Abstract
This paper presents a selection of numerical methods among the most currently used to solve the Navier Stokes equation in a vorticity formulation. The paper focuses on the connection that exists between vorticity boundary condition and the divergence free condition. The different methods has been cast in two classes : the methods which are based on divergence free approximations of the vorticity fields, and those which use a correction procedure in order to satisfy this constraint. For both classes, the respective advantages of Eulerian grid methods and lagrangian methods are briefly discussed.
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Huberson, S., Daube, O. (2000). Numerical Simulation of Vortex Flows. In: Maurel, A., Petitjeans, P. (eds) Vortex Structure and Dynamics. Lecture Notes in Physics, vol 555. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44535-8_2
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DOI: https://doi.org/10.1007/3-540-44535-8_2
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