4 papers · 1 filter
Stochastic reduced-order Koopman model for turbulent flows
Tianyi Chu, Oliver T. Schmidt
A stochastic data-driven reduced-order model applicable to a wide range of turbulent natural and engineering flows is presented. Combining ideas from Koopman theory and spectral mo…
Revealing Structure and Symmetry of Nonlinearity in Natural and Engineering Flows
Brandon Yeung, Tianyi Chu, Oliver T. Schmidt
Energy transfer across scales is fundamental in fluid dynamics, linking large-scale flow motions to small-scale turbulent structures in engineering and natural environments. Triadi…
Mesh-Free Hydrodynamic Stability
Tianyi Chu, Oliver T. Schmidt
A specialized mesh-free radial basis function-based finite difference (RBF-FD) discretization is used to solve the large eigenvalue problems arising in hydrodynamic stability analy…
A stochastic SPOD-Galerkin model for broadband turbulent flows
Tianyi Chu, Oliver T. Schmidt
The use of spectral proper orthogonal decomposition (SPOD) to construct low-order models for broadband turbulent flows is explored. The choice of SPOD modes as basis vectors is mot…