The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
This work deals with the flow of incompressible viscous fluids in a two-dimensional branching channel. Using the immersed boundary method, a new finite difference solver was developed to interpret the channel geometry. The numerical results obtained by this new solver are compared with the numerical simulations of the older finite volume method code and with the results obtained with OpenFOAM. The aim of this work is to verify whether the immersed boundary method is suitable for fluid flow in channels...
We study here the water waves problem for uneven bottoms in a highly nonlinear regime where
the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known
that, for such regimes, a generalization of the KdV equation (somehow linked to
the Camassa-Holm equation) can be derived and justified [Constantin and Lannes,
Arch. Ration. Mech. Anal. 192 (2009) 165–186] when the bottom is
flat. We generalize here this result
with a new class of equations taking into account...
Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
Both the porous medium equation and the system of isentropic Euler
equations can be considered as steepest descents on suitable
manifolds of probability measures in the framework of optimal
transport theory. By discretizing these variational
characterizations instead of the partial differential equations
themselves, we obtain new schemes with remarkable stability
properties. We show that they capture successfully the nonlinear
features of the flows, such as shocks and rarefaction waves for...
A basic question in General Relativity from the point of view of the general field theory is to obtain the Einstein equations coupled with the stress-energy-momentum tensor of a dissipative fluid from a variational principle. We believe that this problem, whose solution for perfect fluids is well known, has not been faced in a systematic way, maybe by the thought of a possible nonsense, for the concept of dissipation is believed to be incompatible with the essentially conservative character of the...
This paper concerns the discretization of multiphase Darcy flows, in the case of
heterogeneous anisotropic porous media and general 3D meshes used in practice to represent
reservoir and basin geometries. An unconditionally coercive and symmetric vertex centred
approach is introduced in this paper. This scheme extends the Vertex Approximate Gradient
scheme (VAG), already introduced for single phase diffusive problems in [9], to multiphase
Darcy flows....
In this paper, we consider a 2D mathematical modelling of the vertical compaction effect in a water saturated sedimentary basin. This model is described by the usual conservation laws, Darcy’s law, the porosity as a function of the vertical component of the effective stress and the Kozeny-Carman tensor, taking into account fracturation effects. This model leads to study the time discretization of a nonlinear system of partial differential equations. The existence is obtained by a fixed-point argument....
In this paper, we consider a 2D mathematical modelling of the vertical
compaction effect in a water saturated sedimentary basin. This model is
described by the usual conservation laws, Darcy's law, the porosity as a
function of the vertical component of the effective stress and the
Kozeny-Carman tensor, taking into account fracturation effects. This model
leads to study the time discretization of a nonlinear system of
partial differential equations. The existence is obtained by a fixed-point
argument....
Currently displaying 1 –
20 of
34