Abstract
In inertial confinement fusion (ICF), high-intensity radiation is distributed over a capsule containing nuclear fuel so that a spherical, converging shock is driven inwards, compressing the fuel to conditions where nuclear fusion can occur [3]. The Richtmyer-Meshkov instability (RMI), which occurs when a density interface is impulsively accelerated, has the potential to disrupt the symmetry of the converging flow, limiting energy production in this process.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chang, P.Y., Fiksel, G., Hohenberger, M., Knauer, J.P., Betti, R., Marshall, F.J., Meyerhofer, D.D., Séguin, F.H., Petrasso, R.D.: Fusion Yield Enhancement in Magnetized Laser-Driven Implosions. Phys. Rev. Lett. 107, 035006 (2011)
Li, S.: An HLLC Riemann Solver for magneto-hydrodynamics. J. Comp. Phys. 203, 344–457
Lindl, J.D., Amendt, P., Berger, R.L., Glendinning, S.G., Glenzer, S.H., Haan, S.W., Kauffman, R.L., Landen, O.L., Suter, L.J.: The physics basis for ignition using indirect-drive targets on the National Ignition Facility. Phys. Plasmas 11, 2 (2004)
Samtaney, R., Colella, P., Ligocki, T.J., Martin, D.F., Jardin, S.C.: An adaptive mesh semi-implicit conservative unsplit method for resistive MHD. Journal of Physics: Conference Series 16, 40 (2005)
Samtaney, R.: Suppression of the Richtmyer-Meshkov instability in the presence of a magnetic field. Phys. Fluids 15, 8 (2003)
Wheatley, V., Kumar, H., Huguenot, P.: On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics. J. Comp. Phys. 229, 660–680 (2010)
Wheatley, V., Pullin, D.I., Samtaney, R.: Stability of an Impulsively Accelerated Density Interface in Magnetohydrodynamics. Phys. Rev. Lett. 95, 125002 (2005)
Wheatley, V., Samtaney, R., Pullin, D.I.: The Richtmyer-Meshkov instability in magnetohydrodynamics. Phys. Fluids 21, 082101 (2009)
Zhang, Q., Graham, M.J.: A numerical study of Richtmyer-Meshkov instability driving by cylindrical shocks. Phys. Fluids 10, 974 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Mostert, W., Wheatley, V., Samtaney, R. (2015). Characterisation of the Cylindrical Riemann Problem in Magnetohydrodynamics. In: Bonazza, R., Ranjan, D. (eds) 29th International Symposium on Shock Waves 2. ISSW 2013. Springer, Cham. https://doi.org/10.1007/978-3-319-16838-8_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-16838-8_1
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16837-1
Online ISBN: 978-3-319-16838-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)