AbstractIn Inertial Confinement Fusion (ICF) studies, the development of a multi-dimensional hydrodynamic computational code with the sophisticated physics of high temperatures and densities is essential to promote the research. A two-dimensional integrated ICF simulation code, ILESTA-2D, which includes physical models of thermal relaxation, multi-group radiation transport, realistic equation of state, laser absorption, etc. has been developed by one of the authors. Recently, some modifications of the code have been carried out to improve the reliability of numerical simulations and increase the robustness against numerical algorithms. In this work, two parts of the numerical methods were mainly improved. One is a rezoning/remapping algorithm, in which the Arbitrary Lagrangian Eulerian method (ALE) was applied to keep accuracy in space and time without a tangled computational mesh. Also, the use of numerical algorithms in solving diffusion-type equations was improved with a nine-point approximation algorithm. These numerical algorithms and the computational results of Rayleigh–Taylor instability solved by the new ILESTA-2D are presented in this paper.
A stable scheme for computation of coupled transport and equilibrium equations in tokamaks