Improved thin-tube models for slender vortex simulations

DOI10.1006/JCPH.2000.6555zbMath0991.76060OpenAlexW2056928129MaRDI QIDQ1587863

Omar M. Knio, Rupert Klein

Publication date: 3 December 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6555

zbMATH Keywords

stiff equationsasymptotic techniquesslender vortex filamentsexplicit velocity correction methodfilament centerlinelocal refinement algorithmlogarithmic extrapolationself-induced filament velocitysmall core-to-radius ratio

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (1)

Axial core-variations of axisymmetric shape on a curved slender vortex filament with a similar, Rankine, or bubble core

Cites Work

• High order accurate vortex methods with explicit velocity kernels
• The evolution of a turbulent vortex
• Removing the stiffness of curvature in computing 3-D filaments
• A fast adaptive vortex method in three dimensions
• Numerical study of a three-dimensional vortex method
• Theoretical and experimental studies of slender vortex filaments
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• Representation of core dynamics in slender vortex filament simulations
• Asymptotic vorticity structure and numerical simulation of slender vortex filaments
• On the motion of slender vortex filaments

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