An unconditionally stable fast high order method for thermal phase change models

DOI10.1016/j.compfluid.2022.105306OpenAlexW4210741860MaRDI QIDQ2129500

Weiwen Wang, Chuanju Xu, Mejdi Aza ıïez

Publication date: 22 April 2022

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2022.105306

zbMATH Keywords

unconditional stabilityspectral methodphase fieldSAV approachthermal phase change problem

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fluid mechanics (76-XX) Moving boundary problems for PDEs (35R37)

Related Items (3)

A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems ⋮ Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations ⋮ A monolithic model of solid-liquid phase change problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The phase-field method in the sharp-interface limit: A comparison between model potentials
• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• An analysis of a phase field model of a free boundary
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The fast construction of extension velocities in level set methods
• A conserving discretization for the free boundary in a two-dimensional Stefan problem
• A level set approach for computing solutions to incompressible two-phase flow
• A simple level set method for solving Stefan problems
• Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
• The scalar auxiliary variable (SAV) approach for gradient flows
• A moving mesh method for the solution of the one-dimensional phase-field equations
• Level set methods and dynamic implicit surfaces
• A front-tracking method for dendritic solidification
• Computation of three dimensional dendrites with finite elements
• A variant of scalar auxiliary variable approaches for gradient flows
• A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model
• A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model
• A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
• The Numerical Analysis of a Phase Field Model in Moving Boundary Problems
• The Global Dynamics of Discrete Semilinear Parabolic Equations
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
• Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
• A diffuse-interface method for simulating two-phase flows of complex fluids
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
• Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

This page was built for publication: An unconditionally stable fast high order method for thermal phase change models