34 citations · 138 across the 10 of their papers we have counts for
11 papers
Statistical Measures and Selective Decay Principle for Generalized Euler Dynamics: Formulation and Application to the Formation of Strong Fronts
Giovanni Conti, Gualtiero Badin
In this work we investigate the statistical mechanics of a family of two dimensional (2D) fluid flows, described by the generalized Euler equations, or -models. These models des…
Geometric Lagrangian averaged Euler-Boussinesq and primitive equations
Gualtiero Badin, Marcel Oliver, Sergiy Vasylkevych
In this article we derive the equations for a rotating stratified fluid governed by inviscid Euler-Boussinesq and primitive equations that account for the effects of the perturbati…
Collapse of generalized Euler and surface quasi-geostrophic point-vortices
Gualtiero Badin, Anna M. Barry
Point vortex models are presented for the generalized Euler equations, which are characterized by a fractional Laplacian relation between the active scalar and the streamfunction.…
Hyperbolic Covariant Coherent Structures in two dimensional flows
Giovanni Conti, Gualtiero Badin
A new method to describe hyperbolic patterns in two dimensional flows is proposed. The method is based on the Covariant Lyapunov Vectors (CLVs), which have the properties to be cov…
Construction of Hamiltonian and Nambu forms for the shallow water equations
Richard Blender, Gualtiero Badin
A systematic method to derive the Hamiltonian and Nambu form for the shallow water equations, using the conservation for energy and potential enstrophy, is presented. Different mec…
Three dimensional chaotic advection by mixed layer baroclinic instabilities
Daniel Mukiibi, Gualtiero Badin, Nuno Serra
Three dimensional (3D) Finite Time Lyapunov Exponents (FTLEs) are computed from numerical simulations of a freely evolving mixed layer (ML) front in a zonal channel undergoing baro…
Nonlinear stratospheric variability: multifractal detrended fluctuation analysis and singularity spectra
Gualtiero Badin, Daniela I. V. Domeisen
Characterising the stratosphere as a turbulent system, temporal fluctuations often show different correlations for different time scales as well as intermittent behaviour that cann…
On the role of non-uniform stratification and short-wave instabilities in three-layer quasi-geostrophic turbulence
Gualtiero Badin
The role of short-wave instabilities on geostrophic turbulence is studied in a simplified model consisting of three layers in the quasi-geostrophic approximation. The linear stabil…
Hydrodynamic Nambu Brackets derived by Geometric Constraints
Richard Blender, Gualtiero Badin
A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a peri…
A study of surface semi-geostrophic turbulence: freely decaying dynamics
Francesco Ragone, Gualtiero Badin
In this study we give a characterization of semi-geostrophic turbulence by performing freely decaying simulations for the case of constant uniform potential vorticity, a set of equ…
Representation of Viscous Dissipation in 2D Fluid Dynamics as a Symplectic Process and its Metriplectic Representation
Richard Blender, Gualtiero Badin
Dissipation can be represented in Hamiltonian mechanics in an extended phase space as a symplectic process. The method uses an auxiliary variable which represents the excitation of…