Research in microhydrodynamics and control theory.

Dynamics Solvers

• field_lines.py computes the field lines for various stokes singularities
• old_stokes.py is an implementation of the stokeslet
• quaternions.py is a file written by my advisor which implements a number of quaternion functions
• stokes_ode.py implements a number of functions which make computing stokeslet solutions quicker
• StokesSingularities.py implements basic stokes singularity Greens' functions

Optimal Control

• direct_multiple_shooting.py implements the multiple direct shooting algorithm using CasADi
• direct_multiple_shooting_dae.py is an alternative implementation of direct multiple shooting
• gekko_solver.py and gekko_solver_2.py implement direct orthogonal collocation using GEKKO
• indirect_single_shooting.py is an attempt at the Pontryagin Minumum Principle as applied to this control problem

Symbolics

• mostly mathematica files, containing solvers and plotters for the perturbation problem and for the full problem