Lagrangian finite element method for free surface Navier‐Stokes flow using fractional step methods

Masahiro Hayashi, Katsumori Hatanaka, Mutsuto Kawahara

doi:10.1002/fld.1650130702

Lagrangian finite element method for free surface Navier‐Stokes flow using fractional step methods

DOI Web Site Web Site 被引用文献5件

書誌事項

公開日: 1991-10

権利情報

http://onlinelibrary.wiley.com/termsAndConditions#vor

DOI

10.1002/fld.1650130702

公開者: Wiley

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説明

<jats:title>Abstract</jats:title><jats:p>This paper presents a finite element analysis based on the Lagrangian description for unsteady incompressible viscous fluid flow with a free surface. The behaviour of the fluid is expressed by the unsteady Navier‐Stokes equation. For numerical integration in time the fractional step method is used. This method is useful because one can use the same linear interpolation functions for both velocity and pressure. In this paper, four variations of the fractional step method are presented and the numerical results are compared. To confirm the effectiveness of these methods, solitary wave propagation is analysed.</jats:p>