Numerical enclosure of solutions for two dimensional driven cavity problems

M. T. Nakao, K. Nagatout, K. Hashimoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider a numerical enclosure method for stationary solutions of two dimensional regularized driven cavity problems. The infinite dimensional Newton method takes an important role in our method, which needs to estimate the rigourous bound for the norm of inverse of the linearized operator. The method can be applied to the case for the large Reynolds numbers. Numerical examples which show the actual usefullness of the method are presented.

Original languageEnglish
Title of host publicationECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
Publication statusPublished - 2004
Externally publishedYes
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla
Duration: 2004 Jul 242004 Jul 28

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CityJyvaskyla
Period04/7/2404/7/28

Keywords

  • Driven cavity flows
  • Infinite dimensional Newton method
  • Numerical enclosure method

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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