Abstract
An efficient scheme for solving transient convection-diffusion equation was developed. Modified nodal expansion method (MNEM) was utilized for spatial discretization, while two kinds of diagonally implicit Runge-Kutta (DIRK) schemes-second-order DIRK and fourth-order DIRK were adopted for time discretization. The numerical results show that the numerical results of TDMNEM code agree with analytical solutions very well. MNEM has good ability in capturing sharp temperature variation. The efficiency of two time discretization methods depend on problem and the error criteria which been selected.
Original language | English (US) |
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Pages (from-to) | 5-9 |
Number of pages | 5 |
Journal | Hedongli Gongcheng/Nuclear Power Engineering |
Volume | 35 |
Issue number | 1 |
State | Published - Feb 2014 |
Keywords
- Convection-diffusion equation
- Diagonally implicit Runge-Kutta schemes
- Modified nodal expansion method
ASJC Scopus subject areas
- Nuclear Energy and Engineering