0-84861384674 (Scopus ID)
Funder
Swedish e‐Science Research Center
Note

QC 20120326

Available from: 2011-02-21 Created: 2011-02-21 Last updated: 2017-12-11Bibliographically approved
2. Adaptive Computation of Aeroacoustic Sources for Rudimentary Landing Gear
Open this publication in new window or tab >>Adaptive Computation of Aeroacoustic Sources for Rudimentary Landing Gear
2010 (English)In: Benchmark problems for Airframe Noise Computations I, Stockholm 2010, 2010Conference paper, Published paper (Other academic)
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-30282 (URN)
Note
QC 20110224Available from: 2011-02-21 Created: 2011-02-21 Last updated: 2011-02-24Bibliographically approved
3. A computational study of turbulent flow separation for a circular cylinder using skin friction boundary conditions
Open this publication in new window or tab >>A computational study of turbulent flow separation for a circular cylinder using skin friction boundary conditions
2011 (English)In: Quality And Reliability Of Large-Eddy Simulations II, Springer Netherlands, 2011, Vol. 16, no 1, 57-68 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we present a computational study of turbulent flow separation for a circular cylinder at high Reynolds numbers. We use a stabilized finite element method together with skin friction boundary conditions, where we study flow separation with respect to the decrease of a friction parameter. In particular, we consider the case of zero friction corresponding to pure slip boundary conditions, for which we observe an inviscid separation mechanism of large scale streamwise vortices, identified in our earlier work. We compare our computational results to experiments for very high Reynolds numbers. In particular, we connect the pattern of streamwise vorticity in our computations to experimental findings of spanwise 3d cell structures reported in the literature.

Place, publisher, year, edition, pages
Springer Netherlands, 2011
Series
ERCOFTAC Series, ISSN 1382-4309 ; 16
Keyword
turbulent boundary layer, flow separation, General Galerkin method, a posteriori error estimation, adaptive finite element method, skin firction boundary conditions
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-30280 (URN)10.1007/978-94-007-0231-8_5 (DOI)000306194400005 ()2-s2.0-84964887723 (Scopus ID)978-94-007-0230-1 (ISBN)
Conference
2nd Workshop on Quality and Reliability of Large-Eddy Simulations, Univ Pisa, Pisa, Italy,Sep 09-11, 2009
Note

QC 20110224

Available from: 2011-02-21 Created: 2011-02-21 Last updated: 2013-12-13Bibliographically approved

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Jansson, Niclas

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