Direct approach to mean-curvature flow with topological changes

Title:

Direct approach to mean-curvature flow with topological changes

Creator:

Pauš, Petr and Beneš, Michal

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:63a31ce5-556f-4e73-8da3-a17a875a86e4
uuid:63a31ce5-556f-4e73-8da3-a17a875a86e4

Subject:

mean curvature flow, dislocation dynamics, and parametric approach

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves Γ(t):S→R2, t≧0. The curves are driven by the normal velocity v which is the function of curvature κ and the position. The evolution law reads as: v=−κ+F. The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved by tangential redistribution of curve points which allows long time computations and better accuracy. The results of dislocation dynamics simulation are presented (e. g., dislocations in channel or Frank-Read source). We also introduce an algorithm for treatment of topological changes in the evolving curve.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[591]-604

Source:

Kybernetika | 2009 Volume:45 | Number:4

Harvested from:

CDK

Metadata only:

false