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  • Pubblicazione
    Data-driven global stability of vertical planar liquid jets by dynamic mode decomposition on random perturbations
    ( 2022)
    Colanera, Antonio
    ;
    Della Pia, Alessandro
    ;
    Chiatto, Matteo
    A data-driven approach to estimate the global spectrum of gravitational planar liquid jets (sheet or curtain flows) is presented in this work. The investigation is carried out by means of two-dimensional numerical simulations performed through the solver BASILISK, based on the one-fluid formulation and the volume-of-fluid approach. The dynamic mode decomposition technique is applied to extract the underlying linear operator, considering random perturbations of the base flow. The effectiveness of this procedure is first evaluated comparing results with those of a simplified one-dimensional curtain model in terms of spectrum and eigenfunctions. The methodology is then applied to a two-dimensional configuration obtaining the BiGlobal spectra for both supercritical (Weber number We > 1) and subcritical (We < 1) regimes. Results highlight that in supercritical regime, the spectrum presents three branches: the upper and lower ones exhibit a purely sinuous behavior with frequencies quite close to those predicted by the one-dimensional model; the middle branch presents a predominant varicose component, increasing with the frequency. The subcritical spectrum, instead, shows that the first two less stable eigenvalues, sorted by increasing frequency, exhibit, respectively, a sinuous and a varicose behavior, while their growth rate is almost the same. As expected, the subcritical regime does not reveal the slow branch. The effect of the density ratio, r ρ, between the two phases is investigated, revealing that the flow system is unstable for r ρ > 0.05. Topological inspections of the leading modes in this unstable configuration show that the predominance of a varicose behavior is related to the rupture of the curtain.
  • Pubblicazione
    Robust spectral proper orthogonal decomposition
    ( 2025)
    Colanera, Antonio
    ;
    Schmidt, Oliver T.
    ;
    Chiatto, Matteo
    Experimental measurements often present corrupted data and outliers that can strongly affect the main coherent structures extracted with the classical modal analysis techniques. This effect is amplified at high frequencies, whose corresponding modes are more susceptible to contamination from measurement noise and uncertainties. Such limitations are overcome by a novel approach proposed here, the robust spectral proper orthogonal decomposition (robust SPOD), which implements the robust principal component analysis within the SPOD technique. The new technique is firstly presented with details on its algorithm, and its effectiveness is tested on two different fluid dynamics problems: the subsonic jet flow field numerically simulated, and the flow within an open cavity experimentally analyzed in [48]. The analysis of the turbulent jet data, corrupted both with salt and pepper and Gaussian noise, shows how the robust SPOD produces more converged and physically interpretable modes than the classical SPOD; moreover, the use of the robust SPOD as a tool for de-noising data, based on the signal reconstruction from de-noised modes, is also presented. Applying robust SPOD to the open cavity flow has revealed that it yields smoother spatial distributions of modes, particularly at high frequencies and when considering higher-order modes, compared to standard SPOD.
  • Pubblicazione
    Analysis of correlated flow fields via extended cluster-based network models
    (Scipedia S.L., 2024)
    Colanera, A.
    ;
    Reumschuessel, M.
    ;
    Beuth, J.
    ;
    Chiatto, M.
    ;
    de Luca, L.
    ;
    Oberleithner, K.
    This study introduces the Extended Cluster-based Network Modeling (eCNM), an innovative approach designed to enhance the understanding of coherent structures in turbulent flows. The eCNM focuses on characterizing the dynamics within specific subspaces or subsets of variables, providing valuable insights into complex flow phenomena. In the context of Proper Orthogonal Decomposition, several extended approaches have been proposed to tackle these challenges, such as Extended POD (EPOD) and Extended SPOD (ESPOD). One powerful method for data-driven modeling of complex nonlinear dynamics is the standard Cluster-based Network Modeling (CNM), consisting in an unsupervised machine learning procedure to reduce a dataset of snapshots to a few representative flow states. However, the presence of variable heterogeneity and measurement noise, both in time and space, can complicate interpretations and model training. The Extended Clustering approach offers enhanced control over the clustering process, can lead to significant computational savings, enables the extraction of dynamical features correlated with a specific subdomain or subset of variables, and facilitates the clustering of heterogeneous variables that are challenging to incorporate in a spatial norm. To demonstrate the effectiveness of the eCNM, it has been employed for the analysis of a swirl flame in unforced conditions, characterized by a precessing vortex core (PVC).
  • Pubblicazione
    Spontaneous symmetry breaking on surface defects
    ( 2024)
    Cuomo G.
    ;
    Zhang S.
    Coleman’s theorem states that continuous internal symmetries cannot be spontaneously broken in two-dimensional quantum field theories (QFTs). In this work we consider surface (i.e. two-dimensional) defects in d-dimensional conformal field theories (CFTs) invariant under a continuous internal symmetry group G. We study under which conditions it is possible for a surface defect to break spontaneously a continuous internal symmetry. We find that spontaneous symmetry breaking (SSB) is impossible under reasonable assumptions on the defect Renormalization Group (RG) flow. Counterexamples are possible only for exotic RG flows, that do not terminate at a fixed-point. We discuss an example of this kind. We also illustrate our no-go result with an effective field theory analysis of generic defect RG flows. We find a generic weakly coupled defect universality class (with no SSB), where correlation functions decay logarithmically. Our analysis generalizes the recent discovery by Metlitski of the extraordinary-log boundary universality class in the O(N) model.
  • Pubblicazione
    Modal decomposition analysis of unsteady viscous liquid sheet flows
    ( 2021)
    Colanera, Antonio
    ;
    Della Pia, Alessandro
    ;
    Chiatto, Matteo
    ;
    de Luca, Luigi
    ;
    Grasso, Francesco
    The unsteady dynamics of a gravitational liquid sheet, driven by a continuous harmonic perturbation in the lateral velocity component applied at the inlet section, is analyzed. The topology and the dynamics of the relevant flow structures are characterized by applying POD (Proper Orthogonal Decomposition) and spectral POD (SPOD) modal decompositions on two-dimensional two-phase numerical simulation data obtained with the volume-of-fluid approach. The investigation is carried out by varying the Weber number, the forcing frequency (Strouhal number), and the Reynolds number. The supercritical regime (We > 1) features a traveling perturbation, exhibiting a spatial structure with leading sinuous modes. SPOD spectra confirm the occurrence of a discontinuity in frequency response between the supercritical and subcritical regimes. In the subcritical regime (We < 1), the investigation highlights the excitation of a combined sinuous-varicose motion when the system is driven at resonance frequency for a relatively high Reynolds number (approaching the inviscid limit). The emergence of varicose modes is favored by low Weber numbers. The excitation of these modes occurs when the Weber number is decreased from We = 0.90 down to 0.75, with a progressive shift of the varicose mode from higher harmonics toward the main frequency; it can be considered as a possible mechanism of breakup observed in experiments when the inlet flow rate is progressively reduced. The flow reconstruction based on both POD and SPOD confirms the good capability of SPOD modes to capture dynamically relevant features of the fluid motion in subcritical conditions.