Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme

Armando Gómez; Arturo Delfin; Gustavo Alonso; Edmundo Del Valle

Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme

Armando Gómez, Arturo Delfin, Gustavo Alonso, Edmundo Del Valle

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this work it is described a novel method to solve the multi-group time-dependent diffusion equations based on a nodal cubic space interpolation in addition to the application of quadrature rules simplifying the stiffness and mass matrices arising in a finite element procedure. Numerical results for a well known benchmark problem are also provided.

Translated title of the contribution	Solución de las ecuaciones de difusión cinética ID usando un esquema cúbico nodal reducido
Original language	English
Title of host publication	Proceedings of the PHYSOR 2004
Subtitle of host publication	The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
Pages	1131-1138
Number of pages	8
State	Published - 2004
Event	PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments - Chicago, IL, United States Duration: 25 Apr 2004 → 29 Apr 2004

Publication series

Name	Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Conference

Conference	PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
Country/Territory	United States
City	Chicago, IL
Period	25/04/04 → 29/04/04

Keywords

Benchmark problems
Diffusion
Nodal methods
Quadrature rules
Reactor kinetics

Cite this

Gómez, A., Delfin, A., Alonso, G., & Del Valle, E. (2004). Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme. In Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments (pp. 1131-1138). (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).

Gómez, Armando ; Delfin, Arturo ; Alonso, Gustavo et al. / Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme. Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. 2004. pp. 1131-1138 (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).

@inproceedings{40be4be344ae4c758b89d6f62b775637,

title = "Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme",

abstract = "In this work it is described a novel method to solve the multi-group time-dependent diffusion equations based on a nodal cubic space interpolation in addition to the application of quadrature rules simplifying the stiffness and mass matrices arising in a finite element procedure. Numerical results for a well known benchmark problem are also provided.",

keywords = "Benchmark problems, Diffusion, Nodal methods, Quadrature rules, Reactor kinetics",

author = "Armando G{\'o}mez and Arturo Delfin and Gustavo Alonso and {Del Valle}, Edmundo",

year = "2004",

language = "Ingl{\'e}s",

isbn = "0894486837",

series = "Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments",

pages = "1131--1138",

booktitle = "Proceedings of the PHYSOR 2004",

note = "PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments ; Conference date: 25-04-2004 Through 29-04-2004",

}

Gómez, A, Delfin, A, Alonso, G & Del Valle, E 2004, Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme. in Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments, pp. 1131-1138, PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments, Chicago, IL, United States, 25/04/04.

Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme. / Gómez, Armando; Delfin, Arturo; Alonso, Gustavo et al.
Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. 2004. p. 1131-1138 (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme

AU - Gómez, Armando

AU - Delfin, Arturo

AU - Alonso, Gustavo

AU - Del Valle, Edmundo

PY - 2004

Y1 - 2004

N2 - In this work it is described a novel method to solve the multi-group time-dependent diffusion equations based on a nodal cubic space interpolation in addition to the application of quadrature rules simplifying the stiffness and mass matrices arising in a finite element procedure. Numerical results for a well known benchmark problem are also provided.

AB - In this work it is described a novel method to solve the multi-group time-dependent diffusion equations based on a nodal cubic space interpolation in addition to the application of quadrature rules simplifying the stiffness and mass matrices arising in a finite element procedure. Numerical results for a well known benchmark problem are also provided.

KW - Benchmark problems

KW - Diffusion

KW - Nodal methods

KW - Quadrature rules

KW - Reactor kinetics

UR - http://www.scopus.com/inward/record.url?scp=22344452969&partnerID=8YFLogxK

M3 - Contribución a la conferencia

AN - SCOPUS:22344452969

SN - 0894486837

T3 - Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

SP - 1131

EP - 1138

BT - Proceedings of the PHYSOR 2004

T2 - PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Y2 - 25 April 2004 through 29 April 2004

ER -

Gómez A, Delfin A, Alonso G, Del Valle E. Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme. In Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. 2004. p. 1131-1138. (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).

Solution of the ID kinetic diffusion equations using a reduced nodal cubic scheme

Abstract

Publication series

Conference

Keywords

Other files and links

Fingerprint

Cite this