Improved dual time-stepping using second derivatives

Jan Nordström, Andrea A. Ruggiu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

We present an improved and modified formulation of the dual time-stepping technique which makes use of two derivatives in pseudo-time. This new technique, based on the critically damped harmonic oscillator, retains the convergence properties to the stationary solution. Furthermore, when compared with the conventional time-marching, the dual time-stepping with two derivatives reduces the stiffness of the problem and requires fewer iterations for full convergence to steady-state.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsM. Papadrakakis, V. Plevris, G. Stefanou, V. Papadopoulos
PublisherNational Technical University of Athens
Pages7285-7301
Number of pages17
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume4

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Country/TerritoryGreece
CityCrete
Period5/06/1610/06/16

Keywords

  • Convergence acceleration
  • Dual-time stepping
  • Steady-state solutions

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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