Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arxiv preprint arxiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Model reduction for flow analysis and control

CW Rowley, STM Dawson - Annual Review of Fluid Mechanics, 2017 - annualreviews.org
Advances in experimental techniques and the ever-increasing fidelity of numerical
simulations have led to an abundance of data describing fluid flows. This review discusses a …

[KNIHA][B] Data-driven science and engineering: Machine learning, dynamical systems, and control

SL Brunton, JN Kutz - 2022 - books.google.com
Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …

[KNIHA][B] Dynamic mode decomposition: data-driven modeling of complex systems

The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …

[HTML][HTML] Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations

P Pant, R Doshi, P Bahl, A Barati Farimani - Physics of Fluids, 2021 - pubs.aip.org
Reduced order modeling (ROM) has been widely used to create lower order,
computationally inexpensive representations of higher-order dynamical systems. Using …

A comprehensive review of thermo-physical properties and convective heat transfer to nanofluids

KH Solangi, SN Kazi, MR Luhur, A Badarudin, A Amiri… - Energy, 2015 - Elsevier
Nanofluids are fluid nanoparticle suspensions that exhibit enhanced properties at modest
nanoparticle concentrations. Nanofluids have unique heat transfer properties and are …

Koopman analysis by the dynamic mode decomposition in wind engineering

CY Li, Z Chen, X Zhang, KT Tim, C Lin - Journal of Wind Engineering and …, 2023 - Elsevier
The Koopman theory, a concept to globally model nonlinear signals by a linear Hamiltonian,
has been at the frontier of fluid mechanics research for the last decade. Wind engineering …

Best practice guidelines for the dynamic mode decomposition from a wind engineering perspective

CY Li, Z Chen, AU Weerasuriya, X Zhang, X Lin… - Journal of Wind …, 2023 - Elsevier
This paper distills the serial work of Li et al., 2020a, Li et al., 2021, Li et al., 2022a, Li et al.,
2022b, Li et al., 2022c, Li et al., 2023a, Li et al., 2023b into a practice guide for the Dynamic …

Dynamic mode decomposition on pressure flow field analysis: Flow field reconstruction, accuracy, and practical significance

CY Li, KT Tim, G Hu - Journal of Wind Engineering and Industrial …, 2020 - Elsevier
This study applies the Dynamic Mode Decomposition (DMD) technique to a prototypical
wind engineering problem of flow past a square prism at a Reynolds number of 22,000 to …

[HTML][HTML] Heat transfer in magnetohydrodynamic nanofluid flow past a circular cylinder

A KS - Physics of Fluids, 2020 - pubs.aip.org
Multi-phase modeling considering the nanofluid heterogeneity and slip velocity is not
explored in simulating nanofluid flow and heat transfer at higher Reynolds numbers (Re). A …