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

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

Research output: Contribution to journalArticlepeer-review


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
Issue number4
StatePublished - Jul 2013


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

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Physics and Astronomy
  • Applied Mathematics


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