Abstract
The Navier-Stokes equations in their vorticity streamfunction formulation are discretized by compact algorithms. Comparison of two numerical schemes are performed on the backward facing step. While Poisson equation is in every case “mehrstellen” solved by an optimized ADI method, the vorticity equation is time differenced either with the help of a Beam-Warming approximate factorization resting upon a one-step quasi one leg method which is Δt2-accurate and A-stable, or with a more common ADI PeacemanRachford method.
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Bonnet, H., Lecointe, Y., Piquet, J., Visonneau, M. (1984). The Backward-Facing Step Comparison of two Algorithms for Unsteady Navier-Stokes Equations. 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_4
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DOI: https://doi.org/10.1007/978-3-663-14242-3_4
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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