Papers published in Hydrology and Earth System Sciences Discussions are under open-access review for the journal Hydrology and Earth System Sciences Abstract The classical formulation of the coupled hydroelectrical flow in porous media is based on a linear formulation of two coupled constitutive equations for the electrical current density and the seepage velocity of the water phase and obeying...

We study a finite element method for the 3D Navier-Stokes equations in velocityvorticity-helicity formulation, which solves directly for velocity, vorticity, Bernoulli pressure and helical density. Moreover, the algorithm strongly enforces solenoidal constraints on both the velocity (to enforce the physical law for conservation of mass) and vorticity (to enforce the mathematical law that div(cu...

The use of the tensor virial theorem (TVT) as a diagnostic of anisotropic velocity distributions in galaxies is revisited. The TVT provides a rigorous global link between velocity anisotropy, rotation and shape, but the quantities appearing in it are not easily estimated observationally. Traditionally use has been made of a centrally averaged velocity dispersion and the peak rotation velocity. ...

In this paper, we are interested in determining the seismic velocity of a shallow under-ground layer from refraction traveltimes measures. We present a study case taken from an experimental seismic survey. The study case is a wide-angle seismic inversion using experimental traveltimes measures and based on ray tracing technique and genetic algorithms. The hypothesis on the velocity distribution...

Inverse modeling of state-of-the-art NMOSFETs is used to investigate electron transport models and in particular to extract the effective velocity of electron injection from source to channel. It is found that this velocity is less than 50% of the maximum possible velocity, i.e. the thermal velocity of electrons in the source. Based on the Landauer formulation, as adapted by Lundstrom to silico...

In this paper we study parametric trace finite element (TraceFEM) and surface (SFEM) discretizations of a Stokes problem. These methods are applied both to the problem in velocity-pressure formulation stream function formulation. A class higher order is presented unified framework. Numerical efficiency aspects two formulations discussed systematic comparison TraceFEM SFEM given. benchmark intro...

A Lagrange-multiplier-based fictitious-domain method (DLM) for the direct numerical simulation of rigid particulate flows in a Newtonian fluid was presented by Glowinski, Pan, Hesla and Joseph (1999). An important feature of this finite element based method is that the flow in the particle domain is constrained to be a rigid body motion by using a well-chosen field of Lagrange multipliers. The ...

<p style='text-indent:20px;'>We study a continuous data assimilation (CDA) algorithm for velocity-vorticity formulation of the 2D Navier-Stokes equations in two cases: nudging applied to velocity and vorticity, only. We prove that under typical finite element spatial discretization backward Euler temporal discretization, application CDA preserves unconditional long-time stability property...

In this paper we investigate the relationship between stabilized and enriched finite element formulations for the Stokes problem. We also present a new stabilized mixed formulation for which the stability parameter is derived purely by the method of weighted residuals. This new formulation allows equal order interpolation for the velocity and pressure fields. Finally, we show by counterexample ...

In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are interested in a flooding and drying model, used to modelize the overflow of a river or the intrusion of a tsunami on ground. We use a non conservative form of the two-dimensional shallow water equations, in eight velocity f...