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An Efficient Numerical Method for the Anisotropic Phase Field Dendritic Crystal Growth Model

https://doi.org/10.2139/ssrn.4621334
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inferredcites →https://doi.org/10.1002/nme.5372openalex-extracted
Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
inferredcites →https://doi.org/10.1002/nme.6697openalex-extracted
On a novel full decoupling, linear, second‐order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase‐field dendritic crystal growth model
inferredcites →https://doi.org/10.1007/978-1-4613-0549-1_9openalex-extracted
Fundamentals Of Dendritic Growth
inferredcites →https://doi.org/10.1007/978-1-4684-1854-5_5openalex-extracted
Principles of Solidification
inferredcites →https://doi.org/10.1007/bf00254827openalex-extracted
An analysis of a phase field model of a free boundary
inferredcites →https://doi.org/10.1016/0167-2789(93)90120-popenalex-extracted
Modeling and numerical simulations of dendritic crystal growth
inferredcites →https://doi.org/10.1016/0956-7151(94)00285-popenalex-extracted
Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method
inferredcites →https://doi.org/10.1016/j.aml.2019.03.029openalex-extracted
A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model
inferredcites →https://doi.org/10.1016/j.aml.2019.05.029openalex-extracted
A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models
inferredcites →https://doi.org/10.1016/j.apnum.2022.11.006openalex-extracted
A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field
inferredcites →https://doi.org/10.1016/j.camwa.2022.01.017openalex-extracted
New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model
inferredcites →https://doi.org/10.1016/j.cma.2018.12.012openalex-extracted
Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
inferredcites →https://doi.org/10.1016/j.cma.2019.112779openalex-extracted
A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model
inferredcites →https://doi.org/10.1016/j.cnsns.2022.106717openalex-extracted
An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2012.08.009openalex-extracted
Phase-field simulations of crystal growth with adaptive mesh refinement
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2021.121750openalex-extracted
Fully-discrete spectral-Galerkin scheme with decoupled structure and second-order time accuracy for the anisotropic phase-field dendritic crystal growth model
inferredcites →https://doi.org/10.1016/j.jcp.2017.10.021openalex-extracted
The scalar auxiliary variable (SAV) approach for gradient flows
inferredcites →https://doi.org/10.1016/j.jcp.2022.110954openalex-extracted
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
inferredcites →https://doi.org/10.1016/j.jcp.2022.111311openalex-extracted
A generalized SAV approach with relaxation for dissipative systems
inferredcites →https://doi.org/10.1016/j.jcrysgro.2011.02.042openalex-extracted
A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth
inferredcites →https://doi.org/10.1103/physreve.57.4323openalex-extracted
Quantitative phase-field modeling of dendritic growth in two and three dimensions
inferredcites →https://doi.org/10.1103/physreve.59.r2546openalex-extracted
Universal dynamics of phase-field models for dendritic growth
inferredcites →https://doi.org/10.1103/physreve.60.3614openalex-extracted
Phase-field model of dendritic sidebranching with thermal noise
inferredcites →https://doi.org/10.1103/physreve.69.051607openalex-extracted
Phase-field modeling of binary alloy solidification with coupled heat and solute diffusion
inferredcites →https://doi.org/10.1184/r1/6479126openalex-extracted
Phase field methods for free boundary problems
inferredcites →https://doi.org/10.1590/s1678-58782011000200002openalex-extracted
Numerical simulation of the solidification of pure melt by a phase-field model using an adaptive computation domain
inferredcites →https://doi.org/10.2139/ssrn.4041120openalex-extracted
A Generalized Sav Approach with Relaxation for Dissipative Systems
inferredcites →https://doi.org/10.2355/isijinternational.isijint-2020-174openalex-extracted
Quantitative Phase-field Modeling and Simulations of Solidification Microstructures
inferredcites →https://doi.org/10.4208/jms.v53n2.20.05openalex-extracted
Efficient and Energy Stable Scheme for an Anisotropic Phase-Field Dendritic Crystal Growth Model Using the Scalar Auxiliary Variable (SAV) Approach
inferredcites →https://doi.org/10.4236/wjm.2014.45015openalex-extracted
Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model
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