Márquez, Ariel (2022) Desarrollo de métodos variacionales para la optimización de fuentes de neutrones fríos / Development of variational methods for the optimization of cold neutrons sources. Tesis Doctoral en Ingeniería Nuclear, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
En este trabajo, desarrollamos teóricamente e implementamos computacionalmente técnicas de Monte Carlo para el cálculo de magnitudes adjuntas en moderadores criogénicos. Dichas magnitudes permiten establecer la contribución relativa de los diversos puntos del moderador a los efectos de proveer neutrones de una cierta calidad especificada. Por otro lado, se relacionan las mismas magnitudes con el principio variacional a primer orden asociado al cambio de forma del sistema moderador. Esto permite reconocer el impacto que tendrá sobre la corriente de neutrones fríos un determinado cambio geométrico, en forma previa a su cálculo explícito. Como resultado principal de nuestro estudio calculamos una magnitud adjunta Γ†v que, integrada en una región volumétrica cercana al borde del moderador, permite predecir con una exactitud del 3% el cambio que existirá en la corriente de neutrones de interés al remover dicha región, aún para cambios volumétricos considerables. Aplicando dicho concepto a una fuente fría cilíndrica de orthodeuterio de 21 litros, Γ†v revela una baja sensibilidad a los cambios geométricos cuando se comparan fuentes frías del mismo volumen, siempre y cuando su forma externa siga aproximadamente las curvas de nivel de dicha magnitud. Asimismo, Γ† v justifica −en ciertos casos− la incorporación de cavidades reentrantes adyacentes a la ventana de extracción, lo cual permite ganancias de hasta un 18%. Esta ventaja pudo ser extendida a volúmenes iniciales menores a través del agregado de hidrógeno. Por otro lado, se estudiaron diversos criterios de aceptación de neutrones, los cuales se incorporan mediante la condición de borde del problema adjunto. Se concluyó que, ante el requerimiento de neutrones con combinaciones ángulo-energía tales que permitan su transporte en una guía de neutrones, la optimización geométrica del moderador no depende del factor de calidad m de la guía. Contrariamente, al requerir sólo una energía máxima del neutrón, el volumen óptimo de moderador varía sensiblemente con dicha energía.
Resumen en inglés
In this work, we theoretically develop new Monte Carlo techniques for the calculation of adjoint magnitudes in cryogenic moderators and incorporate them into a computer code. These magnitudes establish the relative contribution of the various points of the moderator in order to provide neutrons of a certain specified quality. On the other hand, the same magnitudes are related to the first-order variational principle associated with the change in shape of the moderator system. This allows to recognize the impact that a certain geometric change will have on the cold neutron current, prior to its explicit calculation. As the main result of our study, we calculated an adjoint magnitude Γ†v that, integrated over a volumetric region close to the surface of the moderator, predicts with an accuracy of 3% the change that will exist in the neutron current when removing said region, even for considerable volumetric changes. Applying this concept to a 21-liter cylindrical cold source of ortho-deuterium, Γ†v reveals a low sensitivity to geometric changes when cold sources of the same volume are compared, as long as their external shape roughly follows the contour lines of that magnitude. Likewise, it justifies in certain cases the incorporation of reentrant cavities adjacent to the extraction window, showing intensity gains up to 18%. This advantage could be extended to lower initial volumes through the addition of hydrogen. On the other hand, various neutron acceptance criteria were studied, which are incorporated through the boundary condition of the adjoint problem. It was concluded that, given the requirement of neutrons with angle-energy combinations such that they allow their transport in a neutron guide, the geometric optimization of the moderator does not depend on the quality factor m of the guide. On the contrary, by requiring only a maximum energy of the neutron, the optimal volume of moderator varies significantly with this energy.
| Tipo de objeto: | Tesis (Tesis Doctoral en Ingeniería Nuclear) |
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| Palabras Clave: | Cold neutrons; Neutrones fríos; Variational methods; Métodos variacionales; Monte Carlo methods; Método de Monte Carlo; [Neutronics; Neutrónica; Adjoint function; Función adjunta ] |
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| Materias: | Ingeniería nuclear > Neutrónica |
| Divisiones: | Energía nuclear > Ingeniería nuclear > Física de neutrones |
| Código ID: | 1073 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 12 Jul 2022 16:21 |
| Última Modificación: | 12 Jul 2022 16:21 |
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