Integrable decomposition methods and ensemble averaging for non-integrableN-vortex problems

DOI10.1088/1468-5248/3/1/054zbMath1083.76565OpenAlexW2064642743MaRDI QIDQ3373005

Paul K. Newton, B. Khushalani

Publication date: 10 March 2006

Published in: Journal of Turbulence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1468-5248/3/1/054

zbMATH Keywords

time-splitting methodintegrable sub-problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (2)

TheN-vortex problem on a rotating sphere. I Multi-frequency configurations ⋮ Lie-Poisson integrators: A Hamiltonian, variational approach

Cites Work

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• Symplectic integrators for long-term integrations in celestial mechanics
• Explicit symplectic schemes to solve vortex systems
• Dynamics of perturbed relative equilibria of point vortices on the sphere or plane
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Long-time symplectic integration: the example of four-vortex motion
• Integrable and chaotic motions of four vortices. I. The case of identical vortices
• Symplectic-energy-momentum preserving variational integrators
• A fast algorithm for particle simulations

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