The effect of pre-plasma formed under the nonlocal transport conditions on the interaction of the ultrahigh intensity laser with a solid target

High-Order Curvilinear Finite Element Magneto-Hydrodynamics I: A Conservative Lagrangian Scheme

“…Altogether, the novel method can push the frontiers of research in ICF [1], astrophysics [5], prepulse effects of ultra-intense lasers [6,7] or laser ion acceleration beamlines [50,8,9,10] and other areas, where the Lagrangian approach is favored for a strong expansion/compression of the matter and a multi-dimensional treatment is needed. These applications can then benefit from the rapid convergence, flexibility of the mesh design and robustness of the method.…”

“…The transition from the weak formulation (6) to the semi-discrete model ( 13) leads to the definition of the (bi-/tri-)linear forms on the given finite element spaces and their associated vectors/matrices/tensors. In all cases, the integrals are formulated in the real space, i.e., on the moving domain Ω(t) (and its boundary), and the base functions there are understood as compound functions of the basis function and the reverse map of x(t, X) denoted as X(t, x), i.g.…”

“…We are particularly interested in the Lagrangian approach, where the coordinate system follows the flow of the fluid. It is mostly favored in areas of modeling where the medium undergoes extreme compression or expansion like inertial confinement fusion [1,2], Z-pinches [3], supernovae collapses [4], cosmic jets [5], prepulse effects of ultra-intense lasers [6,7] or laser ion acceleration beamlines [8,9,10] as are explored at facilities like ELI Beamlines [11,12] and other multi-PW laser systems worldwide [13].…”