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M��nsteranian Torturials on Nonlinear Science: HETDRIV - steady drops on a heterogeneous substrate under lateral driving

Name: M��nsteranian Torturials on Nonlinear Science: HETDRIV - steady drops on a heterogeneous substrate under lateral driving
Creator: Thiele
Keywords: numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, heterogeneous substrate, sitting drops, depinning transition, wettability contrast, bifurcation diagram

descriptionPublicationkeyboard_double_arrow_right Report 26 Jan 2022 English Publisher:Zenodo

Authors: Thiele;

doi: 10.5281/zenodo.4546378 , 10.5281/zenodo.4546379

M��nsteranian Torturials on Nonlinear Science: HETDRIV - steady drops on a heterogeneous substrate under lateral driving

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Abstract

The tutorial HETDRIV 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 "M��nsteranian Torturials on Nonlinear Science". The tutorial explores steady drops on a substrate with spatially varying wettability under the additional influence of lateral driving. You will calculate these steady states as a function of the main control parameters domain size, heterogeneity contrast and driving strength. The employed code package is auto07p. It is recommended to consider this tutorial after the tutorial HETDROP.

The M��nsteranian 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 M��nster.

Keywords

numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, heterogeneous substrate, sitting drops, depinning transition, wettability contrast, bifurcation diagram

12 Research products, page 1 of 2

M��nsteranian Torturials on Nonlinear Science: HETDROP - steady drop and film states on a horizontal heterogeneous substrate
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M��nsteranian Torturials on Nonlinear Science: ACCH - steady states of Allen-Cahn and Cahn-Hilliard equations
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M��nsteranian Torturials on Nonlinear Science: DRIST - linear stability of sliding drops on an inclined homogeneous substrate
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M��nsteranian Torturials on Nonlinear Science: CCH - sliding clusters and travelling waves in the convective Cahn-Hilliard equation
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M��nsteranian Torturials on Nonlinear Science: LINDROP - linear stability of steady drops on a horizontal homogeneous substrate
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M��nsteranian Torturials on Nonlinear Science: Overview of the Available Tutorials
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M��nsteranian Torturials on Nonlinear Science: SH - steady states of the Swift-Hohenberg equation
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M��nsteranian Torturials on Nonlinear Science: CHBC - steady states of the Cahn-Hilliard equation with energy bias at the boundaries
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M��nsteranian Torturials on Nonlinear Science: SLIDROP - sliding drops on an inclined homogeneous substrate
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M��nsteranian Torturials on Nonlinear Science: ROTFFTW - steady and time-periodic states of drops on a rotating cylinder
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