The local tangential lifting method for moving interface problems on surfaces with applications
From MaRDI portal
Publication:2128397
DOI10.1016/j.jcp.2021.110146OpenAlexW3125660900MaRDI QIDQ2128397
Xinlong Feng, Xufeng Xiao, Zhilin Li
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110146
front tracking methoddendritic solidificationdiscrete delta function on surfacelocal tangential lifting methodmoving interface on surfacesurface and evolving surface PDEs
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items
Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem ⋮ An immersed finite element method for elliptic interface problems on surfaces ⋮ Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces
Uses Software
Cites Work
- Cut finite element methods for coupled bulk-surface problems
- On geodesic curvature flow with level set formulation over triangulated surfaces
- Level set equations on surfaces via the closest point method
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations
- An immersed boundary method for interfacial flows with insoluble surfactant
- Volume of fluid (VOF) method for the dynamics of free boundaries
- Numerical analysis of blood flow in the heart
- A marching method for the triangulation of surfaces
- Reconstructing volume tracking
- A simple level set method for solving Stefan problems
- A level set approach for the numerical simulation of dendritic growth
- Motion by mean curvature of curves on surfaces using the Allen-Cahn Equation
- A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces
- Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
- A front-tracking method for dendritic solidification
- The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- A fully Lagrangian meshfree framework for PDEs on evolving surfaces
- Kernel-based collocation methods for heat transport on evolving surfaces
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- The stabilized semi-implicit finite element method for the surface Allen-Cahn equation
- Volume-conserving mesh smoothing for front-tracking methods
- A new interface tracking method: the polygonal area mapping method
- A simple embedding method for solving partial differential equations on surfaces
- A front-tracking method for computation of interfacial flows with soluble surfactants
- A level-set method for interfacial flows with surfactant
- A volume of fluid approach for crystal growth simulation
- A new intrinsic numerical method for PDE on surfaces
- Discrete Conservation Laws on Curved Surfaces II: A Dual Approach
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- Iterative Splitting Methods for Differential Equations
- The immersed boundary method
- Local volume-conserving free surface smoothing
- A trace finite element method for a class of coupled bulk-interface transport problems
- Finite element analysis for a coupled bulk-surface partial differential equation
- Discrete Conservation Laws on Curved Surfaces
- A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant
- Finite element methods for surface PDEs
- The Immersed Interface Method
- A front-tracking method for the computations of multiphase flow.
- Front-tracking finite element method for dendritic solidification
- A level-set continuum method for two-phase flows with insoluble surfactant
