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Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method
- Source :
- Journal of computational Physics, 229(7), 2634-2648. Academic Press Inc., Journal of Computational Physics, 229(7), 2634-2648
- Publication Year :
- 2010
-
Abstract
- We conduct long-time simulations with a Hamiltonian particle-mesh method for ideal fluid flow, to determine the statistical mean vorticity field of the discretization. Lagrangian and Eulerian statistical models are proposed for the discrete dynamics, and these are compared against numerical experiments. The observed results are in excellent agreement with the theoretical models, as well as with the continuum statistical mechanical theory for ideal fluid flow developed by Ellis et al. (2002) [10]. In particular the results verify that the apparently trivial conservation of potential vorticity along particle paths within the HPM method significantly influences the mean state. As a side note, the numerical experiments show that a nonzero fourth moment of potential vorticity can influence the statistical mean.
- Subjects :
- Numerical Analysis
Physics and Astronomy (miscellaneous)
Discretization
Applied Mathematics
Mathematical analysis
Statistical mechanics
Vorticity
Conservative discretizations
Computer Science Applications
Quasigeostrophic flow
Geometric numerical integration
Physics::Fluid Dynamics
Computational Mathematics
Classical mechanics
Vorticity equation
Potential vorticity
Modeling and Simulation
Particle Mesh
Fluid dynamics
Geophysical fluid dynamics
Statistical theory
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 229
- Issue :
- 7
- Database :
- OpenAIRE
- Journal :
- Journal of computational Physics
- Accession number :
- edsair.doi.dedup.....5680ed5e5e3de2452498771451fd7014