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.

LanguageEnglish (US)
Pages475-482
Number of pages8
JournalJisuan Wuli/Chinese Journal of Computational Physics
Volume30
Issue number4
StatePublished - Jul 2013

Fingerprint

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

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

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