Concept

Boussinesq approximation (water waves)

Related publications (130)

Roll waves in floods on inclines

The unstable nature of kinematic waves, resulting from outburst floods on steep inclines, is investigated theoretically using the shallow water equations. A numerical experiment is designed in order to efficiently perform a stability analysis. By analysing ...

Taylor and Francis2007

Existence and features of similarity solutions for non-Boussinesq gravity currents

Christophe Ancey, Steve Cochard, Martin Rentschler, Sébastien Wiederseiner

In this paper, the flow dynamics of gravity currents on a horizontal plane is investigated from a theoretical point of view by seeking similarity solutions. The current is generated by unleashing a varying volume of heavy fluid within an ambient fluid of m ...

2007

Antenna excitation of drift wave in a toroidal plasma

Ambrogio Fasoli, Ivo Furno, Paolo Ricci, Benoît Labit, Mario Ludovico Podesta, Francesca Maria Poli, Stefan Müller

In a magnetized toroidal plasma, an antenna tunable in vertical wave number is used to excite density perturbations. Coherent detection is performed by means of Langmuir probes to directly determine both the wave vector and the plasma response induced by t ...

American Institute of Physics2007

The Kulikovskiy-Sveshnikova-Beghin Model of Powder Snow Avalanches: Development and Application

Christophe Ancey

A simple theoretical model, the Kulikovskiy–Sveshnikova–Beghin (KSB) model, is outlined, describing the motion of a particle cloud moving down an incline. This model includes both the entrainment of surrounding ambient fluid and the entrainment of particle ...

2007

Nonparallel spatial stability of shallow water flow down an inclined plane of arbitrary slope

Roll waves are known to occur in the frictional flow of a thin layer of water down an inclined solid surface. For a layer of constant depth, the formation of these waves on a solid plane with small slope angle have been explained as a hydrodynamic instabil ...

Taylor and Francis Group2006

Nodal DG-FEM solution of high-order Boussinesq-type equations

Jan Sickmann Hesthaven

A discontinuous Galerkin finite-element method (DG-FEM) solution to a set of high-order Boussinesq-type equations for modelling highly nonlinear and dispersive water waves in one horizontal dimension is presented. The continuous equations are discretized u ...

Springer Verlag2006

Front dynamics of supercritical non-Boussinesq gravity currents

Christophe Ancey, Steve Cochard, Martin Rentschler, Sébastien Wiederseiner

In this paper, we seek similarity solutions to the shallow water (Saint-Venant) equations for describing the motion of a non-Boussinesq, gravity-driven current in an inertial regime. The current is supplied in fluid by a source placed at the inlet of a hor ...

American Geophysical Union2006

Two-dimensional analytical solution for tide-induced watertable fluctuations in a sandy rhythmic coastline

David Andrew Barry

Modelling of tide-induced watertable fluctuations in coastal unconfined aquifers has, for many years, been based on the assumptions of one-dimensional shallow flow and a vertical beach face. This approach is based on the Boussinesq equation, neglecting var ...

Coastal Education and Research Foundation2006

Steepness expansion for free surface flows in coastal aquifers

David Andrew Barry

Free surface flow of groundwater in aquifers has been studied since the early 1960s. Previous investigations have been based on the Boussinesq equation, derived from the non- linear kinematic boundary condition. In fact, the Boussinesq equation is the zero ...

2005

New approximation for free surface flow of groundwater: Capillary correction

David Andrew Barry

An existing capillarity correction for free surface groundwater flow as modelled by the Boussinesq equation is re-investigated. Existing solutions, based on the shallow flow expansion, have considered only the zeroth-order approximation. Here, a second-ord ...

2005

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