This paper presents a method for approximating spherical tessellations, the edges of which are geodesic arcs, using spherical Laguerre Voronoi diagrams. The approximation method involves fitting the polyhedron corresponding to the spherical Laguerre Voronoi diagram to the observed tessellation using optimization techniques.

in this work the effect of electrolytes on hydrate formation was investigated. to do so, a new model was used in predicting the hydrate formation conditions in presence of both single and mixed electrolyte solutions. the new model is based on the van der waals - platteeuw hydrate equation of state. in order to evaluate the values for the activity of water in electrolyte solutions the simplified...

We perform simulations of the Kelvin-Helmholtz cooling phase proto-neutron stars with a new numerical code in spherical symmetry and using quasi-static approximation. use for first time full set charged-current neutrino-nucleon reactions, including neutron decay modified Urca processes, together energy-dependent representation inclusion nuclear correlations random-phase Moreover, convective mot...

We introduce moving least squares approximation as an approximation scheme on the sphere. We prove error estimates and approximation orders. Finally, we show certain numerical results. x1. Introduction Recently, approximation on the sphere has become important because of its obvious applications to Meteorology, Oceanography and Geoscience and Geo-engineering in general. Over the last years seve...

Vector spherical harmonic analyses have been used successfully to solve laminar and mean-field magnetohydrodynamic dynamo problems with interactions, such as the laminar induction term, anisotropic alpha-effects and anisotropic diffusion, which are difficult to analyse spectrally in spherical geometries. Spectral forms of the non-linear rotating Boussinesq and anelastic momentum, magnetic field...

The inherent complexity of the radiative transfer equation makes the exact treatment of radiative heat transfer impossible even for idealized situations and simple boundary conditions. Therefore, a wide variety of efficient solution methods have been developed for the RTE. Among these solution methods the spherical harmonics method, the moment method, and the discrete ordinates method provide m...

The Cubed Sphere grid is an important tool to approximate functions or data on the sphere. We introduce approximation framework this based least squares and a suitably chosen subspace of spherical harmonics. main claim that for equiangular with step size π/(2N), relevant harmonics one all SH degree less than 2N. This choice, which matches Nyquist’s cutoff frequency along equatorial great circle...