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Phase field models

Phase field models in fluid dynamics

Phase field models in fluid dynamics

... H.Abels (Regensburg), H.Petzeltov´ a (Praha) E.Rocca (Milano), G.Schimperna (Pavia) Villa Clythia, Fr´ ejus, April 7th - 12th, 2013.. Eduard Feireisl Phase field models..[r] ...

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An energy stable time integrator for phase field models

An energy stable time integrator for phase field models

... of phase-field models with polynomial ...popular phase-field models available, such as the Allen–Cahn, Cahn–Hilliard, Swift–Hohenberg, and phase-field crystal equa- ...

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Bracket formalism applied to phase field models of alloy solidification

Bracket formalism applied to phase field models of alloy solidification

... the phase field method in alloy ...build phase field models in all generality whilst keep- ing the thermodynamics ...simplest models of alloy solidification and then extending to ...

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Numerical Investigation to the Effect of Initial Guess for Phase-Field Models

Numerical Investigation to the Effect of Initial Guess for Phase-Field Models

... Abstract. The construction of relevant initial conditions in the phase-field models for interfacial problems is discussed. If the model is supposed to have a local equilibrium at the interface, it ...

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Approximation of phase-field models with meshfree methods: exploring biomembrane dynamics

Approximation of phase-field models with meshfree methods: exploring biomembrane dynamics

... of phase-field models with meshfree methods: exploring biomembrane dynamics Christian Peco Regales Biomembranes are the fundamental separation structure in animal cells, and are also used in ...

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Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw Cell.

Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw Cell.

... ELNA. Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw ...recent phase field models, developed by Cueto-Felgueroso and Juanes, describe two-fluid flow in a ...

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An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids

An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids

... of phase field models for void growth and coarsening in irradiated solids has been performed to assess their sharp-interface ...B models, which include only point defect concentrations as ...

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A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations

A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations

... Recently, phase-field approaches have gained popularity as a versatile tool for simulat- ing fracture in a smeared ...of phase-field ...the field variables: displacements, phase ...

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Phase field models on evolving surfaces

Phase field models on evolving surfaces

... velocity field such that a phase transition is ...velocity field from this example, has no destabilising ...the phase field value, thus = 0 as a constant solution is still unstable ...

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Phase-field models for brittle and cohesive fracture

Phase-field models for brittle and cohesive fracture

... Using a sim- ple one-dimensional bar with a defet in the entre part, it was shown that the hoie of the degradation fun- tion may onsiderably inuene the results, as does the hoie of the l[r] ...

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Phase-field models for the approximation of the
          willmore functional and flow*,**

Phase-field models for the approximation of the willmore functional and flow*,**

... Phase-field approximations of the Willmore functional have raised quite a lot of interest in recent years, both from the theoretical and the numerical viewpoints. In particular, attention has been paid to ...

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Numerical Methods for Deterministic and Stochastic Phase Field Models of Phase Transition and Related Geometric Flows

Numerical Methods for Deterministic and Stochastic Phase Field Models of Phase Transition and Related Geometric Flows

... interface moves toward the ice sheet. Other applications of the moving interface problem include two-phase flow problems in fluid mechanics, the shock waves in gas dynamics, and the phase transition ...

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Solute trapping and the effects of anti-trapping currents on phase-field models of coupled thermo-solutal solidification

Solute trapping and the effects of anti-trapping currents on phase-field models of coupled thermo-solutal solidification

... the phase field model due to Ramirez & Beckermann [7, 10] , modified to include an implicit solution capability, to explore how the inclusion of an anti-trapping current within a model of coupled ...

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Computational phase field modeling

Computational phase field modeling

... picture. Phase-field models may also be understood in different ways and do not need to have a free- boundary problem ...of phase-field models in this context is that ...

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Review on Phase field Simulation on PVD

Review on Phase field Simulation on PVD

... Phase-field models contain a large number of phenomenological parameters, which have to be determined in order to obtain quantitative results for real ...a phase-field ...in ...

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Investigating nucleation using the phase-field method

Investigating nucleation using the phase-field method

... 3 Phase-Field Crystal Modeling of Nucleation The phase field models mentioned in the previous section can provide only a coarse grained view of the nuclei, and their role in determining ...

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Phase-field modeling of fracture in ferroelectric materials

Phase-field modeling of fracture in ferroelectric materials

... ceramics, phase- field models are particularly interesting since a single partial differential equation governing the phase-field accomplishes at once (1) the tracking of the interfaces ...

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Phase-field modeling of fracture in ferroelectric materials

Phase-field modeling of fracture in ferroelectric materials

... of phase-field models for the coupled simulation of the microstruc- ture formation and evolution, and the nucleation and propagation of cracks in single and polycrystalline fer- roelectric ...a ...

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A Combined Entropy/Phase-Field Approach to Gravity

A Combined Entropy/Phase-Field Approach to Gravity

... most phase-field models is the description of the evolution of the shape of an object in ...parameter field  (r, t) takes the value 1 whereever and whenever the object is ...

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Modeling materials with phase field crystal models

Modeling materials with phase field crystal models

... solid phase, when a liquid is cooled below its freezing point, is such a matter of course in everyday life that one seldom wonders what exactly happens during the process and ...

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