Application of the fractional step method to free surface flow problems

Kyle D. Squires, Takanori Hino, Yoshiaki Kodama

Research output: Contribution to journalArticlepeer-review


In the first part of this paper, the fractional step method to solve the two-dimensional Navier-Stokes Equations for incompressible viscous fluid flow is presented. The developed code is validated by some simple flow programs such as the Tylor-Green problem of decaying vortices or the driven cavity flow problem. The extension of the method to free surface flow problems is then made. Issues such as grid generation, free surface boundary conditions and movement of the free surface in time are addressed. The troubles encountered in the application of the method to free surface flow problem are discussed and some recommendations for computaion of the free surface flow using the fractional step method are made. Following these recommendations, the numerical method based on the MAC method is applied to free surface problems in the second part of the paper. The boundary and initial conditions for the generation of periodic progressive waves are discussed. The computational results show that the wave that has the given wave length and frequency can be generated by the proper boundary and initial conditions.

Original languageEnglish (US)
Pages (from-to)1-35
Number of pages35
JournalSenpaku Gijutsu Kenkyusho Hokoku/Papers of Ship Research Institute
Issue number3
StatePublished - Jul 1990
Externally publishedYes

ASJC Scopus subject areas

  • Ocean Engineering


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