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 language | English (US) |
|---|---|
| Pages (from-to) | 475-482 |
| Number of pages | 8 |
| Journal | Jisuan Wuli/Chinese Journal of Computational Physics |
| Volume | 30 |
| Issue number | 4 |
| State | Published - Jul 2013 |
Keywords
- 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