Name: Improving Low Order, Linear, Positive Spatial Quadratures for the Partial Current Neutron Transport Method (en Inglés)
Price: 23.57 USD
Availability: InStock
Author: Snyder, John M.
ISBN: 9781288324217

portada Improving Low Order, Linear, Positive Spatial Quadratures for the Partial Current Neutron Transport Method (en Inglés)

Improving Low Order, Linear, Positive Spatial Quadratures for the Partial Current Neutron Transport Method (en Inglés)

Formato

Libro Físico

Autor

John M. Snyder

Editorial

Biblioscholar

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

24.6 x 18.9 x 0.4 cm

Peso

0.14 kg.

ISBN13

9781288324217

Categorías

Educación

Improving Low Order, Linear, Positive Spatial Quadratures for the Partial Current Neutron Transport Method (en Inglés)

John M. Snyder (Autor) · Biblioscholar · Tapa Blanda

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Reseña del libro "Improving Low Order, Linear, Positive Spatial Quadratures for the Partial Current Neutron Transport Method (en Inglés)"

AFIT researchers have developed a new approach to solving Discrete Ordinates equations, which approximate the linear Boltzmann Transport Equation (BTE). The usual approach is von Neumann iteration on the scattering source, which requires repeated sweeps through the spatial-angular grid. Acceptable convergence requires complicated and expensive acceleration schemes. The new approach, Partial-Current Transport (PCT) with Adaptive Distribution Iteration, eliminates scattering source iteration through matrix inversions and a reduced-size global linear algebra problem. It creates the needed matrices directly from the standard spatial quadratures used in the sweeping. Positivity, linearity, and (higher-than-first-order) accuracy are the key desirable qualities with all Discrete Ordinates methods, but all three, according to Lathrop [8], cannot be achieved simultaneously. If a high order accurate, linear method is used, it can produce negative fluxes. Non-linear methods have been developed that are high-order accurate and positive, but these methods are not widely accepted because the BTE is itself a linear equation.