A novel phase-field model for $N$-phase problems: modeling, asymptotic analysis and numerical simulations
Fuente:
arXiv
Saved in:
| Main Authors: | Zhang, Lun, Wang, Chenxi, Lu, Nan, Zhang, Zhen |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Thermodynamically consistent phase-field modeling and numerical simulation for two-phase fluid-solid dynamics
by: Riethmüller, Cedric, et al.
Published: (2026)
by: Riethmüller, Cedric, et al.
Published: (2026)
Asymptotic stability of many numerical schemes for phase-field modeling
by: Li, Pansheng, et al.
Published: (2024)
by: Li, Pansheng, et al.
Published: (2024)
Integral boundary conditions in phase field models
by: Xu, Xiaofeng, et al.
Published: (2021)
by: Xu, Xiaofeng, et al.
Published: (2021)
An ALE numerical method with HLLC-2D solver for the two-phase flow ejecta transporting model
by: Zhang, Jianqiao, et al.
Published: (2024)
by: Zhang, Jianqiao, et al.
Published: (2024)
A fully-decoupled second-order-in-time and unconditionally energy stable scheme for a phase-field model of two phase flow with variable density
by: Zhang, Jinpeng, et al.
Published: (2024)
by: Zhang, Jinpeng, et al.
Published: (2024)
Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
by: Miah, Md Mamun, et al.
Published: (2025)
by: Miah, Md Mamun, et al.
Published: (2025)
Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
by: Wang, Jiancheng, et al.
Published: (2024)
by: Wang, Jiancheng, et al.
Published: (2024)
A novel model reduction method to solve inverse problems of parabolic type
by: Zhang, Wenlong, et al.
Published: (2024)
by: Zhang, Wenlong, et al.
Published: (2024)
A gradient flow model for the Gross--Pitaevskii problem: Mathematical and numerical analysis
by: Chu, Tianyang, et al.
Published: (2025)
by: Chu, Tianyang, et al.
Published: (2025)
A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation
by: Wang, Zhaoyang, et al.
Published: (2025)
by: Wang, Zhaoyang, et al.
Published: (2025)
A phase-field fracture model in thermo-poro-elastic media with micromechanical strain energy degradation
by: Liu, Yuhao, et al.
Published: (2024)
by: Liu, Yuhao, et al.
Published: (2024)
On the time integration for phase field modeling of grain growth in additive manufacturing
by: Yuan, Chaoqian, et al.
Published: (2025)
by: Yuan, Chaoqian, et al.
Published: (2025)
PFWNN: A deep learning method for solving forward and inverse problems of phase-field models
by: Bao, Gang, et al.
Published: (2024)
by: Bao, Gang, et al.
Published: (2024)
Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation
by: Li, Xiao, et al.
Published: (2024)
by: Li, Xiao, et al.
Published: (2024)
Gradient-enhanced crystal plasticity coupled with phase-field fracture modeling
by: Auth, Kim Louisa, et al.
Published: (2024)
by: Auth, Kim Louisa, et al.
Published: (2024)
A novel numerical method for mean field stochastic differential equation
by: Zhou, Jinhui, et al.
Published: (2025)
by: Zhou, Jinhui, et al.
Published: (2025)
Structure-preserving, weighted implicit-explicit schemes for multi-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
by: Li, Meng, et al.
Published: (2024)
by: Li, Meng, et al.
Published: (2024)
Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions
by: Du, Qiang, et al.
Published: (2024)
by: Du, Qiang, et al.
Published: (2024)
Numerical analysis of a FE/SAV scheme for a Caginalp phase field model with mechanical effects in stereolithography
by: Jin, Xingguang, et al.
Published: (2024)
by: Jin, Xingguang, et al.
Published: (2024)
Structure-preserving approximation for non-isothermal phase-field models in melt flow
by: Brunk, Aaron, et al.
Published: (2026)
by: Brunk, Aaron, et al.
Published: (2026)
Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids
by: Manohar, Ram, et al.
Published: (2025)
by: Manohar, Ram, et al.
Published: (2025)
A convergent adaptive finite element method for a phase-field model of dynamic fracture
by: Manohar, Ram, et al.
Published: (2025)
by: Manohar, Ram, et al.
