The dynamics of finite-sized particles with large inertia are investigated in steady and time-dependent flows through the numerical solution of the invariance equation, describing the spatiotemporal evolution of the slow/inertial manifold representing the effective particle velocity field. This approach allows for an accurate reconstruction of the effective particle divergence field, controlling clustering/dispersion features of particles with large inertia for which a perturbative approach is either inaccurate or not even convergent. The effect of inertia on heavy and light particles is quantified in terms of the rate of contraction/expansion of volume elements along a particle trajectory and of the maximum Lyapunov exponent for systems exhibiting chaotic orbits, such as the time-periodic sine-flow on the 2D torus and the time-dependent 2D cavity flow.

Invariant manifold approach for quantifying the dynamics of highly inertial particles in steady and time-periodic incompressible flows / Venditti, Claudia; Giona, Massimiliano; Adrover, Alessandra. - In: CHAOS. - ISSN 1054-1500. - 32:2(2022). [10.1063/5.0081556]

Invariant manifold approach for quantifying the dynamics of highly inertial particles in steady and time-periodic incompressible flows

Claudia Venditti
Primo
;
Massimiliano Giona
Secondo
;
Alessandra Adrover
Ultimo
2022

Abstract

The dynamics of finite-sized particles with large inertia are investigated in steady and time-dependent flows through the numerical solution of the invariance equation, describing the spatiotemporal evolution of the slow/inertial manifold representing the effective particle velocity field. This approach allows for an accurate reconstruction of the effective particle divergence field, controlling clustering/dispersion features of particles with large inertia for which a perturbative approach is either inaccurate or not even convergent. The effect of inertia on heavy and light particles is quantified in terms of the rate of contraction/expansion of volume elements along a particle trajectory and of the maximum Lyapunov exponent for systems exhibiting chaotic orbits, such as the time-periodic sine-flow on the 2D torus and the time-dependent 2D cavity flow.
2022
inertial particles; dissipative dynamics; chaotic flows; Lyapunov exponents
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Invariant manifold approach for quantifying the dynamics of highly inertial particles in steady and time-periodic incompressible flows / Venditti, Claudia; Giona, Massimiliano; Adrover, Alessandra. - In: CHAOS. - ISSN 1054-1500. - 32:2(2022). [10.1063/5.0081556]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1612012
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