Here you can find all materials that would not fit anywhere else, but I find them somewhat valuable.

LaTeX tips and tricks

Gnuplot tips and tricks


Sedimentation of point particles in Stokes flow
Simulation written for Computer Simulations in Soft Matter Physics course with Piotr Szymczak. The three-body problem of sedimenting particles is investigated numerically, involving reversible and non-reversible algorithms. Three point particles sedimenting in viscous liquid exhibit interesting behaviour stemming from hydrodynamic interactions between them. The flow field is modelled by the Oseen tensor approximation. A certain class of initial conditions (horizontal alignment) is investigated to analyse chaotic mixing behaviour in the first phase of particles' motion. [available on request]

Four approaches to hydrodynamic Green's functions - the Oseen tensors
Prepared for Microworld Hydrodynamics course with Maria Ekiel - Jeżewska.
Four ways of deriving the flow field generated by a force concentrated in one point in low Reynolsd number flow regime are presented, basing on the books by Zapryanov & Tabakova, Kim & Karilla, Dhont and Pozrikidis. We find a fundamental solution of Stokes equations for infinite fluid which can be used to construct solutions with more complex forces. [pdf], also available at ArXiV: preprint no. 1312.6231

Stokes flow generated by a point force in various geometries. I. Pressure field
Materials made for Microhydrodynamics course with Maria Ekiel - Jeżewska.
Fundamental pressure solutions of Stokes equations in presence of a free boudary or rigid wall are constructed using the method of images. The subsequent steps of the construction are presented. [pdf]

Fresnel and Fraunhofer Diffraction - a lecture experiment
Patterns presenting a dynamic transition between Fresnel and Fraunhofer diffraction patterns using a moving diverging lens. See the photographs and the preprint of our paper here:
Fresnel and Fraunhofer diffraction patterns