2018/02/19 by Seth Davidovits, N. J. Fisch, Nathaniel Fisch · 11 citations
Engineering · Medicine · Physics and Astronomy · #Classical mechanics #Combustion and flame dynamics #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Hydrodynamic stability #Instability #Mechanics #Medicine #Physics #Plasma instability #Reynolds number #Saturation (graph theory) #Spots #Stability (learning theory) #Statistical physics #Turbulence #physics.plasm-ph
paper · pdf · doi:10.1063/1.5026413
published in Physics of Plasmas 25(4) (American Institute of Physics) · 10 pages, 5 figures, 1 table
arxiv created 2018/02/19 · openalex publication_date 2018/04/01 · arxiv updated 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
For hot spots compressed at constant velocity, we give a hydrodynamic stability criterion that describes the expected energy behavior of non-radial hydrodynamic motion for different classes of trajectories (in ρR — T space). For a given compression velocity, this criterion depends on ρR, T, and dT/d(ρR) (the trajectory slope) and applies point-wise so that the expected behavior can be determined instantaneously along the trajectory. Among the classes of trajectories are those where the hydromotion is guaranteed to decrease and those where the hydromotion is bounded by a saturated value. We calculate this saturated value and find the compression velocities for which hydromotion may be a substantial fraction of hot-spot energy at burn time. The Lindl (Phys. Plasmas 2, 3933 (1995)] “attractor” trajectory is shown to experience non-radial hydrodynamic energy that grows towards this saturated state. Comparing the saturation value with the available detailed 3D simulation results, we find that the fluctuating velocities in these simulations reach substantial fractions of the saturated value.