Variational formulation of three‐dimensional viscous free‐surface flows: Natural imposition of surface tension boundary conditions | Zendy

Ho LeeWing | Zendy; Patera Anthony T. | Zendy

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Variational formulation of three‐dimensional viscous free‐surface flows: Natural imposition of surface tension boundary conditions

Author(s) -

Ho LeeWing,

Patera Anthony T.

Publication year - 1991

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.1650130603

Subject(s) - surface tension , free surface , mathematics , surface (topology) , compressibility , finite element method , no slip condition , mechanics , boundary value problem , geometry , boundary (topology) , mathematical analysis , classical mechanics , physics , thermodynamics , mixed boundary condition

We present a new surface‐intrinsic linear form for the treatment of normal and tangential surface tension boundary conditions in C 0 ‐geometry variational discretizations of viscous incompressible free‐surface flows in three space dimensions. The new approach is illustrated by a finite (spectral) element unsteady Navier‐Stokes analysis of the stability of a falling liquid film.

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