Stability of perpendicular magnetohydrodynamic shocks in materials with ideal and nonideal equations of state

Calvo-Rivera, Andres; Huete, Cesar; García-Rubio, Fernando; Velikovich, Alexander L.; Betti, R.; Tzeferacos, P.

doi:10.1103/physreve.108.035203

Title: Stability of perpendicular magnetohydrodynamic shocks in materials with ideal and nonideal equations of state

Journal Article · 05 September 2023 · Physical Review. E

DOI: https://doi.org/10.1103/physreve.108.035203 · OSTI ID:2008463

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Universidad Carlos III de Madrid (Spain)
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Naval Research Lab. (NRL), Washington, DC (United States)

Magnetized target fusion approach to inertial confinement fusion involves the formation of strong shocks that travel along a magnetized plasma. Shocks, which play a dominant role in thermalizing the upstream kinetic energy generated in the implosion stage, are seldom free from perturbations, and they wrinkle in response to upstream or downstream disturbances. In Z-pinch experiments, significant plasma instability mitigation was observed with pre-embedded axial magnetic fields. To isolate effects, in this work we theoretically study the impact of perpendicular magnetic fields on the planar shock dynamics for different equations of state. For fast magnetosonic shocks in ideal gases, it was found that the magnetic field amplifies the intensity of the perturbations when $$\gamma$$ > 2 or it weakens them when $$\gamma$$ < 2. Weak shocks have been found to be stable regardless of the magnetic plasma intensity and gas compressibility; however, for sufficiently strong shocks the magnetic fields can promote a neutral stability/SAE at the shock if the adiabatic index is higher than 1 + $$\sqrt{2}$$. Finally, results have been validated with numerical simulations performed with the FLASH code.

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Research Organization:: Univ. of Rochester, NY (United States). Lab. for Laser Energetics

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF); USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: NA0003856; SC0014318; SC0021990; NA0002724; NA0003605; NA0003842; NA0003934; PHY-2033925; AR0001272

OSTI ID:: 2008463

Journal Information:: Physical Review. E, Vol. 108, Issue 3; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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