# Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows

@article{Mojgani2017LagrangianBM, title={Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows}, author={Rambod Mojgani and Maciej Balajewicz}, journal={arXiv: Fluid Dynamics}, year={2017} }

Foundations of a new projection-based model reduction approach for convection dominated nonlinear fluid flows are summarized. In this method the evolution of the flow is approximated in the Lagrangian frame of reference. Global basis functions are used to approximate both the state and the position of the Lagrangian computational domain. It is demonstrated that in this framework, certain wave-like solutions exhibit low-rank structure and thus, can be efficiently compressed using relatively few…

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