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[00904] Quadrature Methods and Error Estimates for Particles in Stokes Flow

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @E820
  • Type : Contributed Talk
  • Abstract : For axisymmetric particles in Stokes flow, boundary integral methods can be utilized for numerical evaluation of flow velocity on and outside particle surfaces. Precomputation yields a highly efficient and accurate quadrature by expansion $($QBX$)$ method for singular integrals when evaluating on-surface. For evaluation close to the particle surface $($nearly singular integrals$)$, a line interpolation method aided by quadrature error estimates is introduced and compared to QBX in terms of both accuracy and efficiency.
  • Classification : 65Rxx, 65Dxx, 41Axx, 76-XX
  • Format : Talk at Waseda University
  • Author(s) :
    • Pritpal Matharu (KTH Royal Institute of Technology)
    • Anna-Karin Tornberg (KTH Royal Institute of Technology)