PyStokes API

PyStokes is a numerical library for Phoresis and Stokesian hydrodynamics in Python. It uses a grid-free method, combining the integral representation of Stokes and Laplace equations, spectral expansion, and Galerkin discretization, to compute phoretic and hydrodynamic interactions between spheres with slip boundary conditions on their surfaces. The library also computes suspension scale quantities, such as rheological response, energy dissipation and fluid flow. The computational cost is quadratic in the number of particles and upto 1e5 particles have been accommodated on multicore computers. The library has been used to model suspensions of microorganisms, synthetic autophoretic particles and self-propelling droplets.

Please see installation instructions and more details in the README.md on GitHub.

API Reference

• Stokes flow in an unbounded domain
• Stokes flow near interfaces
• Stokes flow bounded by a wall
• Stokes flow in a Hele-Shaw cell
• Stokes flow in a periodic domain
• Phoresis in an unbounded domain
• Phoresis in a space bounded by a wall
• Force fields in colloidal systems
• Utils: Miscellaneous function