Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Dubinkina, Svetlana¹  Frank, Jason¹ 

[1] CWI, NL-1090 GB Amsterdam, Netherlands

关键词: Conservative discretizations;    Statistical mechanics;    Geometric numerical integration;    Quasigeostrophic flow;    Geophysical fluid dynamics;   

DOI  :  10.1016/j.jcp.2009.12.012

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free