Published: (2025)
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model
by: Acosta-Soba, Daniel, et al.
Published: (2023)
by: Acosta-Soba, Daniel, et al.
Published: (2023)
$ξ$-Based adaptive phase field model for quasi-static anti-plane fracture
by: Fernando, Maria P., et al.
Published: (2025)
by: Fernando, Maria P., et al.
Published: (2025)
Numerical efficiency of explicit time integrators for phase-field models
by: Seiz, Marco, et al.
Published: (2026)
by: Seiz, Marco, et al.
Published: (2026)
Mathematical analysis and numerical simulation of coupled nonlinear space-fractional Ginzburg-Landau equations
by: Ding, Hengfei, et al.
Published: (2025)
by: Ding, Hengfei, et al.
Published: (2025)
Unified analysis of algorithms for equilibrium, non-equilibrium, and hysteresis models of phase transition in permafrost
by: Peszynska, Malgorzata, et al.
Published: (2024)
by: Peszynska, Malgorzata, et al.
Published: (2024)
Multi-phase-field elasticity model based on partial rank-one energy relaxation on pairwise interfaces
by: Sarhil, Mohammad, et al.
Published: (2023)
by: Sarhil, Mohammad, et al.
Published: (2023)
Stochastic asymptotical regularization for nonlinear ill-posed problems
by: Long, Haie, et al.
Published: (2022)
by: Long, Haie, et al.
Published: (2022)
Non-isothermal diffuse interface model for phase transition and interface evolution
by: Liu, Chun, et al.
Published: (2024)
by: Liu, Chun, et al.
Published: (2024)
The limitations of a standard phase-field model in reproducing jointing in sedimentary rock layers
by: Pezzulli, Edoardo, et al.
Published: (2024)
by: Pezzulli, Edoardo, et al.
Published: (2024)
A hybrid numerical method for a microscopic and macroscopic traffic flow model
by: Wu, Yuanhong, et al.
Published: (2026)
by: Wu, Yuanhong, et al.
Published: (2026)
Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models
by: Brunk, Aaron, et al.
Published: (2026)
by: Brunk, Aaron, et al.
Published: (2026)
Stability and convergence analysis of unconditionally original energy dissipative implicit-explicit Runge--Kutta methods for the phase field crystal models without Lipschitz assumptions
by: Li, Xiaoli, et al.
Published: (2026)
by: Li, Xiaoli, et al.
Published: (2026)
A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction
by: Lee, Sanghyun, et al.
Published: (2024)
by: Lee, Sanghyun, et al.
Published: (2024)
Physics-informed neural networks for solving two-phase flow problems with moving interfaces
by: Zhai, Qijia, et al.
Published: (2026)
by: Zhai, Qijia, et al.
Published: (2026)
Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines
by: Verhelst, H. M., et al.
Published: (2026)
by: Verhelst, H. M., et al.
Published: (2026)
Fixed-grid sharp-interface numerical solutions to the three-phase spherical Stefan problem
by: Swami, Yavkreet, et al.
Published: (2026)
by: Swami, Yavkreet, et al.
Published: (2026)
A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
by: Gui, Yanzhi, et al.
Published: (2026)
by: Gui, Yanzhi, et al.
Published: (2026)
Crack opening calculation in phase-field modeling of fluid-filled fracture: A robust and efficient strain-based method
by: Fei, Fan, et al.
Published: (2024)
by: Fei, Fan, et al.
Published: (2024)
Similar Items
-
Thermodynamically consistent phase-field modeling and numerical simulation for two-phase fluid-solid dynamics
by: Riethmüller, Cedric, et al.
Published: (2026) -
Asymptotic stability of many numerical schemes for phase-field modeling
by: Li, Pansheng, et al.
Published: (2024) -
Integral boundary conditions in phase field models
by: Xu, Xiaofeng, et al.
Published: (2021) -
An ALE numerical method with HLLC-2D solver for the two-phase flow ejecta transporting model
by: Zhang, Jianqiao, et al.
Published: (2024) -
A fully-decoupled second-order-in-time and unconditionally energy stable scheme for a phase-field model of two phase flow with variable density
by: Zhang, Jinpeng, et al.
Published: (2024)