[An alternating direction implicit algorithm for viscous free surface flows]
(1975) Journal de Mecanique — Vol. 14, n° 1, p. 161-187 (1975)
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- Abstract
- The numerical integration of the Navier-Stokes equations for free surface flows, by a Douglas-Rachford modified alternating direction implicit scheme is considered. For slow flows of a weakly dissipative fluid, unconditional stability is shown by using a matrix method. Numerical results for confined flows are presented for the square cavity problem and the shear flow of a dissipative fluid. The free surface algorithm rests upon two stages: a prediction step and a correction step, and is applied to the study of the surge front of a collapsing fluid column.
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Deville, M. O. (1975). [An alternating direction implicit algorithm for viscous free surface flows]. Journal de Mecanique, 14(1), 161-187. https://hdl.handle.net/2078.5/86134 (Original work published 1975)