Abstract
We have discussed the results of a numerical convergence study to analyze the accuracy of the random cortex method applied to viscous, incompressible flow in the laminar, transitional, and turbulent regimes. Our results indicate that the vortex method can be used to predict pointwise values in the laminar regime where the flow is steady and stable. In the turbulent regime, large-scale integrated quantities can be predicted and measured with an economy of vortex elements, and that global mechanisms can be analyzed. Beyond a certain resolution, the measurement of these large-scale quantities is less sensitive to additional refinement of numerical parameters. The value in additional refinement must then relate to the smaller, medium scales of the flow.
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Sethian, J.A. (1988). On measuring the accuracy of the vortex method: Using a random method to model stable and untable flow. In: Anderson, C., Greengard, C. (eds) Vortex Methods. Lecture Notes in Mathematics, vol 1360. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089773
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DOI: https://doi.org/10.1007/BFb0089773
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