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physics.flu-dyn2022★ 1 cited
Heat transport in a hierarchy of reduced-order convection models
Matthew L. Olson, Charles R. Doering
Reduced-order models (ROMs) are systems of ordinary differential equations (ODEs) designed to approximate the dynamics of partial differential equations (PDEs). In this work, a dis…
physics.flu-dyn2020★ 14 cited
Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization
Matthew L. Olson, David Goluskin, William W. Schultz +1
Upper bounds on time-averaged heat transport are obtained for an eight-mode Galerkin truncation of Rayleigh's 1916 model of natural thermal convection. Bounds for the ODE model---a…