A solution of one-dimensional moving boundaries problems by the finite-element method
Abstract
A Galerkin FEM approach to the one-dimensional Stefan problem is described and demonstrated. The method employs a one-dimensional conformal mesh and a conventional time integration algorithm. Numerical results for sample problems are presented in graphs, and it is suggested that the method should be extendable to Stefan problems in two or three dimensions (including the ablation problem for reentry vehicles).
- Publication:
-
Computers and Structures
- Pub Date:
- 1986
- Bibcode:
- 1986CoStr..24..273G
- Keywords:
-
- Ablation;
- Boundary Value Problems;
- Dynamical Systems;
- Finite Element Method;
- Thermal Stresses;
- Algebra;
- Eigenvalues;
- Galerkin Method;
- Reentry Shielding;
- Fluid Mechanics and Heat Transfer