James Paul Holloway

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We present a high resolution time integration method for the spherical harmonics equations based on the L-Trap method of Duraisamy, et al. This method is equivalent to the Crank-Nicolson method in smooth regions of the solution and changes form in non-smooth regions of the solution to avoid artificial oscillations in the solution. The method is nonlinear in(More)
We examine an approach to the analysis of reactor control that uses the time-derivative of the reactor power in feedback to determine the control reactivity. The performance of such a controller can be ensured in the asymptotic limit of a small parameter in the controller, leading to two timescales on which the controller can be analyzed. A fast time scale(More)
We present an analytic solution for time-dependent P 1 (telegrapher's equation) radiative transfer. This solution will be useful for verifying spherical harmonics based transport codes and to providing insight into the properties of the P n equations. The solution is for a uniform, isotropic and non-scattering medium that has a heat capacity proportional to(More)