Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems

An automatic algorithm of time step control for solving the boundary value problems for nonstationary parabolic equations is presented. The solution is obtained using complete stable implicit schemes, and the time step is evaluated using of the explicit scheme solution. The time step evaluation form...

Full description

Saved in:
Bibliographic Details
Published inFinite Difference Methods. Theory and Applications Vol. 11386; pp. 145 - 152
Main Authors Avvakumov, A. V., Strizhov, V. F., Vabishchevich, P. N., Vasilev, A. O.
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2019
Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Approximation error
Neutron diffusion
Parabolic equation
Time step selection
Online AccessGet full text

Cover

More Information
Summary:An automatic algorithm of time step control for solving the boundary value problems for nonstationary parabolic equations is presented. The solution is obtained using complete stable implicit schemes, and the time step is evaluated using of the explicit scheme solution. The time step evaluation formulas are derived using the estimation of the approximation error at next time step. Calculation results obtained for several neutron diffusion problems demonstrate reliability of the proposed algorithm for time step control.
ISBN:9783030115388
3030115380
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-030-11539-5_14