A method to simulate linear stability of impulsively accelerated density interfaces in ideal-MHD and gas dynamics

Authors:
Ravi Samtaney
Affiliations:
Princeton Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, NJ 08543-0451, United States
Venue:
Journal of Computational Physics
Year:
2009

Citing 5
Cited 0

A solution-adaptive upwind scheme for ideal magnetohydrodynamics

Journal of Computational Physics
The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws A general numerical approach

Mathematics and Computers in Simulation - Special issue from IMACS sponsored conference: “Modelling '98”
An unsplit, cell-centered Godunov method for ideal MHD

Journal of Computational Physics
An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics
Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability

Journal of Computational Physics

Quantified Score

Hi-index	31.45

Visualization

Abstract

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 upwind 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.