The forthcoming laser installations related to inertial confinement
fusion, Laser Mégajoule (LMJ) (France) and National Ignition
Facility (NIF) (USA), require multidimensional numerical simulation
tools for interpreting current experimental data and to perform
predictive modeling for future experiments. Simulations of macroscopic
plasma volumes of the order of 1 mm3 and laser exposure
times of the order of hundreds of picoseconds are necessary. We present
recent developments in the PARAX code towards this goal. The laser
field is treated in a standard paraxial approximation in three
dimensions. The plasma response is described by single-fluid,
two-temperature, fully nonlinear hydrodynamical equations in the plane
transverse to the laser propagation axis. The code also accounts for
the dominant nonlocal transport terms in spectral form originating from
a linearized solution to the Fokker–Planck equation. The
simulations of interest are hohlraum plasmas in the case of indirect
drive or the plasma corona for direct drive. Recent experimental
results on plasma-induced smoothing of RPP laser beams are used to
validate the code.