Pulsed Sound Waves in a Compressible Fluid

Gravitational Waves in a Shallow Compressible Liquid

Rayleigh-Taylor Instability in a Compressible Fluid

Rayleigh-Taylor instability in a compressible fluid is reconsidered. The density is allowed to vary with pressure under the barotropy assumption. For the case with equal speeds of sound in the two superposed fluids, in order to give a non-trivial compressibility correction to the Rayleigh-Taylor growth rate, the compressibility correction is calculated to O(g/ka). To this order, compressibility...

Motion of a slightly compressible fluid.

We show that the motion of a slightly compressible fluid is near that of an incompressible fluid. That is, for a given initial velocity field, the motion of a compressible fluid with large sound speed is near to that of an idealized incompressible fluid. We consider the compressible fluid motion in Lagrangian coordinates and show that it can be defined by two functions giving the kinetic and po...

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

Velocity relaxation of a particle in a confined compressible fluid.

The velocity relaxation of an impulsively forced spherical particle in a fluid confined by two parallel plane walls is studied using a direct numerical simulation approach. During the relaxation process, the momentum of the particle is transmitted in the ambient fluid by viscous diffusion and sound wave propagation, and the fluid flow accompanied by each mechanism has a different character and ...