In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

We present results from 128 3 and 256 3 direct numerical simulations (DNS) of decaying
compressible, isotropic turbulence at fluctuation Mach numbers of M t∼ 0.1–0.5 and at …

As one of the pioneers, I am privileged to write a brief history of the origins of the interwoven
fabric of nonlinear and computational science. The “father” of these fields was John von …

Implicit large eddy simulations are performed to show control of shock and boundary layer
interaction over a natural laminar flow airfoil by harmonic heat transfer on the suction surface …

Implicit large eddy simulation results are compared to investigate the effects of wall-heating
and wall-cooling on shock–boundary layer interaction over an airfoil. Heat flux is provided …

We study the vortex-accelerated secondary baroclinic vorticity deposition (VAVD) at late-
intermediate times, and dynamics of sinusoidal single-mode Richtmyer–Meshkov interfaces …

Implicit large eddy simulations are carried out to investigate the influence of the molecular
bulk viscosity on transonic shock-wave boundary layer interaction for flow past a natural …

Nonlinear wave interactions in magnetohydrodynamics (MHD), such as shock refraction at
an inclined density interface, lead to a plethora of wave patterns with numerous wave types …

The filtered tabulated chemistry (FTACLES) approach utilizes data from pre-tabulated
explicitly filtered 1D flame profiles for closure of the LES-filtered transport terms. Different …

A number of methods for the visualization of flows with gas dynamic discontinuities are
considered. These methods allow one to perform the direct comparison of numerical results …