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pro vyhledávání: '"Graham, Michael D."'
The simulation of turbulent flow requires many degrees of freedom to resolve all the relevant times and length scales. However, due to the dissipative nature of the Navier-Stokes equations, the long-term dynamics are expected to lie on a finite-dimen
Externí odkaz:
http://arxiv.org/abs/2408.03135
The Koopman operator enables the analysis of nonlinear dynamical systems through a linear perspective by describing time evolution in the infinite-dimensional space of observables. Here this formalism is applied to shear flows, specifically the minim
Externí odkaz:
http://arxiv.org/abs/2407.16542
Autor:
Fox, Andrew J, Graham, Michael D.
The dynamics of flexible filaments entrained in flow, important for understanding many biological and industrial processes, are computationally expensive to model with full-physics simulations. This work describes a data-driven technique to create hi
Externí odkaz:
http://arxiv.org/abs/2405.10442
Autor:
Kumar, Manish, Graham, Michael D.
Elastoinertial turbulence (EIT) is a chaotic flow resulting from the interplay between inertia and viscoelasticity in wall bounded shear flows. Understanding EIT is important because it is thought to set a limit on the effectiveness of turbulent drag
Externí odkaz:
http://arxiv.org/abs/2403.06815
Symmetries in a dynamical system provide an opportunity to dramatically improve the performance of data-driven models. For fluid flows, such models are needed for tasks related to design, understanding, prediction, and control. In this work we exploi
Externí odkaz:
http://arxiv.org/abs/2312.10235
The accurate simulation of complex dynamics in fluid flows demands a substantial number of degrees of freedom, i.e. a high-dimensional state space. Nevertheless, the swift attenuation of small-scale perturbations due to viscous diffusion permits in p
Externí odkaz:
http://arxiv.org/abs/2312.03875
Data-driven approximations of the Koopman operator are promising for predicting the time evolution of systems characterized by complex dynamics. Among these methods, the approach known as extended dynamic mode decomposition with dictionary learning (
Externí odkaz:
http://arxiv.org/abs/2310.06790
Autor:
Hommel, Richard J., Graham, Michael D.
In this work, we numerically investigate flow instabilities of inertialess circular Couette flow of dilute wormlike micelle solutions. Using the reformulated reactive rod model (RRM-R) [Hommel and Graham, JNNFM 295 (2021) 104606], which treats micell
Externí odkaz:
http://arxiv.org/abs/2309.02554
Autor:
Kumar, Manish, Graham, Michael D.
The presence of a tiny amount of polymers (a few parts per million) in a fluid dramatically reduces turbulent drag. For this reason, polymer additives have been proposed to be used in flood remediation: in an open channel at a fixed flow rate, the de
Externí odkaz:
http://arxiv.org/abs/2307.00626