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A Nonlinear Subgrid Stabilization Parameter-Free Method to Solve Incompressible Navier-Stokes Equations at High Reynolds Numbers

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Computational Science and Its Applications – ICCSA 2019 (ICCSA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11621))

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Abstract

In this work we evaluate a Nonlinear Subgrid Stabilization parameter-free method to solve time-independent incompressible Navier-Stokes equations (NSGS-NS) at high Reynolds numbers, considering only the decomposition of the velocity field (not pressure) into coarse/resolved scales and fine/unresolved scales. In this formulation we use a dynamic damping factor which it is often essential for the nonlinear iterative process and for the reduction of the number of iterations. In order to reduce the computational costs typical of two-scale methods, the unresolved scale space is defined using bubble functions whose degrees of freedom are locally eliminated in favor of the degrees of freedom that live on the resolved scales. Accuracy comparisons with the streamline-upwind/Petrov-Galerkin (SUPG) formulation combined with the pressure stabilizing/Petrov-Galerkin (PSPG) are conducted based on 2D steady state benchmark problems with high Reynolds numbers, flow over a backward-facing step and lid-driven square cavity flow.

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Authors and Affiliations

  1. High Performance Computing Lab, Federal University of Espírito Santo, Vitória, ES, Brazil

    Riedson Baptista, Isaac P. Santos, Andrea M. P. Valli & Lucia Catabriga

  2. Department of Applied Mathematics, Federal University of Espírito Santo, São Mateus, ES, Brazil

    Riedson Baptista, Sérgio S. Bento & Isaac P. Santos

  3. Department of Mechanical Engineering, Federal Institute of Espírito Santo, Aracruz, ES, Brazil

    Leonardo M. Lima

Authors
  1. Riedson Baptista
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  2. Sérgio S. Bento
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  3. Leonardo M. Lima
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  4. Isaac P. Santos
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  5. Andrea M. P. Valli
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  6. Lucia Catabriga
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Corresponding authors

Correspondence to Riedson Baptista , Sérgio S. Bento or Isaac P. Santos .

Editor information

Editors and Affiliations

  1. Covenant University, Ota, Nigeria

    Sanjay Misra

  2. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  3. University of Basilicata, Potenza, Italy

    Beniamino Murgante

  4. Saint Petersburg State University, Saint Petersburg, Russia

    Elena Stankova

  5. Saint Petersburg State University, Saint Petersburg, Russia

    Vladimir Korkhov

  6. Polytechnic University of Bari, Bari, Italy

    Carmelo Torre

  7. University of Minho, Braga, Portugal

    Ana Maria A.C. Rocha

  8. Monash University, Clayton, VIC, Australia

    David Taniar

  9. Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  10. Polytechnic University of Bari, Bari, Italy

    Eufemia Tarantino

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Baptista, R., Bento, S.S., Lima, L.M., Santos, I.P., Valli, A.M.P., Catabriga, L. (2019). A Nonlinear Subgrid Stabilization Parameter-Free Method to Solve Incompressible Navier-Stokes Equations at High Reynolds Numbers. In: Misra, S., et al. Computational Science and Its Applications – ICCSA 2019. ICCSA 2019. Lecture Notes in Computer Science(), vol 11621. Springer, Cham. https://doi.org/10.1007/978-3-030-24302-9_11

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  • DOI: https://doi.org/10.1007/978-3-030-24302-9_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-24301-2

  • Online ISBN: 978-3-030-24302-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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