Code
This package allows the user to efficiently solve complex problems in phoretic mobility, such as the motion of multiple Janus particles in a non-trivial domain. The code uses the regularised boundary element approach described in Montenegro-Johnson et al "A regularised singularity approach to phoretic problems".
The method of regularized stokeslets is extensively used in biological fluid dynamics due to its conceptual simplicity and meshlessness. This simplicity carries a degree of cost in computational expense and accuracy because the number of degrees of freedom used to discretise the unknown surface traction is generally significantly higher than that required by boundary element methods. We describe a meshless method based on nearest-neighbour interpolation that significantly reduces the number of degrees of freedom required to discretise the unknown traction, increasing the range of problems that can practically solved, without excessively complicating the task of the modeller.