Numerical solutions of the one-phase classical Stefan problem using an enthalpy green element formulation

Publication year: 2011
Source: Advances in Engineering Software, In Press, Corrected Proof, Available online 15 June 2011

Okey Oseloka, Onyejekwe , Ogugua N., Onyejekwe

The enthalpy method is exploited in tackling a heat transfer problem involving a change of state. The resulting governing equation is then solved with a hybrid finite element – boundary element technique known as the Green element method (GEM). Two methods of approximation are employed to handle the time derivative contained in the discrete element equation. The first involves a finite difference method, while the second utilizes a Galerkin finite element approach. The performance of both methods are assessed with a known closed form solution. The finite element based time discretization, despite its greater challenge, yields less reliable numerical results….