Weakly nonlinear waves in stratified shear flows

We develop a Korteweg-De Vries (KdV) theory for weakly nonlinear waves in discontinuously stratified two-layer fluids with a generally prescribed rotational steady current. With the help of a classical asymptotic power series approach, these models are directly derived from the divergence-free incompressible Euler equations for unidirectional...

The effect of interface movement and viscosity variation on the stability of a diffusive interface between aqueous and gaseous CO2

Carbon dioxide injected in an aquifer rises quickly to the top of the reservoir and forms a gas cap from where it diffuses into the underlying water layer. Transfer of the CO2 to the aqueous phase below is enhanced due to the high density of the carbon dioxide containing aqueous phase. This paper investigates the behavior of the diffusive...

Seismoelectric reflection and transmission at a fluid/porous-medium interface

The dispersion relation for seismoelectric wave propagation in poroelastic media is formulated in terms of effective densities comprising all viscous and electrokinetic coupling effects. Using Helmholtz decomposition, two seismoelectric conversion coefficients are derived, for an incident P-wave upon an interface between a compressible fluid and...

Laplacian Instability of Planar Streamer Ionization Fronts: An Example of Pulled Front Analysis

Streamer ionization fronts are pulled fronts that propagate into a linearly unstable state; the spatial decay of the initial condition of a planar front selects dynamically one specific long-time attractor out of a continuous family. A stability analysis for perturbations in the transverse direction has to take these features into account. In...

The Einstein relation in quantum wires of III-V, ternary, and quaternary materials in the presence of light waves: Simplified theory, relative comparison, and suggestion for experimental determination

We study the Einstein relation for the diffusivity to mobility ratio (DMR) in quantum wires (QWs) of III-V, ternary, and quaternary materials in the presence of light waves, whose unperturbed energy band structures are defined by the three band model of Kane. It has been found, taking n-InAs, n-InSb, n-Hg1?xCdxTe, n-In1?xGaxAsyP1?y lattice...

A Symmetry and Dispersion-Relation Preserving High-Order Scheme for Aeroacoustics and Aerodynamics

A new high-order, finite-volume scheme is presented that preserves the symmetry property and the dispersion relation of the convective operator. The scheme is applied to large-eddy simulation of compressible, turbulent flow and to the solution of the linearized Euler equations for aeroacoustic applications. For large-eddy simulation, the...

An overview of numerical methods for acoustic wave propagation

This paper presents a short overview of recent developments of low-dispersive and low-dissipation finite-difference schemes as an alternative to more classical methods of applied mathematics. Needs of accurate and efficient numerical solvers in computational aeroacoustics have motivated these developements over the last two decades. Properties...

Hydroelastic analysis of very large floating structures

Due to the growth of their population, urban development and the corresponding expansion of land use, several countries have decided to build artificial islands in the sea to decrease the pressure on the heavily used land space. The reclamation of the land from the sea is already widely applied, however, there is also an attractive new...