Modified nodal expansion method for convection-diffusion equation in cylindrical geometry

Zhihong Deng, Yuliang Sun, Fu Li, Rizwan-Uddin

Research output: Contribution to journalArticle

Abstract

For efficient calculation of neutronic-thermal hydraulic coupling in pebble bed high temperature gas cooled reactor, a modified nodal expansion method (MNEM) was developed to solve convection-diffusion equation in cylindrical geometry. Within the framework of nodal expansion method, up to third-order polynomials combined with an orthogonalizd exponential function were adopted as basis functions for r-directed transverse integrated equation. Numerical tests reveal that the MNEM posses inherent upwind characteristic, and has good accuracy and stability for coarse meshes.

Original languageEnglish (US)
Pages (from-to)475-482
Number of pages8
JournalJisuan Wuli/Chinese Journal of Computational Physics
Volume30
Issue number4
StatePublished - Jul 2013

Fingerprint

expansion
convection-diffusion equation
geometry
Convection-diffusion equation
Geometry
high temperature gas cooled reactors
exponential functions
hydraulics
beds
mesh
polynomials
Hydraulics
Reactor
Basis functions
Transverse
Mesh
Polynomial
Hydraulic equipment
High temperature gas reactors
Exponential functions

Keywords

  • Convection-diffusion equation
  • Cylindrical geometry
  • Exponential function
  • Modified nodal expansion method
  • Upwind

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Modified nodal expansion method for convection-diffusion equation in cylindrical geometry. / Deng, Zhihong; Sun, Yuliang; Li, Fu; Rizwan-Uddin.

In: Jisuan Wuli/Chinese Journal of Computational Physics, Vol. 30, No. 4, 07.2013, p. 475-482.

Research output: Contribution to journalArticle

Deng, Zhihong; Sun, Yuliang; Li, Fu; Rizwan-Uddin / Modified nodal expansion method for convection-diffusion equation in cylindrical geometry.

In: Jisuan Wuli/Chinese Journal of Computational Physics, Vol. 30, No. 4, 07.2013, p. 475-482.

Research output: Contribution to journalArticle

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