Arbitrarily high-order nodal and characteristic methods
- Oak Ridge National Lab., TN (United States)
The quest for higher computational efficiency initially led researchers in the neutron transport area to develop and implement high-order approximations for solving the linear Boltzmann equation. This drive aimed at achieving higher accuracy on coarse meshes, thereby resulting in a net savings of computational resources represented by execution time and memory. Many endeavors succeeded in reaching this goal, producing a variety of elegant, albeit complicated, formalisms that proved extremely accurate and efficient in solving test, as well as practical application, problems. The two main classes of high-order transport methods that received the most attention are the nodal and characteristic methods. A de facto linear order standard for the spatial approximation (even though quadratic nodal methods were also considered) was dictated by the algebraic complexity of the derivation of the discrete variable equations, the programming complexity of implementing and verifying them in codes, and limitations on computational resources available to run such codes. The significant advances in computational resources in terms of hardware capacity and speed, as well as architectural innovations such as vector and parallel processing, all but eliminated the third obstacle toward the development and implementation of even higher order methods. The algebraic and programming complexities, on the other hand, were alleviated to some extent by the development of arbitrarily high-order transport (AHOT) methods of the nodal (AHOT-N) and characteristic (AHOT-C) types.
- OSTI ID:
- 89114
- Report Number(s):
- CONF-941102--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 71; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
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