Published February 2014 | Version v1
Journal article Metadata-only

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

Creators

  • 1. China Huaneng Nuclear Development Co., Ltd., Beijing (China)
  • 2. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing (China)
  • 3. Nuclear, Plasma, Radiological Engineering, University of Illinois at Urbana-Champaign, Urbana (United States)

Description

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. (authors)

Additional details

Publishing Information

Journal Title
Nuclear Power Engineering
Journal Volume
35
Journal Issue
1
Journal Page Range
p. 5-9
ISSN
0258-0926

INIS

Country of Publication
China
Country of Input or Organization
China
INIS RN
48083469
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS;
Descriptors DEI
ANALYTICAL SOLUTION; CONVECTION; DIFFUSION EQUATIONS; EFFICIENCY; ERRORS; NODAL EXPANSION METHOD; REACTOR PHYSICS; RUNGE-KUTTA METHOD; TIME DEPENDENCE; TRANSIENTS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ENERGY TRANSFER; EQUATIONS; HEAT TRANSFER; ITERATIVE METHODS; MASS TRANSFER; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICS

Optional Information

Notes
5 figs., 5 refs.