2. MOVING FINITE ELEMENT METHOD FOR ICF TARGET IMPLOSION (III. General Applications)

概要

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One-dimensional hydrodynamic codes for the analysis of ICF target implosion which include various effects have been developed, but most of them utilize the artificial viscosity (e. g. Von Neumann's viscosity) which cannot reveal accurately the shock waves. A gain of ICF target implosion is much due to the dissipation at the shock fronts, so it is necessary to express correctly the shock waves which are affected by the viscosity. 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 about 10^4∿10^5 meshes for the shock waves. It is a serious problem because of the computional 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 (OPDs) which minimize partial differential equation (PDE) residuals. In this paper, It is proposed to extend the MFE method for various one-dimensional hydrodynamic equations.
核融合科学研究所の論文