17 citations · 63 across the 15 of their papers we have counts for
Showing physics.flu-dynShow all
3 papers · 1 filter
physics.flu-dyn2015★ 6 cited
Multipole Vortex Blob (MVB): Symplectic Geometry and Dynamics
Darryl D. Holm, Henry O. Jacobs
Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynam…
physics.flu-dyn2015★ 3 cited
Weak dual pairs and jetlet methods for ideal incompressible fluid models in dimensions
C. J. Cotter, J. Eldering, D. D. Holm +2
We review the role of dual pairs in mechanics and use them to derive particle-like solutions to regularized incompressible fluid systems. In our case we have a dual pair resulting…
physics.flu-dyn2014★ 5 cited
A jetlet hierarchy for ideal fluid dynamics
C. J. Cotter, D. D. Holm, H. O. Jacobs +1
Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simula…