In this paper we prove the convergence of a nite volume scheme to the solution of a Stefan problem, namely the nonlinear diiusion equation ut ?'(u) = v, together with a homogeneous Neumann boundary condition and an initial condition. This is done by means of a priori estimates in L 1 and use of Kolmogorov's theorem on relative compactness of subsets of L 2 .
Keywords: Adaptive grid Orthogonal mesh Vector following method Grid quality factor Numerical code a b s t r a c t A field-based new adaptive mesh generator, VEGA (VEctor-following Grid generator for Adaptive mesh), is developed for 2-D core–edge coupled tokamak plasma transport simulations. VEGA can generate time-varying and spatially non-uniform grids by… (More)