A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
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Publication:3738746
DOI10.1017/S0022112086002744zbMath0602.76026OpenAlexW2106298859MaRDI QIDQ3738746
Mogens V. Melander, Norman J. Zabusky, A. S. Styczek
Publication date: 1986
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112086002744
perturbation analysistwo-dimensional Euler equationsunbounded inviscid fluidcontour-dynamical representationevolution of finite uniform vorticity regions
Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30)
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Cites Work
- Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
- High order accurate vortex methods with explicit velocity kernels
- Vortex methods for flow simulation
- Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude
- The dynamics of a columnar vortex in an imposed strain
- Evolution and merger of isolated vortex structures
- Contour dynamics for the Euler equations in two dimensions