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Joël Arnault, Thomas Rummler, Florian Baur, Sebastian Lerch, Sven Wagner, Benjamin Fersch, Zhenyu Zhang, Noah Kerandi, Christian Keil, and Harald Kunstmann

the runoff–infiltration partitioning parameter ( Arnault et al. 2016 ). Furthermore, the terrestrial water budget equation resolved in WRF can be written as with precipitation P being equal to the sum of surface evaporation/sublimation E ; surface and underground runoff being R S and R G , respectively; and a terrestrial water storage term Δ S that includes soil moisture, canopy water, and snow cover change. In this study, the terms of Eq. (2) are computed as water flux rates in

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Volkmar Wirth, Michael Riemer, Edmund K. M. Chang, and Olivia Martius

conservative (i.e., adiabatic and frictionless) conditions. By contrast, wave activity and the associated wave activity flux do satisfy a conservation relation, for conservative flow. It means that the flux completely accounts for the local rate of change of wave activity , and there are no further adiabatic sources and sinks, in contrast to the EKE budget equation (3) . As a consequence, wave activity is globally conserved during the conservative propagation of a wave packet. This facilitates

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