Abstract
Codes developped at LNH for solution of Navier-Stokes equations share as a common feature the use of fractional step schemes:
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Each time step is decomposed into substeps, corresponding to physical phe- nomena (convection, diffusion, continuity — i.e., mass conservation), of different kinds (hyperbolic, parabolic, elliptic). In our implementation we choose to begin with convection; the convected velocity fields are used as starting values for the solution of Stokes problems (diffusion + mass conservation). Thus, these algorithms are first order accurate in time.
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In this respect a stationary solution is computed as a limit of a nonstationary phenomenon (we start the computation with a fluid at rest).
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© 1984 Springer Fachmedien Wiesbaden
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Goussebaile, J., Hauguel, A., Hervouet, J.M. (1984). Calculation of Flow over a Backward Facing Step. In: Morgan, K., Periaux, J., Thomasset, F. (eds) Analysis of Laminar Flow over a Backward Facing Step. Notes on Numerical Fluid Mechanics, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14242-3_16
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DOI: https://doi.org/10.1007/978-3-663-14242-3_16
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
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