Abstract
A compact finite-difference approximation to the unsteady Navier-Stokes equations in velocity-vorticity variables is used to numerically simulate a number of flows. These include two-dimensional laminar flow of a vortex evolving over a flat plate with an embedded cavity, the unsteady flow over an elliptic cylinder, and aspects of the transient dynamics of the flow over a rearward facing step. The methodology required to extend the two-dimensional formulation to three-dimensions is presented.
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References
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© 1985 Springer-Verlag
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Gatski, T.B., Grosch, C.E. (1985). A numerical study of the two- and three-dimensional unsteady Navier-Stokes equations in velocity-vorticity variables using compact difference schemes. In: Soubbaramayer, Boujot, J.P. (eds) Ninth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13917-6_141
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DOI: https://doi.org/10.1007/3-540-13917-6_141
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