Published February 17, 2021 | Version 3
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Münsteranian Torturials on Nonlinear Science: LINDROP - linear stability of steady drops on a horizontal homogeneous substrate

Creators

  • 1. Uwe

Description

The tutorial LINDROP is one of a series of tutorials on the practical application of numerical path-continuation methods for problems in soft matter and pattern formation. It is part of the "Münsteranian Torturials on Nonlinear Science". The tutorial calculates the same 1d steady states as the tutorial SITDROP, and additionally determines their linear stability (in 1d and 2d) with respect to time-dependent perturbations. You will calculate the dispersion relation (growth rate over transversal wave number of the Plateau-Rayleigh instability of liquid ridges). Steady states and their stability are continued in various parameters. The employed code package is auto07p. It is recommended to consider this tutorial after the tutorial SITDROP.

Notes

The Münsteranian Torturials on Nonlinear Science are edited by U. Thiele, O. Kamps and S. V. Gurevich and hosted by the Center for Nonlinear Science (CeNoS) of WWU Münster.

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