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Going Nuclear: Notes from the officially unofficial book tour
I work in the analytical labs at one of Europe’s oldest and largest nuclear sites: Sellafield, in northwestern England. I spend my days at the fume hood front, pipette in one hand and radiation probe in the other (and dosimeter pinned to my chest, of course). Outside the lab, I have a second job: I moonlight as a writer and public speaker. My new popular science book—Going Nuclear: How the Atom Will Save the World—came out last summer, and it feels like my life has been running at full power ever since.
Marvin L. Adams, William R. Martin
Nuclear Science and Engineering | Volume 111 | Number 2 | June 1992 | Pages 145-167
Technical Paper | doi.org/10.13182/NSE92-A23930
Articles are hosted by Taylor and Francis Online.
We present a discretization of the diffusion equation that can be used to accelerate transport iterations when the transport equation is spatially differenced by a discontinuous finite element (DFE) method. That is, we present a prescription for diffusion synthetic acceleration of DFE transport iterations. (The well-known linear discontinuous and bilinear discontinuous schemes are examples of DFE transport differencings.) We demonstrate that our diffusion discretization can be obtained in any coordinate system on any grid. We show that our diffusion discretization is not strictly consistent with the transport discretization in the usual sense. Nevertheless, we find that it yields a scheme with unconditional stability and rapid convergence. Further, we find that as the optical thickness of spatial cells becomes large, the spectral radius of the iteration scheme approaches zero (i.e., instant convergence). We give analysis results for one- and two-dimensional Cartesian geometries and numerical results for one-dimensional Cartesian and spherical geometries.