The numerical decision of the self-similar problem about low-dense gas compression by dense shell is presented in the report. The problem`s setup [1] related to spherical implosion of thermonuclear ICF is taken as a base. It was considered by authors [1] as test for instability`s development simulation in a heavy-weight shell decelerating by low-dense gas. Appropriate numerical simulation was reported by us at [2]. The modification of statement [1] is presented now to study the instability’s development processes at the target’s slices interface for nuclear fusion with inertial confinement [3]. There was solved a pure hydrodynamic problem without any consideration of energy’s transforming from ion (laser) beam to compressive pulse. The main distinction of presented from [1] is in dividing of outer shell onto two slices and in prescribing the temporal function of energy input at outer slice.
It was studied here the features of low-dense gas’s compression and appearance of unstable fluxes for a different temporal functions of energy unit. The IGLA [4] calculations have no any sub-grid turbulence models or adjusting parameters. Hydrodynamics IGLA code is the modification of Harlow [5, 6] particle-in-cell method.
References
1. Youngs D.L. & Williams R.J.R. 2008. Turbulent mixing in spherical implosions. Int.J.Numer. Methods Fluids 56,1597-1603.
2. D.V.Neuvazhayev, I.A.Litvinenko, D.A.Shaporov. The nummerical simulation of the problem on turbulent mixing in case of spherical implosion performed by numerical code IGLA. The 13th International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM13), Program and Bound Abstract. Canfield University, Canfield, 2012.
3. Nuclear fusion with inertial confinement. The modern state and perspectives. Edit by B.Yu.Sharkov. - M.:Fizmatlit, 2005.
4. Litvinenko I.A., Pavlenko O.N. Modeling of three-dimensional current of gas by a method of particles on an adaptive-built in grid. Calculation of problem about dot explosion. VANT, ser. Mathematical simulation of physical processes. 2003, is.4, p. 61-67.
5. Harlow F.H. Hydrodynamics problems involving large fluid distortions. J.Assoc.Comput.Machinery. 1975. v.4, №2, p.137-142.
6. Evans M.W., Harlow F.H. The particle-in-cell method for hydrodynamic calculations, Los Alamos Scientific Lab.Rep. №LA-2139, 1957.
