Adaptive panel representation for 3D vortex ring motion and instability

DOI10.1155/2007/68953zbMath1233.76083OpenAlexW2010554412MaRDI QIDQ936182

Leon Kaganovskiy

Publication date: 13 August 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45223

zbMATH Keywords

vortex sheetregularized Biot-Savart integraladaptive point insertionadaptive tree-code algorithm

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hairpin removal in vortex interactions
• Hairpin removal in vortex interactions. II
• Regularized vortex sheet evolution in three dimensions
• Automatic generation of octree-based three-dimensional discretizations for partition of unity methods
• \(K\)-means clustering for optimal partitioning and dynamic load balancing of parallel hierarchical \(N\)-body simulations
• Numerical study of a three-dimensional vortex method
• The onset of instability in exact vortex rings with swirl
• Vorticity and Incompressible Flow
• A representation of the motion of a vortex sheet in a three-dimensional flow
• Vortex Methods
• The instability of short waves on a vortex ring
• The stability of short waves on a straight vortex filament in a weak externally imposed strain field
• The instability of a straight vortex filament in a strain field
• The instability of the thin vortex ring of constant vorticity
• The topological asymptotic expansion for the Maxwell equations and some applications
• Turbulent vortex rings
• Polyhedral scattering of fundamental monopoles
• On the stability of vortex rings
• An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence
• A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow