Shock wave formation in radiative plasmas.

Autor: Garcia-Rubio F; Laboratory for Laser Energetics, Rochester, New York 14623, USA and Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627, USA., Tranchant V; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA., Hansen EC; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA., Reyes A; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA., Tabassum R; Preston University, Islamabad 44000, Pakistan., Rahman HU; Magneto-Inertial Fusion Technology Inc., Tustin, California 92780, USA., Ney P; Magneto-Inertial Fusion Technology Inc., Tustin, California 92780, USA., Ruskov E; Magneto-Inertial Fusion Technology Inc., Tustin, California 92780, USA., Tzeferacos P; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA and Laboratory for Laser Energetics, Rochester, New York 14623, USA.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2024 Jun; Vol. 109 (6-2), pp. 065206.
DOI: 10.1103/PhysRevE.109.065206
Abstrakt: The temporal evolution of weak shocks in radiative media is theoretically investigated in this work. The structure of radiative shocks has traditionally been studied in a stationary framework. Their systematic classification is complex because layers of optically thick and thin regions alternate to form a radiatively driven precursor and a temperature-relaxation layer, between which the hydrodynamic shock is embedded. In this work we analyze the formation of weak shocks when two radiative plasmas with different pressures are put in contact. Applying a reductive perturbative method yields a Burgers-type equation that governs the temporal evolution of the perturbed variables including the radiation field. The conditions upon which optically thick and thin solutions exist have been derived and expressed as a function of the shock strength and Boltzmann number. Below a certain Boltzmann number threshold, weak shocks always become optically thick asymptotically in time, while thin solutions appear as transitory structures. The existence of an optically thin regime is related to the presence of an overdense layer in the compressed material. Scaling laws for the characteristic formation time and shock width are provided for each regime. The theoretical analysis is supported by FLASH simulations, and a comprehensive test case has been designed to benchmark radiative hydrodynamic codes.
Databáze: MEDLINE