Kovásznay modes in stability of self-similar ablation flows of ICF

V. Lombard, S. Gauthier, J.-M. Clarisse, C. Boudesocque-Dubois
2008 Europhysics letters  
Exact self-similar solutions of gas dynamics equations with nonlinear heat conduction for semi-infinite slabs of perfect gases are used for studying the stability of ablative flows in inertial confinement fusion. Both the similarity solutions and their linear perturbations are numerically computed with a dynamical multidomain Chebyshev pseudo-spectral method. Laserimprint results, showing that maximum amplification occurs for a laser-intensity modulation of zero transverse wavenumber have thus
more » ... een obtained [1]. Here we pursue this approach by proceeding to an analysis of perturbations in terms of Kovásznay modes [2]. We have derived the exact propagation equation for the acoustic mode and the exact evolution equations for the entropy and vorticity modes.
doi:10.1209/0295-5075/84/25001 fatcat:ilcb5ibsgnhvzbjyjkivhuvasm