Numerical Methods for Lagrangian and ALE Hydrodynamic Simulations

Abstract

This text summarizes some outputs of research and other contributions in the field of numerical methods for Lagrangian and Arbitrary Lagrangian-Eulerian (ALE) hydrodynamic simulations of laser-plasma interaction, on which its author collabo rated in recent years. Ten selected pub lished papers are briefly commented and put into the perspective of contempo rary research. Particular topics include new types of artificial viscosity, consistent treatment of the equation of state, strate gies for symmetry preservation at various stages of the ALE algorithm, techniques for effective and solution-aware mesh re zoning, methods for synchronized flux corrected remapping, and a few examples of real applications. Some of the author’s ongoing research directions are presented and related scientific plans for near future mentioned.