We consider an unconditionally gradient stable scheme for solving the Allen–Cahn equation
representing a model for anti-phase domain coarsening in a binary mixture. The continuous …

We propose to extend the well-known MUSCL-Hancock scheme for Euler equations to the
induction equation modeling the magnetic field evolution in kinematic dynamo problems …

We present a method for computing incompressible viscous flows in three dimensions using
block-structured local refinement in both space and time. This method uses a projection …

We present a parallel explicit/implicit time integration scheme well suited for block-adaptive
grids. The basic idea of the algorithm is that the time step** scheme can differ in the …

Drift displacement during density homogenization is modelled for hydrogen pellets injected
into the Large Helical Device (LHD). The pellet ablation and deposition profiles are …

We present a nonlinearly implicit, conservative numerical method for integration of the single-
fluid resistive MHD equations. The method uses a high-order spatial discretization that …

Adaptive mesh refinement for multiscale nonequilibrium physics Page 1 Along-standing
challenge in both ap- plied and theoretical physics is to fully understand and predict the …

A key obstacle to a successful magnetic fusion energy production in Tokamak reactors is
performance during abnormal events. Abnormal events include plasma disruptions, edge …

An implicit structured adaptive mesh refinement (SAMR) solver for 2D reduced
magnetohydrodynamics (MHD) is described. The time-implicit discretization is able to step …

During normal and disruptive operations in tokamak devices the escaped core plasma
particles are a potential threat to the divertor and nearby component lifetime as well as …