A spectral method for axisymmetric Stokes flow past a particle

Mohammad Nabil, Seyed Amin Nabavizadeh, Paul E. Lammert, Amir Nourhani

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We present a non-perturbative mesh-free spectral method for the axisymmetric scenario of a radially highly deformed sphere in Stokes flow. Spectra of harmonic and biharmonic Stokes flow modes are used to provide a general algebraic spectral solution to axisymmetric Stokes flow. A solution for the flow field around a sphere with prescribed surface velocity field is presented, and is used to obtain the velocity field around a deformed sphere. The method is demonstrated on two problems: hydrodynamic radii of radially deformed spheres for a range of strength and angular dependence of the deformation, with results in good agreement with the boundary element method; and self-phoretic velocity of spheroids with surface flux of the driving field in a source/sink or source/inert configuration.

Original languageEnglish (US)
Article numberR1
JournalJournal of Fluid Mechanics
StatePublished - Apr 10 2022

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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