Abstract. A derivation of discrete dynamical equations for the dry atmosphere in the absence of dissipative processes based on the least action (i.e. Hamilton's) principle is presented. This approach can be considered the finite-element method applied to the calculation and minimization of the action. The algorithm possesses the following characteristic features: For a given set of grid points and a given forward operator (i.e. the mode of interpolation), through the minimization of action, the algorithm ensures maximal closeness (in a broad sense) of the evolution of the discrete system to the motion of the continuous atmosphere (a dynamically optimal algorithm). The grid points can be irregularly spaced, allowing for variable spatial resolution. The spatial resolution can be adjusted locally while executing calculations. By using a set of tetrahedra as finite elements the algorithm ensures a better representation of the topography (piecewise linear rather than staircase). The algorithm automatically calculates the evolution of passive tracers by following the trajectories of the fluid particles, which ensures that all tracer properties required a priori are satisfied. For testing purposes, the algorithm is realized in 2D, and a numerical example representing a convection event is presented.

Alexander G. Voronovich

Nonlinear processes in geophysics

NONLINEAR PROCESSES IN GEOPHYSICS (NPG) 是一本国际性、跨学科/跨学科的非营利性期刊，致力于打破地球和空间科学标准方法经常面临的僵局。因此，它寻求颠覆性和创新的概念和方法，以及这些概念和方法的原始应用，以解决地球科学系统以及相互作用的社会和生物系统中普遍存在的复杂性。这样的系统是非线性的，响应与扰动非常不成比例，并显示出跨尺度的相关极端可变性。

Nonlinear Processes in Geophysics (NPG) is an international, interdisciplinary, non-profit journal dedicated to overcoming the limitations often faced by standard methods in Earth and space sciences. It seeks to explore disruptive and innovative concepts and methods, as well as their original applications in addressing the pervasive complexities present in Earth science systems and their interactions with social and biological systems. Such systems are typically nonlinear, exhibiting disproportionately large responses to disturbances and showing extreme variability across scales.

《Nonlinear Processes in Geophysics》（NPG）是一本国际性、跨学科的非营利性期刊，旨在突破地球与空间科学标准方法所面临的局限。期刊致力于探索颠覆性和创新的概念与方法，以及这些概念和方法在解决地球科学系统及其与社会和生物系统相互作用中普遍存在的复杂性方面的原始应用。这些系统通常是非线性的，对扰动的响应往往不成比例，并且表现出跨尺度的极端可变性。

Category	Quartile
地球科学	4
地球科学, 地球科学综合	4
地球科学, 数学跨学科应用	4
地球科学, 气象与大气科学	4
地球科学, 物理流体与等离子体	4

Dynamically optimal models of atmospheric motion

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Journal Info

Category	Quartile
PHYSICS, FLUIDS & PLASMAS	3