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Context. The study of linear waves and instabilities is necessary tounderstand the physical evolution of an atmosphere, and can provide physicalinterpretation of the complex flows found in simulations performed using GlobalCirculation Models (GCM). In particular, the acceleration of superrotating flowat the equator of hot Jupiters has mostly been studied under severalsimplifying assumptions, the relaxing of which may impact final results. Aims.We develop and benchmark a publicly available algorithm to identify theeigenmodes of an atmosphere around any initial steady state. We also solve forlinear steady states. Methods. We linearise the hydrodynamical equations of aplanetary atmosphere in a steady state with arbitrary velocities and thermalprofile. We then discretise the linearised equations on an appropriatestaggered grid, and solve for eigenvectors and linear steady solutions with theuse of a parallel library for linear algebra: ScaLAPACK. We also implement aposteriori calculation of an energy equation in order to obtain moreinformation on the underlying physics of the mode. Results. Our code isbenchmarked against classical wave and instability test cases in multiplegeometries. The steady linear circulation calculations also reproduce expectedresults for the atmosphere of hot Jupiters. We finally show the robustness ofour energy equation, and its power to obtain physical insight into the modes.Conclusions. We have developed and benchmarked a code for the study of linearprocesses in planetary atmospheres, with an arbitrary steady state. Thecalculation of an a posteriori energy equation provides both increasedrobustness and physical meaning to the obtained eigenmodes. This code can beapplied to various problems, and notably to further study the initial spin upof superrotation of GCM simulations of hot Jupiter.

Eigenvectors, Circulation and Linear Instabilities for Planetary Science in 3 Dimensions (ECLIPS3D)