Energy stable multigrid method for local and non-local hydrodynamic models for freezing

DOI10.1016/J.CMA.2015.10.011zbMath1423.80022arXiv1503.07416OpenAlexW1754872661MaRDI QIDQ2414571

Zhen Guan, Arvind Baskaran, John S. Lowengrub

Publication date: 17 May 2019

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07416

zbMATH Keywords

finite difference methodsenergy stabilitycompressible Navier-Stokesphase field crystalconvex splittingclassical density functional theory

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Crystals in solids (74N05)

Related Items (5)

Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation ⋮ A practical and efficient numerical method for the Cahn-Hilliard equation in complex domains ⋮ Energy-production-rate preserving numerical approximations to network generating partial differential equations ⋮ A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations ⋮ First- and second-order energy stable methods for the modified phase field crystal equation

Cites Work

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• Kinetic Monte Carlo simulation of strained heteroepitaxial growth with intermixing
• Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
• The Overdamped Limit of Dynamic Density Functional Theory: Rigorous Results
• An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
• An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
• Phase-Field Models for Multi-Component Fluid Flows

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