New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model

DOI10.1016/j.camwa.2022.01.017OpenAlexW3196876274MaRDI QIDQ2667975

Mejdi Aza ıïez, Ming-Hui Li, Chuanju Xu

Publication date: 2 March 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01253

zbMATH Keywords

unconditional stabilitytime-stepping schemesphase-fielddendritic crystal growth

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Statistical mechanics of crystals (82D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35)

Related Items (5)

A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems ⋮ Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations ⋮ Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential ⋮ An efficient numerical method for the anisotropic phase field dendritic crystal growth model ⋮ Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system

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