Application of diagonally implicit Runge-Kutta method for solving time-dependent convection-diffusion equation

Zhihong Deng, Yuliang Sun, Fu Li, Rizwan Uddin

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)5-9
Number of pages5
JournalHedongli Gongcheng/Nuclear Power Engineering
Volume35
Issue number1
StatePublished - Feb 2014

Keywords

  • Convection-diffusion equation
  • Diagonally implicit Runge-Kutta schemes
  • Modified nodal expansion method

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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