[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

Wavelet-based adaptive multi-resolution solver on heterogeneous parallel architecture for computational fluid dynamics

  • Special Issue Paper
  • Published:
Computer Science - Research and Development

Abstract

For the efficient simulation of fluid flows governed by a wide range of scales a wavelet-based adaptive multi-resolution solver on heterogeneous parallel architectures is proposed for computational fluid dynamics. Both data- and task-based parallelisms are used for multi-core and multi-GPU architectures to optimize the efficiency of a high-order wavelet-based multi-resolution adaptative scheme with a 6th-order adaptive central-upwind weighted essentially non-oscillatory scheme for discretization of the governing equations. A modified grid-block data structure and a new boundary reconstruction method are introduced. A new approach for detecting small scales without using buffer levels is introduced to obtain additional speed-up by minimizing the number of required blocks. Validation simulations are performed for a double-Mach reflection with different refinement criteria. The simulations demonstrate accuracy and computational performance of the solver.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Berger MJ, Oliger J (1984) Adaptive mesh refinement for hyperbolic partial differential equations. J Comput Phys 53(3):484–512

    Article  MathSciNet  MATH  Google Scholar 

  2. Bihari BL, Harten A (1995) Application of generalized wavelets: an adaptive multiresolution scheme. J Comput Appl Math 61(3):275–321

    Article  MathSciNet  MATH  Google Scholar 

  3. Cohen A, Daubechies I, Feauveau JC (1992) Biorthogonal bases of compactly supported wavelets. Commun Pure Appl Math 45(5):485–560

    Article  MathSciNet  MATH  Google Scholar 

  4. Colella P, Woodward PR (1984) The piecewise parabolic method (PPM) for gas-dynamical simulations. J Comput Phys 54(1):174–201

    Article  MathSciNet  MATH  Google Scholar 

  5. Domingues MO, Gomes SM, Roussel O, Schneider K (2008) An adaptive multiresolution scheme with local time stepping for evolutionary PDEs. J Comput Phys 227(8):3758–3780

    Article  MathSciNet  MATH  Google Scholar 

  6. Gerolymos GA, Sénéchal D, Vallet I (2009) Very-high-order WENO schemes. J Comput Phys 228(23):8481–8524

    Article  MathSciNet  MATH  Google Scholar 

  7. Hejazialhosseini B, Rossinelli D, Bergdorf M, Koumoutsakos P (2010) High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions. J Comput Phys 229(22):8364–8383

    Article  MATH  Google Scholar 

  8. Hu XY, Wang Q, Adams NA (2010) An adaptive central-upwind weighted essentially non-oscillatory scheme. J Comput Phys 229(23):8952–8965

    Article  MathSciNet  MATH  Google Scholar 

  9. Jiang GS, Shu CW (1996) Efficient implementation of weighted ENO schemes. J Comput Phys 126:202–228

    Article  MathSciNet  MATH  Google Scholar 

  10. Pantano C, Deiterding R, Hill DJ, Pullin DI (2007) A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows. J Comput Phys 221(1):63–87

    Article  MathSciNet  MATH  Google Scholar 

  11. Schneider K, Vasilyev OV (2010) Wavelet methods in computational fluid dynamics. Annu Rev Fluid Mech 42:473–503

    Article  MathSciNet  Google Scholar 

  12. Shu CW, Osher S (1989) Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J Comput Phys 83(1):32–78

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, 85748, Garching, Germany

    L. H. Han, T. Indinger, X. Y. Hu & N. A. Adams

  2. FluiDyna GmbH, 85748, Garching, Germany

    T. Indinger

Authors
  1. L. H. Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Indinger
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. X. Y. Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. A. Adams
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to X. Y. Hu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Han, L.H., Indinger, T., Hu, X.Y. et al. Wavelet-based adaptive multi-resolution solver on heterogeneous parallel architecture for computational fluid dynamics. Comput Sci Res Dev 26, 197–203 (2011). https://doi.org/10.1007/s00450-011-0167-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00450-011-0167-z

Keywords

Search

Navigation