Zobrazeno 1 - 10
of 15 781
pro vyhledávání: '"DIFFUSE INTERFACE"'
We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is modeled by two Cahn--Hilliard--Oono equations for the copolymer blocks, acc
Externí odkaz:
http://arxiv.org/abs/2411.04074
Based on the two-phase macroscopic governing equations in the phase field model, the governing equations and analytical solutions for the steady-state layered Poiseuille flows in the diffuse interface (DI) model are derived and analyzed. Then, based
Externí odkaz:
http://arxiv.org/abs/2410.19891
A general approach for transforming phase field equations into generalized curvilinear coordinates is proposed in this work. The proposed transformation can be applied to isotropic, non-isotropic, and curvilinear grids without adding any ambiguity in
Externí odkaz:
http://arxiv.org/abs/2411.18770
We introduce a diffuse-interface Landau-de Gennes free energy for free-boundary nematic liquid crystals (NLC) in three dimensions submerged in isotropic liquid, where a phase field is introduced to model the deformable interface. The energy we propos
Externí odkaz:
http://arxiv.org/abs/2407.21437
We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressible Stokes equations. We propose a diffuse interface model in which a ph
Externí odkaz:
http://arxiv.org/abs/2407.05949
In this paper, we derive a thermodynamically consistent non-isothermal diffuse interface model for phase transition and interface evolution involving heat transfer. This model is constructed by integrating concepts from classical irreversible thermod
Externí odkaz:
http://arxiv.org/abs/2408.09749
We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and a singular (logarithmic) potential. The system describes a diffuse in
Externí odkaz:
http://arxiv.org/abs/2408.07449
Autor:
Magdalena Schreter-Fleischhacker, Peter Munch, Nils Much, Martin Kronbichler, Wolfgang A. Wall, Christoph Meier
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 11, Iss 1, Pp 1-48 (2024)
Abstract We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several ord
Externí odkaz:
https://doaj.org/article/00d69007bf0b4597b5d55b9dd530d597
Autor:
Morfe, Peter S., Wagner, Christian
We analyze Allen-Cahn functionals with stationary ergodic coefficients in the regime where the length scale $\delta$ of the heterogeneities is much smaller (microscopic) than the interface width $\epsilon$ (mesoscopic). In the main result, we prove t
Externí odkaz:
http://arxiv.org/abs/2408.14914
A Cahn-Hilliard-Navier-Stokes system for two-phase flow on an evolving surface with non-matched densities is derived using methods from rational thermodynamics. For a Cahn-Hilliard energy with a singular (logarithmic) potential short time well-posedn
Externí odkaz:
http://arxiv.org/abs/2407.14941