TY - BOOK AU - Ting,Lu AU - Klein,Rupert ED - SpringerLink (Online service) TI - Viscous Vortical Flows T2 - Lecture Notes in Physics, SN - 9783540470090 AV - QC5.53 U1 - 530.15 23 PY - 1991/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Numerical analysis KW - Mathematical physics KW - Fluids KW - Mathematical Methods in Physics KW - Numerical and Computational Methods KW - Numerical Analysis N1 - Vortex dominated flows and general theory -- Motion and decay of vortex filaments -- Numerical solutions of viscous vortical flows -- Closing remarks N2 - This is a comprehensive account of the asymptotic theory of slender vortices with diffusion cores. Addressed to both graduate students and researchers it describes the mathematical model and its numerical analysis. The asymptotic analysis involves two length and two time scales. Consistency conditions and time invariance of moments of vorticity are given and applied to numerical solutions. The authors also describe consistency conditions between the large circumferential and axial velocity in the core UR - http://dx.doi.org/10.1007/3-540-53713-9 ER -