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pro vyhledávání: '"Reuther, Sebastian"'
Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for their soluti
Externí odkaz:
http://arxiv.org/abs/2003.10264
The growing interest in active nematics and the emerging evidence of the relevance of topological defects in biology asks for reliable data analysis tools to identify, classify and track such defects in simulation and microscopy data. We here provide
Externí odkaz:
http://arxiv.org/abs/2002.02748
Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk free energies of the liquid crystal with geometric properties of the surface. We
Externí odkaz:
http://arxiv.org/abs/1911.11859
In the recent letter Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019) the authors investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal which is constrained to the surface of a torus. The underlying model combines an
Externí odkaz:
http://arxiv.org/abs/1909.01115
We consider the derivation and numerical solution of the flow of passive and active polar liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an evolving curved surface. The underlying passive model is a simplified
Externí odkaz:
http://arxiv.org/abs/1809.00457
Autor:
Reuther, Sebastian, Voigt, Axel
We consider a numerical approach for the incompressible surface Navier-Stokes equation on surfaces with arbitrary genus $g(\mathcal{S})$. The approach is based on a reformulation of the equation in Cartesian coordinates of the embedding $\mathbb{R}^3
Externí odkaz:
http://arxiv.org/abs/1709.02803
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2020 Sep 01. 476(2241), 1-23.
Externí odkaz:
https://www.jstor.org/stable/27097261
We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in space and a semi-implicit discretization in time. The discretization is d
Externí odkaz:
http://arxiv.org/abs/1611.04392
Autor:
Reuther, Sebastian
Mit Eintreten der internationalen Wirtschaftskrise im Jahr 2007 wurden schnell Stimmen laut, die eine Abtrennung der als gefährlich empfundenen peripheren Geschäftsbereiche der Banken, von ihrem klassischen Kerngeschäft forderten. In den USA, Gro