Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
A Study of Hybrid Airfoil Design Method Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Parallel Dynamic Mode Decomposition for Rayleigh–Taylor Instability Flows

Authors : Weiwei Tan, Junqiang Bai, Zengdong Tian, Li Li

Published in: The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018)

Publisher: Springer Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Many fluid flows of engineering interest, though very complex in appearance, can be approximated by low-order models governed by a few modes, and Dynamic Mode Decomposition (DMD) has been proved effective in analyzing the coherent structures of complex flows. In this article, we present the formulation and design progress of a parallel dynamic mode decomposition program, especially the parallel I/O strategy, as a significant supplementation of parallel dynamic mode decomposition algorithm presented in others literatures. Parallel I/O performance with different data block size and processor number is demonstrated with a 6.9 GB file generated by 1001 snapshots of Rayleigh-Taylor instability flow. Analysis of flow structure and spatio-temporal coherent structure are performed by Fast Fourier Transformation (FFT) and dynamic mode decomposition for flow field resulted from high order weighted essentially non-oscillatory (WENO) schemes. For test case of Rayleigh-Taylor instability flow with Atwood number A = 0.5, we find a significant phenomenon that WENO9 with very fine grid (h = 1/1920) exhibits the characteristic of large unsymmetrical bubble-like plumes, but the others take the form of symmetric bubble-like plumes.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Detached Eddy Simulation on the Flow Around NACA0021 Airfoil Beyond Stall Using OpenFOAM
next chapter Design and Unsteady Numerical Simulation of Variable Geometry Inlet Using Dynamic Meshes
Literature
1.
Tu JH, Rowley CW, Luchtenburg DM et al (2014) On dynamic mode decomposition: theory and applications. J Comput Dyn 1(2):391–421MathSciNetCrossRef
2.
Noack BR, Afanasiev K, Morzynski M et al (2003) A hierarchy of low-dimensional modes for transient and post-transient cylinder wake. J Fluid Mech 497(1):335–363MathSciNetCrossRef
3.
Rowley CW (2005) Model reduction for fluids, using balanced proper orthogonal decomposition. Int J Bifurc Chaos 15(3):997–1013MathSciNetCrossRef
4.
Schmid PJ, Sesterhenn J (2008) Dynamic mode decomposition of numerical and experimental data. In: 61st annual meeting of the APS division of fluid dynamics. American Physical Society
5.
6.
Muld TW, Efraimsson G, Henningson DS (2012) Flow structures around a high-speed train extracted using proper orthogonal decomposition and dynamic mode decomposition. Comput Fluids 57:87–97MathSciNetCrossRef
7.
Duke D, Honnery D, Soria J (2012) Experimental investigation of nonlinear instabilities in annular liquid sheets. J Fluid Mech 691:594–604CrossRef
8.
Grilli M, Schmid PJ, Hickel S, Adams NA (2012) Analysis of unsteady behaviour in shockwave turbulent boundary layer interaction. J Fluid Mech 700:16–28CrossRef
9.
Massa L, Kumar R, Ravindran P (2012) Dynamic mode decomposition analysis of detonation waves. Phys Fluids 24(6):597–624CrossRef
10.
Seena A, Sung HJ (2011) Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations. Int J Heat Fluid Flow 32(6):1098–1110CrossRef
11.
Rowley CW, Mezic I, Bagheri S, Schlatter P, Henningson DS (2009) Spectral analysis of nonlinear flows. J Fluid Mech 641:115–127MathSciNetCrossRef
12.
Kou JQ, Zhang WW, Gao CQ (2016) Modal analysis of transonic buffet based on POD and DMD method. Acta Aeronautica et Astronautia Sinica 37(9):2679–2689 (in Chinese)
13.
Belson BA, Tu JH, Rowley CW (2014) A parallelized model reduction library. ACM Trans. Math. Softw 40(2)
14.
Duke D, Soria J, Honnery D (2012) An error analysis of the dynamic mode decomposition. Exp Fluids 52(2):529–542CrossRef
15.
Jovanovi MR, Schmid PJ, Nichols JW (2014) Sparsity-promoting dynamic mode decomposition. Phys Fluids 26(2):561–571
16.
Chen KK, Tu JH, Rowley CW (2012) Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. J. Nonlinear Sci. 22:887–915MathSciNetCrossRef
17.
Goulart PJ, Wynn A, Pearson D (2012) Optimal mode decomposition for high dimensional systems. In: Proceedings of the 51st IEEE conference on decision and control
18.
Wynn A, Pearson D, Ganapathisubramani B, Goulart PJ (2013) Optimal mode decomposition for unsteady flows. J Fluid Mech 733:473–503MathSciNetCrossRef
19.
Mezić I (2013) Analysis of fluid flows via spectral properties of the Koopman operator. Annu Rev Fluid Mech 45:357–378MathSciNetCrossRef
20.
Heroux M, Bartlett R, Hoekstra VHR et al (2003) An overview of trilinos. Technical report SAND2003-2927, Sandia National Laboratories
21.
22.
23.
24.
25.
Shi J, Zhang YT, Shu C-W (2003) Resolution of high order WENO schemes for complicated flow structures. J Comput Phys 186:690–696MathSciNetCrossRef
26.
27.
Balsara D, Shu C-W (2000) Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. J Comput Phys 160:405–452MathSciNetCrossRef
Metadata
Title
Parallel Dynamic Mode Decomposition for Rayleigh–Taylor Instability Flows
Authors
Weiwei Tan
Junqiang Bai
Zengdong Tian
Li Li
Copyright Year
2019
Publisher
Springer Singapore
Book
The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018)

Print ISBN: 978-981-13-3304-0

Electronic ISBN: 978-981-13-3305-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-981-13-3305-7_63

Premium Partner

    Image Credits