5,958 research outputs found
Scattering Polarization and Hanle Effect in Stellar Atmospheres with Horizontal Inhomogeneities
Scattering of light from an anisotropic source produces linear polarization
in spectral lines and the continuum. In the outer layers of a stellar
atmosphere the anisotropy of the radiation field is typically dominated by the
radiation escaping away, but local horizontal fluctuations of the physical
conditions may also contribute, distorting the illumination and hence, the
polarization pattern. Additionally, a magnetic field may perturb and modify the
line scattering polarization signals through the Hanle effect. Here, we study
such symmetry-breaking effects. We develop a method to solve the transfer of
polarized radiation in a scattering atmosphere with weak horizontal
fluctuations of the opacity and source functions. It comprises linearization
(small opacity fluctuations are assumed), reduction to a quasi-planeparallel
problem through harmonic analysis, and numerical solution by generalized
standard techniques. We apply this method to study scattering polarization in
atmospheres with horizontal fluctuations in the Planck function and opacity. We
derive several very general results and constraints from considerations on the
symmetries and dimensionality of the problem, and we give explicit solutions of
a few illustrative problems of especial interest. For example, we show (a) how
the amplitudes of the fractional linear polarization signals change when
considering increasingly smaller horizontal atmospheric inhomogeneities, (b)
that in the presence of such inhomogeneities even a vertical magnetic field may
modify the scattering line polarization, and (c) that forward scattering
polarization may be produced without the need of an inclined magnetic field.
These results are important to understand the physics of the problem and as
benchmarks for multidimensional radiative transfer codes.Comment: 27 pages, 13 figures, to appear in Ap
Optimized Schwarz waveform relaxation for Primitive Equations of the ocean
In this article we are interested in the derivation of efficient domain
decomposition methods for the viscous primitive equations of the ocean. We
consider the rotating 3d incompressible hydrostatic Navier-Stokes equations
with free surface. Performing an asymptotic analysis of the system with respect
to the Rossby number, we compute an approximated Dirichlet to Neumann operator
and build an optimized Schwarz waveform relaxation algorithm. We establish the
well-posedness of this algorithm and present some numerical results to
illustrate the method
High performance computing of explicit schemes for electrofusion jointing process based on message-passing paradigm
The research focused on heterogeneous cluster workstations comprising of a number of CPUs in single and shared architecture platform. The problem statements under consideration involved one dimensional parabolic equations. The thermal process of electrofusion jointing was also discussed. Numerical schemes of explicit type such as AGE, Brian, and Charlies Methods were employed. The parallelization of these methods were based on the domain decomposition technique. Some parallel performance measurement for these methods were also addressed. Temperature profile of the one dimensional radial model of the electrofusion process were also given
Algorithms and data structures for adaptive multigrid elliptic solvers
Adaptive refinement and the complicated data structures required to support it are discussed. These data structures must be carefully tuned, especially in three dimensions where the time and storage requirements of algorithms are crucial. Another major issue is grid generation. The options available seem to be curvilinear fitted grids, constructed on iterative graphics systems, and unfitted Cartesian grids, which can be constructed automatically. On several grounds, including storage requirements, the second option seems preferrable for the well behaved scalar elliptic problems considered here. A variety of techniques for treatment of boundary conditions on such grids are reviewed. A new approach, which may overcome some of the difficulties encountered with previous approaches, is also presented
- …