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A diffuse-interface method for two-phase flows with soluble surfactants
TLDR
A method is presented to solve two-phase problems involving soluble surfactants using a non-linear multigrid method based on the use of a diffuse interface, which allows a simple implementation using standard finite difference or finite element techniques. Expand
SOLVING PDES IN COMPLEX GEOMETRIES: A DIFFUSE DOMAIN APPROACH.
TLDR
A general approach for solving partial differential equations in complex, stationary, or moving geometries with Dirichlet, Neumann, and Robin boundary conditions with matched asymptotic expansions is presented. Expand
A new phase-field model for strongly anisotropic systems
We present a new phase-field model for strongly anisotropic crystal and epitaxial growth using regularized, anisotropic Cahn–Hilliard-type equations. Such problems arise during the growth andExpand
A NOMPC-Dependent Membrane-Microtubule Connector Is a Candidate for the Gating Spring in Fly Mechanoreceptors
TLDR
The results provide strong evidence that the ankyrin-repeat domains of NOMPC structurally contribute to the membrane-microtubule connecting filaments, which are good candidates for the gating springs in mechanoreceptors. Expand
Benchmark computations of diffuse interface models for two-dimensional bubble dynamics
SUMMARY Diffuse interface models for incompressible two-phaseflow with large density ratios are tested on benchmark configurations for a two-dimensional bubble rising in liquid columns. The benchmarkExpand
A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE.
A method is presented to solve two-phase problems involving a material quantity on an interface. The interface can be advected, stretched, and change topology, and material can be adsorbed to orExpand
Derivation of the phase-field-crystal model for colloidal solidification.
TLDR
For colloidal solidification with completely overdamped individual particle motion, it is shown that the phase-field-crystal dynamics can be derived from the microscopic Smoluchowski equation via dynamical density-functional theory. Expand
Surface evolution of elastically stressed films under deposition by a diffuse interface model
TLDR
This work considers the heteroepitaxial growth of thin films by numerical simulations within a diffuse interface model and shows the formal convergence of an anisotropic viscous Cahn-Hilliard model to a general surface evolution equation. Expand
AMDiS: adaptive multidimensional simulations
We describe how modular software design and well proven object oriented design patterns can help to implement a flexible software package for the efficient solution of partial differential equations.Expand
Nucleation and growth by a phase field crystal (PFC) model
We review the derivation of a phase field crystal (PFC) model from classical density functional theory (DFT). Through a gradient flow of the Helmholtz free energy functional and appropriateExpand
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