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Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5436
Abstract: We propose a simple model for a two‐phase flow with a diffuse interface. The model couples the compressible Navier‐Stokes system governing the evolution of the fluid density and the velocity field with the Allen‐Cahn equation…
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Keywords:
phase flow;
two phase;
model;
diffuse interface ... See more keywords
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Published in 2025 at "Computational Mechanics"
DOI: 10.1007/s00466-025-02610-8
Abstract: Increasing demand for porous materials necessitates continuous optimization and design of materials with further improved mechanical and functional properties. Advanced processing techniques like additive manufacturing offer promising perspectives to tailor the material properties on the…
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Keywords:
laser sintering;
porous materials;
interface based;
diffuse interface ... See more keywords
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Published in 2025 at "Meccanica"
DOI: 10.1007/s11012-025-01939-x
Abstract: Lipid bilayer membranes are fundamental biological barriers both at the cellular and sub-cellular level. They are both very stable and extremely deformable, characteristics that make membrane vesicles an efficient system for drug delivery applications. In…
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Keywords:
difference elasticity;
area difference;
lipid vesicles;
diffuse interface ... See more keywords
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1
Published in 2019 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-019-00577-1
Abstract: We present a model for cell growth, division and packing under soft constraints that arise from the deformability of the cells as well as of a membrane that encloses them. Our treatment falls within the…
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Keywords:
growth division;
cell;
evolution multi;
diffuse interface ... See more keywords
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Published in 2019 at "International Journal of Multiphase Flow"
DOI: 10.1016/j.ijmultiphaseflow.2019.01.015
Abstract: Abstract Accurate and robust simulations of transcritical real-fluid flows are crucial for many engineering applications. Diffuse-interface methods are frequently employed and several numerical schemes have been developed for simulating transcritical flows. These schemes can be…
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Keywords:
numerical behavior;
diffuse interface;
transcritical real;
interface methods ... See more keywords
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Published in 2019 at "International Journal of Plasticity"
DOI: 10.1016/j.ijplas.2018.10.012
Abstract: Abstract In diffuse-interface (phase field) models of polycrystalline solids, the grain boundaries naturally possess a narrow region of finite thickness. A Ginzburg-Landau type kinetic equation for plastic deformation of a solid is derived that combines…
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Keywords:
grain boundary;
crystal plasticity;
plasticity;
diffuse interface ... See more keywords
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Published in 2024 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2024.638
Abstract: Abstract Diffuse interface models are an important class of models used to describe multi-phase flows. In the case of incompressible viscous fluids there are a number of different diffuse interface models which have been known…
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Keywords:
diffuse interface;
interface models;
mixture theory;
phase flows ... See more keywords
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Published in 2019 at "Physics of Fluids"
DOI: 10.1063/1.5113922
Abstract: A thermodynamically consistent diffuse interface model is developed for two-phase flows with phase transition. Inside the liquid-vapor mixing layer, the Cahn-Hilliard equation governing the evolution of liquid/vapor species explicitly includes the phase transition between the…
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Keywords:
phase;
phase transition;
diffuse interface;
model ... See more keywords
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Published in 2020 at "Physics of Fluids"
DOI: 10.1063/5.0027152
Abstract: The dynamics of a thin layer of liquid, squeezed between a flat solid substrate and an infinitely-thick layer of saturated vapor, are examined. The liquid and vapor are two phases of the same fluid, governed…
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Keywords:
rho rho;
diffuse interface;
vapor;
interface model ... See more keywords
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Published in 2020 at "Drying Technology"
DOI: 10.1080/07373937.2019.1710711
Abstract: Abstract Vacuum freeze-drying (VFD) is a dehydration method based on the sublimation of the liquid phase contained in a certain product, previously frozen, at low pressure and temperature. Since it is a time and energy…
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Keywords:
freeze drying;
product;
diffuse interface;
model ... See more keywords
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Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.025104
Abstract: We elucidate the theoretical relationships among fundamental physical concepts that are involved in the diffuse interface modeling for an isothermal single-component liquid-vapor system, which cover both the equation of state (EOS) and the surface tension force.…
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Keywords:
density;
diffuse interface;
single component;
vapor system ... See more keywords