Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows
(1993) Journal of Computational Physics — Vol. 2, n° 2019, p. 247-273 (1993)
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- Abstract
- Recent contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows are presented. Both singular and regularized vortex particle methods are reviewed, along with an investigation of different evolution equations for the particle strength vector. For the regularized method, a new algebraic smoothing is presented with convergence properties equal to those of Gaussian smoothing. A version of the regularized method which can account for viscous diffusion is developed using a scheme that redistributes the particle strength vectors. Finally, particle methods are investigated with respect to conservation laws, and new expressions for the quadratic diagnostics, energy, helicity, and enstrophy are derived.
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Winckelmans, G., & Leonard, A. (1993). Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows. Journal of Computational Physics, 2(2019), 247-273. https://doi.org/10.1006/jcph.1993.1216 (Original work published 1993)