Numerical method for a free surface flow on the basis of the fictitious domain method

H. Kawarada, H. Suito

Research output: Contribution to journalArticle

4 Citations (Scopus)


We present a numerical method to solve free surface flow problems, using the fictitious domain method. Navier-Stokes equations in the original domain and singular perturbed diffusion equations in the fictitious domain are combined to construct distribution Navier-Stokes equations in the analysed domain. At the same time, the distribution evolution equation for the free surface is derived by using the characteristic function of the fictitious domain. The coating problem for magnetic paints is chosen to apply this method.

Original languageEnglish
Pages (from-to)57-66
Number of pages10
JournalEast-West Journal of Numerical Mathematics
Issue number1
Publication statusPublished - 1997
Externally publishedYes


ASJC Scopus subject areas

  • Computational Mathematics

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