  The mean momentum and heavy mass fraction, turbulent kinetic energy, and
heavy mass fraction variance fields, as well as the budgets of their transport
equations, are examined at several times during the evolution of a narrowband
Richtmyer-Meshkov instability initiated by a Mach 1.84 shock traversing a
perturbed interface separating gases with a density ratio of 3. The results are
computed using the `quarter scale' data from four algorithms presented in the
\theta-group study of Thornber et al. [Phys. Fluids 29, 105107 (2017)]. The
present study is inspired by a previous similar study of Rayleigh-Taylor
instability and mixing using direct numerical simulation data by Schilling and
Mueschke [Phys. Fluids 22, 105102 (2010)]. In addition to comparing the
predictions of the data from four implicit large-eddy simulation codes, the
budgets are used to quantify the relative importance of the terms in the
transport equations, and the balance of the terms is employed to infer the
numerical dissipation. Terms arising from the compressibility of the flow are
examined in particular, i.e., the pressure-dilatation. The results are useful
for validation of large-eddy simulation and Reynolds-averaged modeling of
Richtmyer-Meshkov instability.
