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- W2057683997 abstract "A new Legendre spectral element method is presented for the solution of viscous incompressible free-surface flows. It is based on the following extensions of the fixed-domain spectral element method: use of the full viscous stress tensor for natural imposition of traction (surface tension) boundary conditions; use of arbitrary-Lagrangian-Eulerian methods for accurate representation of moving boundaries; and use of semi-implicit time-stepping procedures to partially decouple the free-surface evolution and interior Navier-Stokes equations. For purposes of analysis and clarity of presentation, attention is focused on the stability of falling films. Analysis of the spectrum of the linear stability problem (Orr-Sommerfeld equation) associated with film flow reveals physical effects that limit the stability of semi-implicit schemes and suggests optimal formulas for temporal discretization of the spectral element equations. Detailed results are presented for the spectral element simulation of the film flow problem." @default.
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- W2057683997 date "1990-06-01" @default.
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- W2057683997 title "A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows" @default.
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- W2057683997 doi "https://doi.org/10.1016/0045-7825(90)90040-s" @default.
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