A scalable O(N) computational framework for spheres in Stokes and Laplace fields

ORAL

Abstract

The balance of flexibility, accuracy, and efficiency is one long-standing topic in the design and implementation of computational tool. Based on recent advances in Boundary Integral Equation (BIE) theories, we developed a software framework which fits modern computers and inherits the flexibility of BIE. Further, this framework is spectrally accurate because spherical harmonics are used and special formulas are derived for close pairs. Due to such accuracy, lubrication effects can be directly resolved. This framework is also coupled to a new collision resolving algorithm formulated as a solution to a linear complementarity problem, to guarantee the stability of time stepping at large timestep sizes. We demonstrate the capability of this framework in sedimentation and other problems.

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Presenters

  • Wen Yan

    Center for Computational Biology, Flatiron Institute, Simons Foundation

Authors

  • Wen Yan

    Center for Computational Biology, Flatiron Institute, Simons Foundation

  • Dhairya Malhotra

    Courant Institute of Mathematical Sciences, New York Universy

  • Eduardo Corona

    Department of Mathematics, University of Michigan Ann Arbor

  • Shravan Veerapaneni

    Department of Mathematics, University of Michigan Ann Arbor

  • Michael J Shelley

    Center for Computational Biology, Flatiron Institute, Simons Foundation, New York 10010, Courant Institute, Simons Foundation, Center for Computational Biology, Flatiron Institute, Simons Foundation, Courant Institute of Mathematical Sciences, New York Universy, New York Univ NYU, Applied Mathematics Laboratory, Courant Institute, New York University, Flatiron Institute, Simons Foundation, New York Univ NYU & Flatiron Institute, New York Univ NYU, Flatiron Institute, New York University, Flatiron Institute , Courant Institute, NYU, Center for Computational Biology, Flatiron Institute, New York