The design and analysis of numerical methods are usually guided by the following:(a) von
Neumann analysis using Fourier series expansion of unknowns,(b) the modified differential …

Recent research has highlighted the potential of supercritical fluids under high-pressure
transcritical conditions to achieve microconfined turbulence as a result of the thermophysical …

Microfluidics technology has grown rapidly over the past decades due to its high surface-to-
volume ratios, flow controllability, and length scales efficiently suited for interacting with …

This work utilizes a novel data-driven methodology to reduce the dimensionality of non-
buoyant microconfined high-pressure transcritical fluid turbulence. Classical dimensional …

The spatial discretization of convective terms in compressible flow equations is studied from
an abstract viewpoint, for finite-difference methods and finite-volume type formulations with …

Supercritical fluids possess unique properties that makes them relevant in various scientific
and engineering applications. However, the experimental investigation of these fluids is …

In this article, we investigate the solution of the fractional multidimensional Navier–Stokes
equation based on the Caputo fractional derivative operator. The behavior of the solution …

We study the nonlinear decay of the fast magnetosonic (fms) into the Alfvén waves in
relativistic force-free magnetohydrodynamics. The work has been motivated by models of …

The topology of multiscale turbulent motions in a high-pressure transcritical channel flow is
studied using direct numerical simulations. In particular, the system analyzed corresponds to …

We analyze the conservation properties of various discretizations of the system of
compressible Euler equations for shock-free flows, with special focus on the treatment of the …