Computation of sharp phase boundaries by spreading: the planar and spherically symmetric cases
Journal of Computational Physics
SIAM Journal on Scientific and Statistical Computing
ACM Transactions on Mathematical Software (TOMS)
Phase field computations of single-needle crystals, crystal growth, and motion by mean curvature
SIAM Journal on Scientific Computing
Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
SIAM Journal on Scientific Computing
An r-adaptive finite element method based upon moving mesh PDEs
Journal of Computational Physics
Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
Journal of Computational Physics
The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method
Journal of Computational Physics
Moving mesh methods in multiple dimensions based on harmonic maps
Journal of Computational Physics
A moving mesh method for the solution of the one-dimensional phase-field equations
Journal of Computational Physics
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis
Moving mesh methods with locally varying time steps
Journal of Computational Physics
On Resistive MHD Models with Adaptive Moving Meshes
Journal of Scientific Computing
An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model
Journal of Computational Physics
Efficient computation of dendritic growth with r-adaptive finite element methods
Journal of Computational Physics
Hi-index | 0.01 |
A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.