Accelerated Boundary Element Method for 3D Simulations of Bubble Cluster Dynamics in an Acoustic Field

Yulia A. Pityuk, Nail A. Gumerov, Olga A. Abramova, Ilnur A. Zarafutdinov, Iskander S. Akhatov

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    2 Citations (Scopus)

    Abstract

    In this study, we develop a numerical approach based on the fast multipole method (FMM) to accelerate the iterative solution of the boundary element method (BEM) for bubble dynamics in the presence of an acoustic field. The FMM for 3D Laplace equation is accelerated by applying heterogeneous hardware, including multi-core CPUs and graphics processors. Problems of mesh stabilization are resolved by using a shape filter based on the spherical harmonic expansions of the bubble surface. We discuss the accuracy and performance of the algorithm. We demonstrate that the approach enables the simulation of the dynamics of regular monodisperse bubble clusters with thousands of bubbles and millions of boundary elements on modern personal workstations. The algorithm is scalable and can be extended to larger systems.

    Original languageEnglish
    Title of host publicationParallel Computational Technologies - 13th International Conference, PCT 2019, Revised Selected Papers
    EditorsLeonid Sokolinsky, Mikhail Zymbler
    PublisherSpringer Verlag
    Pages335-349
    Number of pages15
    ISBN (Print)9783030281625
    DOIs
    Publication statusPublished - 2019
    Event13th International Scientific Conference on Parallel Computational Technologies, PCT 2019 - Kaliningrad, Russian Federation
    Duration: 2 Apr 20194 Apr 2019

    Publication series

    NameCommunications in Computer and Information Science
    Volume1063
    ISSN (Print)1865-0929
    ISSN (Electronic)1865-0937

    Conference

    Conference13th International Scientific Conference on Parallel Computational Technologies, PCT 2019
    Country/TerritoryRussian Federation
    CityKaliningrad
    Period2/04/194/04/19

    Keywords

    • Acoustic field
    • Boundary element method
    • Bubble cluster
    • Fast multipole method
    • Graphics processors
    • Heterogeneous hardware
    • Potential flow

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