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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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A vortex sheet is susceptible to the Kelvin-Helmhotz instability, which leads to a singularity at finite time. The vortex blob model provided a regularization for the motion of vortex sheets in an inviscid fluid. In this paper, we consider the blob model for viscous vortex sheets and present a linear stability analysis for regularized sheets. We show that the diffusing viscous vortex sheet is unstable to small perturbations, regardless of the regularization, but the viscous sheet in the sharp limit becomes stable, when the regularization is applied. Both the regularization parameter and viscosity damp the growth rate of the sharp viscous vortex sheet for large wavenumbers, but the regularization parameter gives more significant effects than viscosity.
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참고문헌 (24)
참고문헌 신청
D. W. Ambrose / 2003 / Well-posedness of vortex sheets with surface tension / SIAM J. Math. Anal 35(1):211~244
G. R. Baker / 1990 / On the connection between thin vortex layers and vortex sheets / J. Fluid Mech 215:161~194
G. Birkhoff / 1962 / Helmholtz and Taylor instability / Proceedings of Symposia in AppliedMath-ematics 13:55~76
W.-S. Dai / 1993 / A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble / Phys. Fluids A 5:2131~2146
J.-M. Delort / 1991 / Existence de nappes de tourbillon en dimension deux / J. Amer. Math. Soc 4(3):553~586
G. R. Baker / 1990 / On the connection between thin vortex layers and vortex sheets / J. Fluid Mech 215:161~194
G. Birkhoff / 1962 / Helmholtz and Taylor instability / Proceedings of Symposia in AppliedMath-ematics 13:55~76
W.-S. Dai / 1993 / A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble / Phys. Fluids A 5:2131~2146
J.-M. Delort / 1991 / Existence de nappes de tourbillon en dimension deux / J. Amer. Math. Soc 4(3):553~586
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