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Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
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2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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Proving DRACO will deliver
The United States is now closer than it has been in over five decades to launching the first nuclear thermal rocket into space, thanks to DRACO—the Demonstration Rocket for Agile Cislunar Orbit.
Brian C. Franke, Anil K. Prinja
Nuclear Science and Engineering | Volume 149 | Number 1 | January 2005 | Pages 1-22
Technical Paper | doi.org/10.13182/NSE05-A2473
Articles are hosted by Taylor and Francis Online.
We present a computationally efficient single event Monte Carlo approach for calculating dose from electrons. Analog elastic scattering and inelastic energy-loss differential cross sections for electrons are converted into corresponding discrete cross sections that are constrained to exactly preserve low-order moments of the analog cross sections. While the method has been implemented and tested for the Rutherford model for scattering and energy loss, its dependence solely on cross-section moments makes our approach arbitrarily general.By comparison with analog Monte Carlo calculations, we demonstrate that few discrete angles and energies are required to achieve accurate dose distributions, and the calculations are fast. The method is capable of yielding accurate results across the entire spatial extent of the transport problem, from relatively isotropic scattering to highly forward-peaked scattering. We compare the accuracy of the angular approximation with the Goudsmit-Saunderson angular approximation commonly used by condensed history methods and similarly analyze the energy approximation. Finally, we present an investigation of the combined approximations and illustrate the accuracy of this method in the presence of a material interface. The computational efficiency of each method is explicitly compared using timing studies.