On using discontinuous finite element methods to simulate inertial confinement fusion

This paper is devoted to the simulation of inertial confinement fusion for target design. An arbitrary Lagrangian Eulerian formulation based on discontinuous Galerkin finite element methods is proposed. It is totally different from Wilkins' scheme used in traditional ICF codes. The objective here is to test the robustness of the method on non-uniform moving grids. The emphasis is put on the preservation of the spherical symmetry. Copyright © 2005 John Wiley & Sons, Ltd.