Development of 2-D hydrodynamic code for spherical plasma shell

Conservation equations of mass, momentum and energy are solved by using a control volume method with an equation of state. For example, mass conservation δρ/δt + ∇ρv = 0 is rewritten by integrating over a volume V whose surface is denoted by S. d ∫ vρ/dt = dM/dt = -∫sρ(v - ω)ds. Here the authors define ω as a velocity of S, that is, a mesh velocity and ω is arbitrary. They can choose an appropriate value for a specified problem. If the mesh velocity is zero, then the scheme becomes Euler method and if ω = v, it is the Lagrange method. For a problem in which a mesh distortion is severe, they can choose ω so that meshes do not overtake each other. For the energy equation, they use the same method. This paper presents a simulation result for an imploding plasma shell irradiated by proton beams with the nonuniformity of 6% of beam intensity. A two dimensional hydrodynamic code HALLEY2D for an analysis of spherical plasma shell is presented