2001
DOI: 10.1006/jcph.2001.6835
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A Vorticity-Based Method for Incompressible Unsteady Viscous Flows

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Cited by 27 publications
(16 citation statements)
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“…It can be seen that this phenomena has been captured by the present method. Figure 3 also shows that the finer core with dt = 0.01 shows better agreement with the results from Koumoutsakos and Leonard [18] and Qian and Vezza [19]. The following results in this section are given using the finer grid.…”
Section: Vorticity Boundary Conditionsupporting
confidence: 69%
“…It can be seen that this phenomena has been captured by the present method. Figure 3 also shows that the finer core with dt = 0.01 shows better agreement with the results from Koumoutsakos and Leonard [18] and Qian and Vezza [19]. The following results in this section are given using the finer grid.…”
Section: Vorticity Boundary Conditionsupporting
confidence: 69%
“…12, we compare the vorticity distribution at the cylinder surface calculated, at time t ¼ 6, with different values of N . Also shown is a result given in [19] for comparison. For N ¼ 6, the resolution seems to be inaccurate, but already comparable with the one of [19].…”
Section: Influence Of the Polynomial Approximation Degreementioning
confidence: 96%
“…The mechanism of unsteady separation and the interaction between vortical structures and solid boundary were reviewed by Doligaski et al [27]. In Figure 19, the C d values are compared with other calculated results [17,25,26], which show a very good agreement among the results from di erent methods. For the same time t, 350 000 discrete vortex elements have been used in the study of Koumoutsakos and Leonard [17] and 2044 × 254 grid points was used by Anderson and Reider [26].…”
Section: Flow Around Impulsively Started Circular Cylindersmentioning
confidence: 90%
“…The vorticity ux helps establish a vorticity ÿeld that eliminates the spurious tangential velocity while simultaneously enforcing the no-ux boundary condition. Here we should notice that the vorticity ux (@!=@n) B is coupled globally to vorticity distribution in ow domain according to Equations (8) and (25). We introduce an iterative scheme to solve this coupled system [24].…”
Section: The DI Usion Equationmentioning
confidence: 99%
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