A Method to Simulate Linear Stability of Impulsively Accelerated Density Interfaces in Ideal-MHD and Gas Dynamics

Samtaney, Ravi

Princeton University. Plasma Physics Laboratory.

关键词: Dimensions;    70 Plasma Physics And Fusion Technology;    Stability;    Instability;    Hydrodynamics;   

DOI  :  10.2172/950506
RP-ID  :  PPPL-4376
RP-ID  :  DE-ACO2-09CH11466
RP-ID  :  950506

美国|英语

来源: UNT Digital Library

【 摘 要 】

We present a numerical method to solve the linear stability of impulsively accelerated density interfaces in two dimensions such as those arising in the Richtmyer-Meshkov instability. The method uses an Eulerian approach, and is based on an unwind method to compute the temporally evolving base state and a flux vector splitting method for the perturbations. The method is applicable to either gas dynamics or magnetohydrodynamics. Numerical examples are presented for cases in which a hydrodynamic shock interacts with a single or double density interface, and a doubly shocked single density interface. Convergence tests show that the method is spatially second order accurate for smooth flows, and between first and second order accurate for flows with shocks.