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pro vyhledávání: '"Graham, Michael"'
Elastoinertial turbulence (EIT) is a chaotic state that emerges in the flows of dilute polymer solutions. Direct numerical simulation (DNS) of EIT is highly computationally expensive due to the need to resolve the multi-scale nature of the system. Wh
Externí odkaz:
http://arxiv.org/abs/2410.02948
Complex chaotic dynamics, seen in natural and industrial systems like turbulent flows and weather patterns, often span vast spatial domains with interactions across scales. Accurately capturing these features requires a high-dimensional state space t
Externí odkaz:
http://arxiv.org/abs/2410.01238
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
Autor:
Graham, Michael William
Crop management practices, such as soil tillage and crop residue management, are land management activities with potentially large impacts on carbon (C) cycling and climate at the global scale. Improvements in crop management practices, such as conse
Externí odkaz:
http://hdl.handle.net/10919/102386
Autor:
Yu, Yijiang, Graham, Michael
We present a numerical study of a thin elastic sheet with small extensibility freely sedimenting in a viscous fluid. Two scenarios are investigated: sedimentation in free space and near an infinite wall, where the wall may be vertical or tilted. Elas
Externí odkaz:
http://arxiv.org/abs/2310.08722