Reconciling and improving formulations for thermodynamics and conservation principles in Earth System Models (ESMs)

Nicholas Kevlahan1, Peter Hjort Lauritzen2, Thomas Toniazzo3, Christopher Eldred4, Thomas Dubos5, Almut Gassmann6, Vincent E Larson7, Christiane Jablonowski8, Oksana Guba9,10, Ben J Shipway11, Bryce E Harrop12, Florian Lemarié13, Remi Tailleux3, Adam R Herrington14, William Large15, Philip J Rasch16, Aaron Sheffield Donahue17, Hui Wan18, Andrew J Conley19 and Julio T Bacmeister20, (1)McMaster University, Department of Mathematics and Statistic, Hamilton, Canada, (2)National Center for Atmospheric Research, Boulder, CO, United States, (3)University of Reading, Reading, RG6, United Kingdom, (4)Colorado State University, Fort Collins, CO, United States, (5)Laboratoire de Météorologie Dynamique Palaiseau, Palaiseau Cedex, France, (6)Leibniz-Institute of Atmospheric Physics, University of Rostock, Kuehlungsborn, Germany, (7)University of Wisconsin-Milwaukee, Milwaukee, WI, United States, (8)University of Michigan, Ann Arbor, United States, (9)Lethbridge, AB, Canada, (10)Sandia National Laboratories, Albuquerque, United States, (11)United Kingdom Met Office, Exeter, United Kingdom, (12)Pacific Northwest National Laboratory, Atmospheric Sciences and Global Change Division, Richland, WA, United States, (13)Univ. Grenoble Alpes, Inria, Grenoble, France, (14)National Center for Atmospheric Research, Climate and Global Dynamics Laboratory, Boulder, CO, United States, (15)NCAR, Boulder, CO, United States, (16)Pacific Northwest National Lab, Richland, WA, United States, (17)University of Notre Dame, Notre Dame, IN, United States, (18)Pacific Northwest National Laboratory, Richland, WA, United States, (19)National Center for Atmospheric Research, Atmospheric Chemistry Observations & Modeling, Boulder, CO, United States, (20)AMP/CGD, Boulder, CO, United States