Contribution to a book

FZJ-2025-05418

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Hamiltonian dynamics

Shepherd, T. (Corresponding author)FZJ*

2025
Academic Press London

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Please use a persistent id in citations: doi:10.1016/B978-0-323-96026-7.00167-3

Abstract: Hamiltonian dynamics describes the evolution of conservative physical systems. Originally developed as a generalization of Newtonian mechanics, it represents a core component of any undergraduate physics curriculum. What is not so widely recognized is that the ideal (i.e. conservative) form of the governing equations used in dynamical meteorology are also Hamiltonian dynamical systems. This chapter explains how this is so, and some of the consequences that follow from this fact. It is important to be able to connect theoretical results across the hierarchy of various models used in dynamical meteorology, from the simplest to the most complex. Hamiltonian dynamics is what allows one to do precisely that.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2025

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