One-dimensional Lagrangian implicit hydrodynamic algorithm for Inertial Confinement Fusion applications

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2016.11.011· OSTI ID:22622245

Ramis, Rafael

A new one-dimensional hydrodynamic algorithm, specifically developed for Inertial Confinement Fusion (ICF) applications, is presented. The scheme uses a fully conservative Lagrangian formulation in planar, cylindrical, and spherically symmetric geometries, and supports arbitrary equations of state with separate ion and electron components. Fluid equations are discretized on a staggered grid and stabilized by means of an artificial viscosity formulation. The space discretized equations are advanced in time using an implicit algorithm. The method includes several numerical parameters that can be adjusted locally. In regions with low Courant–Friedrichs–Lewy (CFL) number, where stability is not an issue, they can be adjusted to optimize the accuracy. In typical problems, the truncation error can be reduced by a factor between 2 to 10 in comparison with conventional explicit algorithms. On the other hand, in regions with high CFL numbers, the parameters can be set to guarantee unconditional stability. The method can be integrated into complex ICF codes. This is demonstrated through several examples covering a wide range of situations: from thermonuclear ignition physics, where alpha particles are managed as an additional species, to low intensity laser–matter interaction, where liquid–vapor phase transitions occur.

• OSTI ID: 22622245
• Journal Information: Journal of Computational Physics, Vol. 330; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ACCURACY
ALGORITHMS
ALPHA PARTICLES
COMPUTERIZED SIMULATION
ELECTRONS
EQUATIONS OF STATE
ERRORS
HYDRODYNAMICS
INERTIAL CONFINEMENT
INTERACTIONS
LAGRANGIAN FUNCTION
LASER RADIATION
LIQUIDS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
STABILITY
SYMMETRY
THERMONUCLEAR IGNITION
VAPORS
VISCOSITY