The search session has expired. Please query the service again.
This paper presents a model based on spectral hyperviscosity for the simulation of 3D turbulent incompressible flows. One particularity of this model is that the hyperviscosity is active only at the short velocity scales, a feature which is reminiscent of Large Eddy Simulation models. We propose a Fourier–Galerkin approximation of the perturbed Navier–Stokes equations and we show that, as the cutoff wavenumber goes to infinity, the solution of the model converges (up to subsequences) to a weak solution...
This paper presents a model based on spectral hyperviscosity for the
simulation of 3D turbulent incompressible flows. One particularity of this
model is that the hyperviscosity is active only at the short velocity scales,
a feature which is reminiscent of Large Eddy Simulation models.
We propose a Fourier–Galerkin approximation of the perturbed
Navier–Stokes equations and we show that, as the cutoff wavenumber
goes to infinity, the solution of the model
converges (up to subsequences) to a weak...
We show that the Maxwell equations in the low frequency limit, in a domain composed of insulating and conducting regions, has a saddle point structure, where the electric field in the insulating region is the Lagrange multiplier that enforces the curl-free constraint on the magnetic field. We propose a mixed finite element technique for solving this problem, and we show that, under mild regularity assumption on the data, Lagrange finite elements can be used as an alternative to edge elements.
We show that the Maxwell equations
in the low frequency limit, in a domain composed of insulating
and conducting regions, has a saddle point structure, where
the electric field in the insulating region is the Lagrange
multiplier that enforces the curl-free constraint on the magnetic field.
We propose a mixed finite element technique
for solving this problem, and we show that, under mild regularity
assumption on the data, Lagrange finite elements can be used
as an alternative to edge elements.
This paper deals with the mortar spectral element discretization of two equivalent problems, the Laplace equation and the
Darcy system, in a domain which corresponds to a nonhomogeneous anisotropic medium. The numerical analysis of the discretization
leads to optimal error estimates and the numerical experiments that we present enable us to verify its efficiency.
We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.
We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We
reduce the original problem by a Fourier expansion in the angular variable to a countable
family of two-dimensional problems. We decompose the meridian domain, assumed polygonal,
in a finite number of rectangles and we discretize by a spectral method. Then we describe
the main features of the mortar method and use the algorithm Strang Fix to improve the
accuracy...
Currently displaying 1 –
9 of
9