A coarse-graining method is introduced to derive multi-scale evolution equations for local available potential energy, including cross-scale fluxes, with an example application to a Kelvin-Helmholtz instability simulation.
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Weakly nonlinear reduction with analytically derived noise terms reveals rare transitions between coexisting periodic orbits in an active rod suspension, with statistics matching full nonlinear simulations at lower cost.
In 2D elasto-inertial turbulence, inertia enhances fluctuations and drives wallward migration of structures with elastic shear stress peaks scaling as y+ ∝ Re_τ^{1/2} and energy conversion peaks as y+ ∝ Re_τ^{0.1}, while PDFs collapse to reveal robust self-similarity.
MEEM framework for generalized concentric bodies achieves 2% convergence an order of magnitude faster than Capytaine with two orders smaller matrices and approximates slanted geometries within 5%.
Experimental characterization identifies three air lubrication regimes and proposes a scaling for the critical air flow rate marking the transition to the air layer regime with up to 60% drag reduction.
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Matrix structure and convergence behaviour of the matched eigenfunction method for computing heave wave forces on generalized concentric bodies
MEEM framework for generalized concentric bodies achieves 2% convergence an order of magnitude faster than Capytaine with two orders smaller matrices and approximates slanted geometries within 5%.