Applications of moving finite element method for ICF target implosion

In inertial confinement fusion (ICF), it is required that DT fuel should be compressed about several thousand times as much as solid density to achieve the fusion reaction. We need to expect how much DT fuel can be compressed in numerical analysis before experimental reserches. In numerical analysis, it is necessary to express the shock waves correctly because a gain of ICF target implosion is much due to the dissipation at the shock fronts. The width of the shock waves is usually a few times as large as the length of mean-free-path, and we have to set several million mesh points for the simulation of these shock waves. This is a serious problem because of the computational memories or CPU time. In the moving finite element (MFE) method, both nodal amplitudes and nodal positions move continuously with time in such a way as to satisfy simultaneous ordinary differential equations (ODEs) which minimize partial differential equation (PDE) residuals. In this report, it is proposed to extend the MFE method for various one-dimensional hydrodynamic equations. (author)