Numerical study of crystal growth in reaction-diffusion systems using front tracking

DOI10.1007/978-3-030-62497-2_27zbMath1487.76102OpenAlexW3132879333MaRDI QIDQ2058950

Saurabh Joglekar, Xiao-Lin Li

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_27

zbMATH Keywords

Crank-Nicolson schemereaction-diffusion equationsolid-liquid phase transitioncrystal growthLagrangian front tracking

Mathematics Subject Classification ID

Diffusion (76R50) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Reaction effects in flows (76V05)

Uses Software

• FronTier

Cites Work

• Study of crystal growth and solute precipitation through front tracking method
• Numerical simulation of dendritic solidification with convection: Two-dimensional geometry
• Front tracking for gas dynamics
• A front-tracking method for viscous, incompressible multi-fluid flows
• The long-time behavior of initially separated \(\text{A+B}\to 0\) reaction-diffusion systems with arbitrary diffusion constants
• Reaction fronts in reversible \(A+B\rightleftharpoons C\) reaction-diffusion systems
• Numerical simulation of dendritic solidification with convection: three-dimensional flow.
• Front tracking in two and three dimensions
• A simple package for front tracking
• A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods
• Hybrid Simulations of Reaction-Diffusion Systems in Porous Media

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