Asymptotic Neutron Distribution in a Finite Cylinder

Spectral Elliptic Solvers in a Finite Cylinder

New direct spectral solvers for the 3D Helmholtz equation in a finite cylindrical region are presented. A purely variational (no collocation) formulation of the problem is adopted, based on Fourier series expansion of the angular dependence and Legendre polynomials for the axial dependence. A new Jacobi basis is proposed for the radial direction overcoming the main disadvantages of previously d...

Asymptotic Distribution of Divergence Measure with Applications

Finite Volume Solution of a Cylinder in Cross Flow with Heat Transfer

A finite-volume model has been developed to study incompressible forced flow heat transfer of air over a circular cylinder in cross flow. An artificial compressibility technique is applied to couple the continuity to the momentum equations. The proposed explicit finite-volume method (FVM) uses a novel discretization in time and space. The governing equations are solved by time-marching using a ...

Asymptotic solutions for scattered field by a coated conducting cylinder

We derive the novel asymptotic solutions for the scattered field when a cylindrical wave is incident on a coated conducting cylinder with a thin lossy dielectric material. We show that the extended UTD (uniform geometrical theory of diffraction) solution and the modified UTD solution derived by retaining the second order term are uniformly applicable in the transition region near the shadow bou...

Anisotropic diffusion in a finite cylinder, with geochemical applications

Atomic diffusion in minerals may not be well represented by solutions to the diffusion equation for a sphere with a singlevalued diffusivity, either because they have platy or elongated habits or because the energetics of diffusion is sensitive to crystallographic direction. In many cases, a cylinder having characteristic radial and axial diffusivities is arguably a better model, but rigorous s...