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- W2024619710 abstract "Vortex methods rely principally on a discretization of the continuous two-dimensional time dependent vorticity field into a large number of vortex blobs, whose position and strength determine the underlying velocity field. In this paper, the convergence of the random vortex method (RVM) for a complex flow is studied in function of three discretization parameters. Two of these parameters are related to the spatial discretization of the vorticity, i.e. G(sheet or blob strength) and h (sheet length or core radius of a blob) and the third one to the discretization of time, ?t i.e. . Two principal events are observed. First, the computation works but the convergence is not attained. Second, the computation fails. The first behaviour is attributed to a lack of accuracy while the second is attributed to a lack of numerical stability. Once the stability conditions are satisfied, decreasing the value of the parameters always leads to convergence." @default.
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- W2024619710 date "1996-01-01" @default.
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- W2024619710 title "Numerical convergence of the random vortex method for complex flows" @default.
- W2024619710 doi "https://doi.org/10.1051/proc:1996021" @default.
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