Compressible Navier–Stokes–Fourier flows at steady-state

On steady-state intercompartmental flows.

The flow between compartments in physical and biological systems is treated as a special case of a more general theory of transitions between any two distinct sets A,A. Interest is focused on the flow rate from each set, i.e., the rate at which elements from that set appear in the other; and on the entry rate from each, i.e., the rate at which elements from the set leave to enter the region not...

Convergence Acceleration for Simulation of Steady-State Compressible Flows Using High-Order Schemes

The formulation of strategies for high-order discretization methods for compressible flow simulations is now to a certain extent understood, whereas the development of techniques for efficiently solving the resulting discrete equations has generally been lagging behind. Needs and constraints change greatly from case to case. In order to achieve the best-practice combination of all the ingredien...

Steady-state properties of traffic flows

The role of the passing mechanism in traffic flows is examined. Specifically, we consider passing rates that are proportional to the difference between the velocities of the passing car and the passed car. From a Boltzmann equation approach, steady-state properties of the flow such as the flux, average cluster size, and velocity distributions are found analytically. We show that a single dimens...

Compressible Euler Flows on a Convergent–Divergent Surface: Steady Subsonic Flows

In this paper, we construct various special solutions on a convergent-divergent surface for the steady compressible complete Euler system and established the stability of the purely subsonic flows. For a given pressure p0 prescribed at the “entry” of the surface, as the pressure p1 at the “exit” decreases, the flow patterns on the surface change continuously as those happen in a de Laval nozzle...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows