# Geophysical fluid models with simple energy backscatter: explicit flows and unbounded exponential growth

@article{Prugger2022GeophysicalFM, title={Geophysical fluid models with simple energy backscatter: explicit flows and unbounded exponential growth}, author={A. Prugger and J. D. M. Rademacher and Junliang Yang}, journal={Geophysical \& Astrophysical Fluid Dynamics}, year={2022} }

Motivated by numerical schemes for large scale geophysical flow, we consider the rotating shallow water and Boussinesq equations on the whole space with horizontal kinetic energy backscatter source terms built from constant negative viscosity and stabilising hyperviscosity. We study the impact of this energy input through various explicit flows, which are simultaneously solving the nonlinear equations and the linear equations that arise upon dropping the transport nonlinearity, i.e., the…

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