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A Thermodynamically-Consistent Phase Field Crystal Model of Solidification with Heat Flux - MaRDI portal

A Thermodynamically-Consistent Phase Field Crystal Model of Solidification with Heat Flux (Q5882285)

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scientific article; zbMATH DE number 7663587

Language	Label	Description	Also known as
English	A Thermodynamically-Consistent Phase Field Crystal Model of Solidification with Heat Flux	scientific article; zbMATH DE number 7663587

Statements

scholarly article

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A Thermodynamically-Consistent Phase Field Crystal Model of Solidification with Heat Flux (English)

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Journal of Mathematical Study

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publication date

15 March 2023

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full work available at URL

https://arxiv.org/abs/2107.05555

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zbMATH Keywords

phase field crystal

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classical density functional theory

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entropy production

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heat transfer

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solidification

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melting

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

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Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

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Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

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A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy

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A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

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Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

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Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models

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A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

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A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions

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Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows

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Thermodynamically-consistent phase-field models for solidification

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

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An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.4208/JMS.V55N4.22.01

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Sitelinks

Mathematics(1 entry)

mardi Publication:5882285

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