Viscous Vortical Flows
Ting, Lu.
Viscous Vortical Flows [electronic resource] / by Lu Ting, Rupert Klein. - V, 222 p. 18 illus. online resource. - Lecture Notes in Physics, 374 0075-8450 ; . - Lecture Notes in Physics, 374 .
Vortex dominated flows and general theory -- Motion and decay of vortex filaments -- Numerical solutions of viscous vortical flows -- Closing remarks.
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.
9783540470090
10.1007/3-540-53713-9 doi
Mathematical physics.
Numerical analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Fluid- and Aerodynamics.
Numerical Analysis.
QC5.53
530.15
Viscous Vortical Flows [electronic resource] / by Lu Ting, Rupert Klein. - V, 222 p. 18 illus. online resource. - Lecture Notes in Physics, 374 0075-8450 ; . - Lecture Notes in Physics, 374 .
Vortex dominated flows and general theory -- Motion and decay of vortex filaments -- Numerical solutions of viscous vortical flows -- Closing remarks.
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.
9783540470090
10.1007/3-540-53713-9 doi
Mathematical physics.
Numerical analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Fluid- and Aerodynamics.
Numerical Analysis.
QC5.53
530.15