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MPI-Based PFEM-2 Method Solver for Convection-Dominated CFD Problems

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Parallel Computational Technologies (PCT 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1618))

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Abstract

The description of the parallel solver of the Particle Finite Element Method, 2nd generation (PFEM-2), is given. Strategies for the parallelization of both mesh-related and particle-related substeps are outlined. The software implementation is based on the open-source FEM code deal.II. The parallel solution of incompressible Navier–Stokes equations with the excluded convective term is performed with the out-of-box tools of deal.II using additional libraries such as Trilinos and p4est. Several MPI-based subroutines are developed for particle transport processing, as well as for particle/mesh field projection operations. The presented PFEM-2 solver allows for simulating convection-dominated flows with a high CFL number on relatively coarse meshes. The submesh resolution of the velocity field is maintained by particles. The results of simulation and speed-up of computations for test problems using multi-core/multi-processor systems are shown.

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References

  1. Idelsohn, S., Nigro, N., Gimenez, J., Rossi, R., Marti, J.: A fast and accurate method to solve the incompressible Navier-Stokes equations. Eng. Comput. 30(2), 197–222 (2013). https://doi.org/10.1108/02644401311304854

  2. Becker, P.: An enhanced Particle Finite Element Method with special emphasis on landslides and debris flows. Ph.D. thesis, Universitat Politecnica de Catalunya (2015)

    Google Scholar 

  3. Idelsohn, S.R., Oñate, E., Del Pin, F.: The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Int. J. Numer. Methods Eng. 61, 964–989 (2004). https://doi.org/10.1002/nme.1096

  4. Nigro, N., Gimenez, J., Idelsohn, S.: Recent advances in the particle finite element method towards more complex fluid flow applications. Comput. Methods Appl. Sci. 33, 267–318 (2014). https://doi.org/10.1007/978-3-319-06136-8_12

  5. Dadvand, P., Rossi. R., Oñate, E.: An object-oriented environment for developing finite element codes for multi-disciplinary applications. Arch. Comput. Methods Eng. 17(3), 253–297 (2010). https://doi.org/10.1007/s11831-010-9045-2

  6. Ferziger, J.H., Perić, M.: Computational Methods for Fluid Dynamics. Springer, Cham (2002). https://doi.org/10.1007/978-3-642-56026-2

    Book  MATH  Google Scholar 

  7. Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method, vol. 3. Fluid Dynamics (2000)

    Google Scholar 

  8. Marchevsky, I.K., Osadchiev, A.A., Popov, A.Y.: Numerical modelling of high-frequency internal waves generated by river discharge in Coastal Ocean. In: Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management – GISTAM 2019, pp. 384–387 (2019). https://doi.org/10.5220/0007840203840387

  9. Popov, A., Marchevsky, I., Serbin, G.: Validation of a newly developed implementation of the PFEM-2 method using an open-source framework. In: Proceedings Ivannikov Ispras Open Conference (ISPRAS), pp. 176–181. IEEE (2021). https://doi.org/10.1109/ISPRAS53967.2021.00031

  10. The deal.II Finite Element Library. https://dealii.org

  11. Trilinos Home Page. https://trilinos.github.io/

  12. Srinath, D.N., Mittal, S.: Optimal aerodynamic design of airfoils in unsteady viscous flows. Comput. Methods Appl. Mech. Eng. 199, 1976–1991 (2010). https://doi.org/10.1016/j.cma.2010.02.016

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Acknowledgement

Work of Ilia Marchevsky is supported by the Russian Science Foundation (proj. 17-79-20445).

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russian Federation

    Andrey Popov & Ilia Marchevsky

  2. Ivannikov Institute for System Programming of the RAS, Moscow, Russian Federation

    Ilia Marchevsky

Authors
  1. Andrey Popov
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  2. Ilia Marchevsky
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Corresponding author

Correspondence to Andrey Popov .

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Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Leonid Sokolinsky

  2. South Ural State University, Chelyabinsk, Russia

    Mikhail Zymbler

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Popov, A., Marchevsky, I. (2022). MPI-Based PFEM-2 Method Solver for Convection-Dominated CFD Problems. In: Sokolinsky, L., Zymbler, M. (eds) Parallel Computational Technologies. PCT 2022. Communications in Computer and Information Science, vol 1618. Springer, Cham. https://doi.org/10.1007/978-3-031-11623-0_18

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  • DOI: https://doi.org/10.1007/978-3-031-11623-0_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-11622-3

  • Online ISBN: 978-3-031-11623-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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