Results 51 to 60 of about 21,022,616 (100)
A 3D lattice Boltzmann – phase-field model of three-phase contact line dynamics on curved boundaries
Applied and Computational MechanicsIn this paper, we present a three-dimensional multiphase fluid lattice Boltzmann model based on the phase-field theory. The conservative Allen-Cahn equation was used to describe the interface dynamics between two different fluids.
Benioug M.
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A hysteresis approach to phase-field models
, 2000 Phase-field systems as mathematical models to forecast the evolution of processes involving phase transitions have drawn a considerable interest in recent years.
P. Krejčı́ +3 more
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A Flux-Corrected Phase-Field Method for Surface Diffusion
, 2017 Phase-field methods with a degenerate mobility have been widely used to simulate surface diffusion motion. However, apart from the motion induced by surface diffusion, adverse effects such as shrinkage, coarsening and false merging have been observed in ...
Wenjing Ye +3 more
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Applied SciencesSeismic loading may increase confining pressure, which can degrade the soil shear modulus, alter the stress-field distribution within slopes, and thereby affect slope stability.
Hong-Yu Wu +3 more
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The Phase-Field Method in Optimal Design
, 2006 We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the
Bourdin, Blaise +3 more
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The phase field method—From fundamentals to practical applications in crystal growth
, 2023 International audienceIn this paper, the phase-field method is described and used to model ice crystal growth that is studied in Chemical Engineering in the freezing or freeze-drying process.
Cogné, Claudia +7 more
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Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification [PDF]
, 2007 Existence of weak solutions to a phase field model for solidification of alloys is studied. The model consists of balance equations for the energy and the concentrations of the alloy components which are coupled to a system of Allen-Cahn equations ...
Stinner, Björn
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Constraints and penalties for phase-field flows in \(\mathbb{R}^2\) and \(\mathbb{R}^N\)
, 2019 We present two gradient flow evolutions, both obtained with alternate schemes for separately-quadratic phase-field energies. The first, in the plane strain setting, features a monotonicity constraint (in time) and a multi-step scheme, for better ...
Negri, Matteo
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Phase-field modeling for axonal extension of nerve cells
Mechanical Engineering Journal, 2015 In this study, we applied a modified Kobayashi-Warren-Carter (KWC) phase-field model to the neurite growth process. To confirm the applicability of this model, we observed axonal extension of PC-12D cells cultured with nerve growth factor (NGF). Based on
Tomohiro TAKAKI +3 more
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Study of imbibition in various geometries using phase field method [PDF]
, 2019 Phase field method has been widely utilized to study multiphase flow problems, but has seldom been applied to the study of imbibition. Previous methods used to simulate imbibition, such as moving mesh method, need to specify capillary pressure as a ...
Luo, Youming +6 more
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