Evaluation of WENO and TENO schemes for the simulation of atmospheric flows
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Over the course of the last decade, a remarkable evolution has unfolded in both operational and research-based Numerical Weather Prediction (NWP) dynamical cores. The use of non-hydrostatic models in combination with very high order numerical schemes has allowed for more accurate representation of atmospheric processes across a larger range of spatial and temporal scales. In this work, we analyse the use of WENO and TENO finite-volume schemes to compute atmospheric flows. Such models are based on the Euler equations with gravitational source term i.e. mass conservation, momentum conservation and energy conservation. Two different models are considered, one is energy-conserving whereas the other does not ensure the conservation of total energy. The first goal of this study is to evaluate the performance of TENO schemes for this application. We also aim to assess the spectral properties of WENO and TENO for the resolution of under-resolved turbulent flows to determine the capabilities of the methods for implicit Large Eddy Simulation and cloud resolving purposes.
