Abstract
An r -adaptive moving mesh method is developed for the numerical solution of
an enthalpy formulation of two-dimensional heat conduction problems with a phase
change. The grid is obtained from a global mapping of the physical to the computational
domain which is designed to cluster mesh points around the interface between
the two phases of the material. The enthalpy equation is discretised using a semiimplicit
Galerkin finite element method using linear basis functions. The moving
finite element method is applied to problems where the phase front is cusp shaped
and where the interface changes topology.
| Original language | English |
|---|---|
| Pages (from-to) | 500-518 |
| Number of pages | 18 |
| Journal | Journal of Computational Physics |
| Volume | 168 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 10 Apr 2001 |
Keywords
- enthalpy
- phase change
- equidistribution
- stefan problem
- moving meshes
- adaptive method
- moving finite elements