The influence of different methods for calculating mean absorption coefficients on the arc voltage and velocity an moving in air along parallel busbars is investigated a numerical simulation. radiation model used discrete ordinate method. Planck, hybrid Rosseland calculations three- six-band selection are discussed. Compared with experimental results from published paper, Planck six bands shows...

To my beautiful wife, Ashley. For your unconditional love, faithful encouragement, and resolute support. You have always believed in and inspired the pursuit of my dreams. iv ACKNOWLEDGEMENTS I would first like to express my immense gratitude to my advisor, Dr. Glenn Sjoden. What started as an undergraduate summer research project transformed into my path in graduate school. As both an advisor ...

We review the basic theory for the radiative transport equation governing light propagation in biological tissues. The Green’s function is the fundamental solution to the transport equation from which all other solutions can be computed. We compute the Green’s function as an analytical expansion in plane wave modes. We calculate these plane wave modes numerically using the discrete ordinate met...

Most of numerical methods for deterministic simulations of rarefied gas flows use the discrete velocity (or discrete ordinate) approximation. In this approach, the kinetic equation is approximated with a global velocity grid. The grid must be large and fine enough to capture all the distribution functions, which is very expensive for high speed flows (like in hypersonic aerodynamics). In this a...

We summarize an advanced, thoroughly documented, and quite general purpose discrete ordinate algorithm for time-independent transfer calculations in vertically inhomogeneous, nonisothermal, plane-parallel media. Atmospheric applications ranging from the UV to the radar region of the electromagnetic spectrum are possible. The physical processes included are thermal emission, scattering, absorpti...

In this work, a coarse-mesh method used in the solution of neutron shielding problems slab geometry is parallelized, using memory shared environment OpenMP. The transport problem modelled linearized Boltzmann equation considering energy multigroup theory and discrete ordinate formulation ( ). numerical method, named Modified Spectral Deterministic (MSD), uses neutrons intranodal general alongsi...